Beispiel #1
0
    def create_polyhedrons(self, create_polyhedron, altitudes, min_altitude,
                           crops):
        if self.altitude2 is None:
            altitudes = self.altitude

        self.base = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.bottom = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.geometry.build_polyhedron(create_polyhedron,
                                       lower=altitudes - int(0.7 * 1000),
                                       upper=altitudes,
                                       crops=crops)
        self.base.build_polyhedron(create_polyhedron,
                                   lower=min_altitude - int(0.7 * 1000),
                                   upper=altitudes - int(0.7 * 1000),
                                   crops=crops,
                                   top=False,
                                   bottom=False)
        self.bottom.build_polyhedron(create_polyhedron,
                                     lower=0,
                                     upper=1,
                                     crops=crops,
                                     top=False)

        for geometry in chain(*(areas.values()
                                for areas in self.colors.values())):
            geometry.build_polyhedron(create_polyhedron,
                                      lower=altitudes,
                                      upper=altitudes + int(0.001 * 1000),
                                      crops=crops)
        for height, height_geometries in self.obstacles.items():
            for geometry in height_geometries:
                geometry.build_polyhedron(create_polyhedron,
                                          lower=altitudes,
                                          upper=altitudes + height,
                                          crops=crops)
Beispiel #2
0
    def create_polyhedrons(self, create_polyhedron, altitudes, min_altitude, crops):
        if self.altitude2 is None:
            altitudes = self.altitude

        self.base = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.bottom = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.geometry.build_polyhedron(create_polyhedron,
                                       lower=altitudes - int(0.7 * 1000),
                                       upper=altitudes,
                                       crops=crops)
        self.base.build_polyhedron(create_polyhedron,
                                   lower=min_altitude - int(0.7 * 1000),
                                   upper=altitudes - int(0.7 * 1000),
                                   crops=crops,
                                   top=False, bottom=False)
        self.bottom.build_polyhedron(create_polyhedron,
                                     lower=0, upper=1,
                                     crops=crops,
                                     top=False)

        for geometry in chain(*(areas.values() for areas in self.colors.values())):
            geometry.build_polyhedron(create_polyhedron,
                                      lower=altitudes,
                                      upper=altitudes + int(0.001 * 1000),
                                      crops=crops)
        for height, height_geometries in self.obstacles.items():
            for geometry in height_geometries:
                geometry.build_polyhedron(create_polyhedron,
                                          lower=altitudes,
                                          upper=altitudes + height,
                                          crops=crops)
Beispiel #3
0
    def create_hybrid_geometries(self, face_centers):
        vertices_offset = self.vertices.shape[0]
        faces_offset = self.faces.shape[0]
        new_vertices = deque()
        new_faces = deque()
        for area in self.altitudeareas:
            area_vertices, area_faces = area.create_hybrid_geometries(face_centers, vertices_offset, faces_offset)
            vertices_offset += area_vertices.shape[0]
            faces_offset += area_faces.shape[0]
            new_vertices.append(area_vertices)
            new_faces.append(area_faces)
        if new_vertices:
            self.vertices = np.vstack((self.vertices, *new_vertices))
            self.faces = np.vstack((self.faces, *new_faces))

        self.heightareas = tuple((HybridGeometry.create(area, face_centers), height)
                                 for area, height in self.heightareas)
        self.walls = HybridGeometry.create(self.walls, face_centers)
        self.short_walls = tuple((altitudearea, HybridGeometry.create(geom, face_centers))
                                 for altitudearea, geom in self.short_walls)
        self.all_walls = HybridGeometry.create(self.all_walls, face_centers)
        self.doors = HybridGeometry.create(self.doors, face_centers)
        self.restricted_spaces_indoors = {key: HybridGeometry.create(geom, face_centers)
                                          for key, geom in self.restricted_spaces_indoors.items()}
        self.restricted_spaces_outdoors = {key: HybridGeometry.create(geom, face_centers)
                                           for key, geom in self.restricted_spaces_outdoors.items()}
Beispiel #4
0
    def create_hybrid_geometries(self, face_centers):
        vertices_offset = self.vertices.shape[0]
        faces_offset = self.faces.shape[0]
        new_vertices = deque()
        new_faces = deque()
        for area in self.altitudeareas:
            area_vertices, area_faces = area.create_hybrid_geometries(face_centers, vertices_offset, faces_offset)
            vertices_offset += area_vertices.shape[0]
            faces_offset += area_faces.shape[0]
            new_vertices.append(area_vertices)
            new_faces.append(area_faces)
        if new_vertices:
            self.vertices = np.vstack((self.vertices, *new_vertices))
            self.faces = np.vstack((self.faces, *new_faces))

        self.heightareas = tuple((HybridGeometry.create(area, face_centers), height)
                                 for area, height in self.heightareas)
        self.walls = HybridGeometry.create(self.walls, face_centers)
        self.short_walls = tuple((altitudearea, HybridGeometry.create(geom, face_centers))
                                 for altitudearea, geom in self.short_walls)
        self.all_walls = HybridGeometry.create(self.all_walls, face_centers)
        self.doors = HybridGeometry.create(self.doors, face_centers)
        self.restricted_spaces_indoors = {key: HybridGeometry.create(geom, face_centers)
                                          for key, geom in self.restricted_spaces_indoors.items()}
        self.restricted_spaces_outdoors = {key: HybridGeometry.create(geom, face_centers)
                                           for key, geom in self.restricted_spaces_outdoors.items()}
Beispiel #5
0
 def _call_create_full(self, mapping, key, faces, vertices, faces_offset, vertices_offset):
     geom = mapping[key]
     new_geom, new_vertices, new_faces = HybridGeometry.create_full(geom, vertices_offset, faces_offset)
     mapping[key] = new_geom
     vertices_offset += new_vertices.shape[0]
     faces_offset += new_faces.shape[0]
     vertices.append(new_vertices)
     faces.append(new_faces)
     return faces_offset, vertices_offset
Beispiel #6
0
 def _call_create_full(self, mapping, key, faces, vertices, faces_offset,
                       vertices_offset):
     geom = mapping[key]
     new_geom, new_vertices, new_faces = HybridGeometry.create_full(
         geom, vertices_offset, faces_offset)
     mapping[key] = new_geom
     vertices_offset += new_vertices.shape[0]
     faces_offset += new_faces.shape[0]
     vertices.append(new_vertices)
     faces.append(new_faces)
     return faces_offset, vertices_offset
Beispiel #7
0
    def create_hybrid_geometries(self, face_centers, vertices_offset, faces_offset):
        self.geometry = HybridGeometry.create(self.geometry, face_centers)

        vertices = deque()
        faces = deque()

        for color, areas in self.colors.items():
            for key in tuple(areas.keys()):
                faces_offset, vertices_offset = self._call_create_full(areas, key, faces, vertices,
                                                                       faces_offset, vertices_offset)

        for key in tuple(self.obstacles.keys()):
            height_obstacles = list(self.obstacles[key])
            for i in range(len(height_obstacles)):
                faces_offset, vertices_offset = self._call_create_full(height_obstacles, i, faces, vertices,
                                                                       faces_offset, vertices_offset)
            self.obstacles[key] = tuple(height_obstacles)

        if not vertices:
            return np.empty((0, 2), dtype=np.int32), np.empty((0, 3), dtype=np.uint32)
        return np.vstack(vertices), np.vstack(faces)
Beispiel #8
0
    def create_hybrid_geometries(self, face_centers, vertices_offset,
                                 faces_offset):
        self.geometry = HybridGeometry.create(self.geometry, face_centers)

        vertices = deque()
        faces = deque()

        for color, areas in self.colors.items():
            for height in tuple(areas.keys()):
                faces_offset, vertices_offset = self._call_create_full(
                    areas, height, faces, vertices, faces_offset,
                    vertices_offset)

        for height_obstacles in self.obstacles.values():
            for color_obstacles in height_obstacles.values():
                for i in range(len(color_obstacles)):
                    faces_offset, vertices_offset = self._call_create_full(
                        color_obstacles, i, faces, vertices, faces_offset,
                        vertices_offset)

        if not vertices:
            return np.empty((0, 2), dtype=np.int32), np.empty((0, 3),
                                                              dtype=np.uint32)
        return np.vstack(vertices), np.vstack(faces)
Beispiel #9
0
    def build_mesh(self, interpolator=None):
        """
        Build the entire mesh
        """

        # first we triangulate most polygons in one go
        rings = tuple(chain(*(get_rings(geom) for geom in self.get_geometries())))
        self.vertices, self.faces = triangulate_rings(rings)
        self.create_hybrid_geometries(face_centers=self.vertices[self.faces].sum(axis=1) / 3000)

        # calculate altitudes
        vertex_altitudes = self._build_vertex_values(reversed(self.altitudeareas),
                                                     area_func=operator.attrgetter('geometry'),
                                                     value_func=self._get_altitudearea_vertex_values)
        vertex_heights = self._build_vertex_values(self.heightareas,
                                                   area_func=operator.itemgetter(0),
                                                   value_func=lambda a, i: a[1])
        vertex_wall_heights = vertex_altitudes + vertex_heights

        # remove altitude area faces inside walls
        for area in self.altitudeareas:
            area.remove_faces(reduce(operator.or_, self.walls.faces, set()))

        # create polyhedrons
        # we build the walls to often so we can extend them to create leveled 3d model bases.
        self.walls_base = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_bottom = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_extended = HybridGeometry(self.walls.geom, self.walls.faces)
        self.walls.build_polyhedron(self._create_polyhedron,
                                    lower=vertex_altitudes - int(0.7 * 1000),
                                    upper=vertex_wall_heights)

        for altitudearea, geom in self.short_walls:
            geom.build_polyhedron(self._create_polyhedron,
                                  lower=vertex_altitudes - int(0.7 * 1000),
                                  upper=self._build_vertex_values([(altitudearea, geom)],
                                                                  area_func=operator.itemgetter(1),
                                                                  value_func=self._get_short_wall_vertex_values))
        self.short_walls = tuple(geom for altitude, geom in self.short_walls)

        # make sure we are able to crop spaces when a access restriction is apply
        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.crop_ids = frozenset(('in:%s' % key, ))
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.crop_ids = frozenset(('out:%s' % key, ))
        crops = tuple((crop, prepared.prep(crop.geom)) for crop in chain(self.restricted_spaces_indoors.values(),
                                                                         self.restricted_spaces_outdoors.values()))

        self.doors_extended = HybridGeometry(self.doors.geom, self.doors.faces)
        self.doors.build_polyhedron(self._create_polyhedron,
                                    crops=crops,
                                    lower=vertex_altitudes + self.door_height,
                                    upper=vertex_wall_heights - 1)

        if interpolator is not None:
            upper = interpolator(*np.transpose(self.vertices)).astype(np.int32) - int(0.7 * 1000)
            self.walls_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights,
                                                 upper=upper,
                                                 bottom=False)
            self.doors_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights - 1,
                                                 upper=upper,
                                                 bottom=False)
        else:
            self.walls_extended = None
            self.doors_extended = None

        for area in self.altitudeareas:
            area.create_polyhedrons(self._create_polyhedron,
                                    area.get_altitudes(self.vertices),
                                    min_altitude=self.min_altitude,
                                    crops=crops)

        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.build_polyhedron(self._create_polyhedron,
                                      lower=vertex_altitudes,
                                      upper=vertex_wall_heights,
                                      bottom=False)
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.faces = ()  # todo: understand this

        self.walls_base.build_polyhedron(self._create_polyhedron,
                                         lower=self.min_altitude - int(0.7 * 1000),
                                         upper=vertex_altitudes - int(0.7 * 1000),
                                         top=False, bottom=False)
        self.walls_bottom.build_polyhedron(self._create_polyhedron, lower=0, upper=1, top=False)

        # unset heightareas, they are no loinger needed
        self.all_walls = None
        self.ramps = None
        # self.heightareas = None
        self.vertices = None
        self.faces = None
Beispiel #10
0
class LevelGeometries:
    """
    Store geometries for a Level.
    """
    def __init__(self):
        self.buildings = None
        self.altitudeareas = []
        self.heightareas = []
        self.walls = None
        self.walls_extended = None
        self.all_walls = None
        self.short_walls = []
        self.doors = None
        self.doors_extended = None
        self.holes = None
        self.access_restriction_affected = None
        self.restricted_spaces_indoors = None
        self.restricted_spaces_outdoors = None
        self.affected_area = None
        self.ramps = []

        self.vertices = None
        self.faces = None

        self.walls_base = None
        self.walls_bottom = None

        self.pk = None
        self.on_top_of_id = None
        self.short_label = None
        self.base_altitude = None
        self.default_height = None
        self.door_height = None
        self.min_altitude = None
        self.max_altitude = None
        self.max_height = None

        self.lower_bound = None
        self.upper_bound = None

    def __repr__(self):
        return '<LevelGeometries for Level %s (#%d)>' % (self.short_label, self.pk)

    @classmethod
    def build_for_level(cls, level, altitudeareas_above):
        geoms = LevelGeometries()
        buildings_geom = unary_union([b.geometry for b in level.buildings.all()])
        geoms.buildings = buildings_geom
        buildings_geom_prep = prepared.prep(buildings_geom)

        # remove columns and holes from space areas
        for space in level.spaces.all():
            subtract = []
            if space.outside:
                subtract.append(buildings_geom)
            columns = [c.geometry for c in space.columns.all() if c.access_restriction_id is None]
            if columns:
                subtract.extend(columns)
            if subtract:
                space.geometry = space.geometry.difference(unary_union(subtract))

            holes = tuple(h.geometry for h in space.holes.all())
            if holes:
                space.holes_geom = unary_union([h.geometry for h in space.holes.all()])
                space.walkable_geom = space.geometry.difference(space.holes_geom)
                space.holes_geom = space.geometry.intersection(space.holes_geom)
            else:
                space.holes_geom = empty_geometry_collection
                space.walkable_geom = space.geometry

        spaces_geom = unary_union([s.geometry for s in level.spaces.all()])
        doors_geom = unary_union([d.geometry for d in level.doors.all()])
        doors_geom = doors_geom.intersection(buildings_geom)
        walkable_spaces_geom = unary_union([s.walkable_geom for s in level.spaces.all()])
        geoms.doors = doors_geom.difference(walkable_spaces_geom)
        if level.on_top_of_id is None:
            geoms.holes = unary_union([s.holes_geom for s in level.spaces.all()])

        # keep track which areas are affected by access restrictions
        access_restriction_affected = {}

        # keep track wich spaces to hide
        restricted_spaces_indoors = {}
        restricted_spaces_outdoors = {}

        # go through spaces and their areas for access control, ground colors, height areas and obstacles
        colors = {}
        obstacles = {}
        heightareas = {}
        for space in level.spaces.all():
            buffered = space.geometry.buffer(0.01).union(unary_union(
                tuple(door.geometry for door in level.doors.all() if door.geometry.intersects(space.geometry))
            ).difference(walkable_spaces_geom))
            intersects = buildings_geom_prep.intersects(buffered)

            access_restriction = space.access_restriction_id
            if access_restriction is not None:
                access_restriction_affected.setdefault(access_restriction, []).append(space.geometry)

                if intersects:
                    restricted_spaces_indoors.setdefault(access_restriction, []).append(
                        buffered.intersection(buildings_geom)
                    )
                if not intersects or not buildings_geom_prep.contains(buffered):
                    restricted_spaces_outdoors.setdefault(access_restriction, []).append(
                        buffered.difference(buildings_geom)
                    )

            colors.setdefault(space.get_color_sorted(), {}).setdefault(access_restriction, []).append(space.geometry)

            for area in space.areas.all():
                access_restriction = area.access_restriction_id or space.access_restriction_id
                area.geometry = area.geometry.intersection(space.walkable_geom)
                if access_restriction is not None:
                    access_restriction_affected.setdefault(access_restriction, []).append(area.geometry)
                colors.setdefault(area.get_color_sorted(), {}).setdefault(access_restriction, []).append(area.geometry)

            for column in space.columns.all():
                access_restriction = column.access_restriction_id
                if access_restriction is None:
                    continue
                column.geometry = column.geometry.intersection(space.walkable_geom)
                buffered_column = column.geometry.buffer(0.01)
                if intersects:
                    restricted_spaces_indoors.setdefault(access_restriction, []).append(buffered_column)
                if not intersects or not buildings_geom_prep.contains(buffered):
                    restricted_spaces_outdoors.setdefault(access_restriction, []).append(buffered_column)
                access_restriction_affected.setdefault(access_restriction, []).append(column.geometry)

            for obstacle in sorted(space.obstacles.all(), key=lambda o: o.height+o.altitude):
                if not obstacle.height:
                    continue
                obstacles.setdefault(
                    int((obstacle.height+obstacle.altitude)*1000), {}
                ).setdefault(obstacle.color, []).append(
                    obstacle.geometry.intersection(space.walkable_geom)
                )

            for lineobstacle in space.lineobstacles.all():
                if not lineobstacle.height:
                    continue
                obstacles.setdefault(int(lineobstacle.height*1000), {}).setdefault(lineobstacle.color, []).append(
                    lineobstacle.buffered_geometry.intersection(space.walkable_geom)
                )

            geoms.ramps.extend(ramp.geometry for ramp in space.ramps.all())

            heightareas.setdefault(int((space.height or level.default_height)*1000), []).append(space.geometry)
        colors.pop(None, None)

        # merge ground colors
        for color, color_group in colors.items():
            for access_restriction, areas in tuple(color_group.items()):
                color_group[access_restriction] = unary_union(areas)

        colors = {color: geometry for color, geometry in sorted(colors.items(), key=lambda v: v[0][0])}

        # add altitudegroup geometries and split ground colors into them
        for altitudearea in level.altitudeareas.all():
            altitudearea_prep = prepared.prep(altitudearea.geometry)
            altitudearea_colors = {color: {access_restriction: area.intersection(altitudearea.geometry)
                                           for access_restriction, area in areas.items()
                                           if altitudearea_prep.intersects(area)}
                                   for color, areas in colors.items()}
            altitudearea_colors = {color: areas for color, areas in altitudearea_colors.items() if areas}

            altitudearea_obstacles = {}
            for height, height_obstacles in obstacles.items():
                new_height_obstacles = {}
                for color, color_obstacles in height_obstacles.items():
                    new_color_obstacles = []
                    for obstacle in color_obstacles:
                        if altitudearea_prep.intersects(obstacle):
                            new_color_obstacles.append(obstacle.intersection(altitudearea.geometry))
                    if new_color_obstacles:
                        new_height_obstacles[color] = new_color_obstacles
                if new_height_obstacles:
                    altitudearea_obstacles[height] = new_height_obstacles

            geoms.altitudeareas.append(AltitudeAreaGeometries(altitudearea,
                                                              altitudearea_colors,
                                                              altitudearea_obstacles))

        # merge height areas
        geoms.heightareas = tuple((unary_union(geoms), height)
                                  for height, geoms in sorted(heightareas.items(), key=operator.itemgetter(0)))

        # merge access restrictions
        geoms.access_restriction_affected = {access_restriction: unary_union(areas)
                                             for access_restriction, areas in access_restriction_affected.items()}
        geoms.restricted_spaces_indoors = {access_restriction: unary_union(spaces)
                                           for access_restriction, spaces in restricted_spaces_indoors.items()}
        geoms.restricted_spaces_outdoors = {access_restriction: unary_union(spaces)
                                            for access_restriction, spaces in restricted_spaces_outdoors.items()}

        AccessRestrictionAffected.build(geoms.access_restriction_affected).save_level(level.pk, 'base')

        geoms.walls = buildings_geom.difference(unary_union((spaces_geom, doors_geom)))

        # shorten walls if there are altitudeareas above
        remaining = geoms.walls
        for altitudearea in altitudeareas_above:
            intersection = altitudearea.geometry.intersection(remaining).buffer(0)
            if intersection.is_empty:
                continue
            remaining = remaining.difference(altitudearea.geometry)
            geoms.short_walls.append((altitudearea, intersection))
        geoms.all_walls = geoms.walls
        geoms.walls = geoms.walls.difference(
            unary_union(tuple(altitudearea.geometry for altitudearea in altitudeareas_above))
        )

        # general level infos
        geoms.pk = level.pk
        geoms.on_top_of_id = level.on_top_of_id
        geoms.short_label = level.short_label
        geoms.base_altitude = int(level.base_altitude * 1000)
        geoms.default_height = int(level.default_height * 1000)
        geoms.door_height = int(level.door_height * 1000)
        geoms.min_altitude = (min(area.altitude for area in geoms.altitudeareas)
                              if geoms.altitudeareas else geoms.base_altitude)
        geoms.max_altitude = (max(area.altitude for area in geoms.altitudeareas)
                              if geoms.altitudeareas else geoms.base_altitude)
        geoms.max_height = (min(height for area, height in geoms.heightareas)
                            if geoms.heightareas else geoms.default_height)
        geoms.lower_bound = geoms.min_altitude-700

        return geoms

    def get_geometries(self):
        # omit heightareas as these are never drawn
        return chain((area.geometry for area in self.altitudeareas), (self.walls, self.doors,),
                     self.restricted_spaces_indoors.values(), self.restricted_spaces_outdoors.values(), self.ramps,
                     (geom for altitude, geom in self.short_walls))

    def create_hybrid_geometries(self, face_centers):
        vertices_offset = self.vertices.shape[0]
        faces_offset = self.faces.shape[0]
        new_vertices = deque()
        new_faces = deque()
        for area in self.altitudeareas:
            area_vertices, area_faces = area.create_hybrid_geometries(face_centers, vertices_offset, faces_offset)
            vertices_offset += area_vertices.shape[0]
            faces_offset += area_faces.shape[0]
            new_vertices.append(area_vertices)
            new_faces.append(area_faces)
        if new_vertices:
            self.vertices = np.vstack((self.vertices, *new_vertices))
            self.faces = np.vstack((self.faces, *new_faces))

        self.heightareas = tuple((HybridGeometry.create(area, face_centers), height)
                                 for area, height in self.heightareas)
        self.walls = HybridGeometry.create(self.walls, face_centers)
        self.short_walls = tuple((altitudearea, HybridGeometry.create(geom, face_centers))
                                 for altitudearea, geom in self.short_walls)
        self.all_walls = HybridGeometry.create(self.all_walls, face_centers)
        self.doors = HybridGeometry.create(self.doors, face_centers)
        self.restricted_spaces_indoors = {key: HybridGeometry.create(geom, face_centers)
                                          for key, geom in self.restricted_spaces_indoors.items()}
        self.restricted_spaces_outdoors = {key: HybridGeometry.create(geom, face_centers)
                                           for key, geom in self.restricted_spaces_outdoors.items()}

    def _get_altitudearea_vertex_values(self, area, i_vertices):
        return area.get_altitudes(self.vertices[i_vertices])

    def _get_short_wall_vertex_values(self, item, i_vertices):
        return item[0].get_altitudes(self.vertices[i_vertices]) - int(0.7 * 1000)

    def _build_vertex_values(self, items, area_func, value_func):
        """
        Interpolate vertice with known altitudes to get altitudes for the remaining ones.
        """
        vertex_values = np.empty(self.vertices.shape[:1], dtype=np.int32)
        if not vertex_values.size:
            return vertex_values
        vertex_value_mask = np.full(self.vertices.shape[:1], fill_value=False, dtype=np.bool)

        for item in items:
            faces = area_func(item).faces
            if not faces:
                continue
            i_vertices = np.unique(self.faces[np.array(tuple(chain(*faces)))].flatten())
            vertex_values[i_vertices] = value_func(item, i_vertices)
            vertex_value_mask[i_vertices] = True

        if np.any(vertex_value_mask) and not np.all(vertex_value_mask):
            interpolate = NearestNDInterpolator(self.vertices[vertex_value_mask],
                                                vertex_values[vertex_value_mask])
            vertex_values[np.logical_not(vertex_value_mask)] = interpolate(
                *np.transpose(self.vertices[np.logical_not(vertex_value_mask)])
            )

        return vertex_values

    def _filter_faces(self, faces):
        """
        Filter faces so that no zero area faces remain.
        """
        return faces[np.all(np.any(faces[:, (0, 1, 2), :]-faces[:, (2, 0, 1), :], axis=2), axis=1)]

    def _create_polyhedron(self, faces, lower, upper, top=True, sides=True, bottom=True):
        """
        Callback function for HybridGeometry.create_polyhedron()
        """
        if not any(faces):
            return ()

        # collect rings/boundaries
        boundaries = deque()
        for subfaces in faces:
            if not subfaces:
                continue
            subfaces = self.faces[np.array(tuple(subfaces))]
            segments = subfaces[:, (0, 1, 1, 2, 2, 0)].reshape((-1, 2))
            edges = set(edge for edge, num in Counter(tuple(a) for a in np.sort(segments, axis=1)).items() if num == 1)
            new_edges = {}
            for a, b in segments:
                if (a, b) in edges or (b, a) in edges:
                    new_edges.setdefault(a, deque()).append(b)
            edges = new_edges
            double_points = set(a for a, bs in edges.items() if len(bs) > 1)
            while edges:
                new_ring = deque()
                if double_points:
                    start = double_points.pop()
                else:
                    start = next(iter(edges.keys()))
                last = edges[start].pop()
                if not edges[start]:
                    edges.pop(start)
                new_ring.append(start)
                while start != last:
                    new_ring.append(last)
                    double_points.discard(last)
                    new_last = edges[last].pop()
                    if not edges[last]:
                        edges.pop(last)
                    last = new_last
                new_ring = np.array(new_ring, dtype=np.uint32)
                boundaries.append(tuple(zip(chain((new_ring[-1], ), new_ring), new_ring)))
        boundaries = np.vstack(boundaries)

        geom_faces = self.faces[np.array(tuple(chain(*faces)))]

        if not isinstance(upper, np.ndarray):
            upper = np.full(self.vertices.shape[0], fill_value=upper, dtype=np.int32)
        else:
            upper = upper.flatten()

        if not isinstance(lower, np.ndarray):
            lower = np.full(self.vertices.shape[0], fill_value=lower, dtype=np.int32)
        else:
            lower = lower.flatten()

        # lower should always be lower or equal than upper
        lower = np.minimum(upper, lower)

        # remove faces that have identical upper and lower coordinates
        geom_faces = geom_faces[(upper[geom_faces]-lower[geom_faces]).any(axis=1)]

        # top faces
        if top:
            top = self._filter_faces(np.dstack((self.vertices[geom_faces], upper[geom_faces])))
        else:
            top = Mesh.empty_faces

        # side faces
        if sides:
            sides = self._filter_faces(np.vstack((
                # upper
                np.dstack((self.vertices[boundaries[:, (1, 0, 0)]],
                           np.hstack((upper[boundaries[:, (1, 0)]], lower[boundaries[:, (0,)]])))),
                # lower
                np.dstack((self.vertices[boundaries[:, (0, 1, 1)]],
                           np.hstack((lower[boundaries[:, (0, 1)]], upper[boundaries[:, (1,)]]))))
            )))
        else:
            sides = Mesh.empty_faces

        # bottom faces
        if bottom:
            bottom = self._filter_faces(
                np.flip(np.dstack((self.vertices[geom_faces], lower[geom_faces])), axis=1)
            )
        else:
            bottom = Mesh.empty_faces

        return tuple((Mesh(top, sides, bottom),))

    def build_mesh(self, interpolator=None):
        """
        Build the entire mesh
        """

        # first we triangulate most polygons in one go
        rings = tuple(chain(*(get_rings(geom) for geom in self.get_geometries())))
        self.vertices, self.faces = triangulate_rings(rings)
        self.create_hybrid_geometries(face_centers=self.vertices[self.faces].sum(axis=1) / 3000)

        # calculate altitudes
        vertex_altitudes = self._build_vertex_values(reversed(self.altitudeareas),
                                                     area_func=operator.attrgetter('geometry'),
                                                     value_func=self._get_altitudearea_vertex_values)
        vertex_heights = self._build_vertex_values(self.heightareas,
                                                   area_func=operator.itemgetter(0),
                                                   value_func=lambda a, i: a[1])
        vertex_wall_heights = vertex_altitudes + vertex_heights

        # remove altitude area faces inside walls
        for area in self.altitudeareas:
            area.remove_faces(reduce(operator.or_, self.walls.faces, set()))

        # create polyhedrons
        # we build the walls to often so we can extend them to create leveled 3d model bases.
        self.walls_base = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_bottom = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_extended = HybridGeometry(self.walls.geom, self.walls.faces)
        self.walls.build_polyhedron(self._create_polyhedron,
                                    lower=vertex_altitudes - int(0.7 * 1000),
                                    upper=vertex_wall_heights)

        for altitudearea, geom in self.short_walls:
            geom.build_polyhedron(self._create_polyhedron,
                                  lower=vertex_altitudes - int(0.7 * 1000),
                                  upper=self._build_vertex_values([(altitudearea, geom)],
                                                                  area_func=operator.itemgetter(1),
                                                                  value_func=self._get_short_wall_vertex_values))
        self.short_walls = tuple(geom for altitude, geom in self.short_walls)

        # make sure we are able to crop spaces when a access restriction is apply
        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.crop_ids = frozenset(('in:%s' % key, ))
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.crop_ids = frozenset(('out:%s' % key, ))
        crops = tuple((crop, prepared.prep(crop.geom)) for crop in chain(self.restricted_spaces_indoors.values(),
                                                                         self.restricted_spaces_outdoors.values()))

        self.doors_extended = HybridGeometry(self.doors.geom, self.doors.faces)
        self.doors.build_polyhedron(self._create_polyhedron,
                                    crops=crops,
                                    lower=vertex_altitudes + self.door_height,
                                    upper=vertex_wall_heights - 1)

        if interpolator is not None:
            upper = interpolator(*np.transpose(self.vertices)).astype(np.int32) - int(0.7 * 1000)
            self.walls_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights,
                                                 upper=upper,
                                                 bottom=False)
            self.doors_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights - 1,
                                                 upper=upper,
                                                 bottom=False)
        else:
            self.walls_extended = None
            self.doors_extended = None

        for area in self.altitudeareas:
            area.create_polyhedrons(self._create_polyhedron,
                                    area.get_altitudes(self.vertices),
                                    min_altitude=self.min_altitude,
                                    crops=crops)

        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.build_polyhedron(self._create_polyhedron,
                                      lower=vertex_altitudes,
                                      upper=vertex_wall_heights,
                                      bottom=False)
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.faces = ()  # todo: understand this

        self.walls_base.build_polyhedron(self._create_polyhedron,
                                         lower=self.min_altitude - int(0.7 * 1000),
                                         upper=vertex_altitudes - int(0.7 * 1000),
                                         top=False, bottom=False)
        self.walls_bottom.build_polyhedron(self._create_polyhedron, lower=0, upper=1, top=False)

        # unset heightareas, they are no loinger needed
        self.all_walls = None
        self.ramps = None
        # self.heightareas = None
        self.vertices = None
        self.faces = None
Beispiel #11
0
class AltitudeAreaGeometries:
    def __init__(self, altitudearea=None, colors=None, obstacles=None):
        if altitudearea is not None:
            self.geometry = altitudearea.geometry
            self.altitude = int(altitudearea.altitude * 1000)
            self.altitude2 = None if altitudearea.altitude2 is None else int(
                altitudearea.altitude2 * 1000)
            self.point1 = altitudearea.point1
            self.point2 = altitudearea.point2
        else:
            self.geometry = None
            self.altitude = None
            self.altitude2 = None
            self.point1 = None
            self.point2 = None
        self.base = None
        self.bottom = None
        self.colors = colors
        self.obstacles = obstacles

    def get_altitudes(self, points):
        # noinspection PyCallByClass,PyTypeChecker
        return AltitudeArea.get_altitudes(self, points / 1000).astype(np.int32)

    def create_hybrid_geometries(self, face_centers, vertices_offset,
                                 faces_offset):
        self.geometry = HybridGeometry.create(self.geometry, face_centers)

        vertices = deque()
        faces = deque()

        for color, areas in self.colors.items():
            for height in tuple(areas.keys()):
                faces_offset, vertices_offset = self._call_create_full(
                    areas, height, faces, vertices, faces_offset,
                    vertices_offset)

        for height_obstacles in self.obstacles.values():
            for color_obstacles in height_obstacles.values():
                for i in range(len(color_obstacles)):
                    faces_offset, vertices_offset = self._call_create_full(
                        color_obstacles, i, faces, vertices, faces_offset,
                        vertices_offset)

        if not vertices:
            return np.empty((0, 2), dtype=np.int32), np.empty((0, 3),
                                                              dtype=np.uint32)
        return np.vstack(vertices), np.vstack(faces)

    def _call_create_full(self, mapping, key, faces, vertices, faces_offset,
                          vertices_offset):
        geom = mapping[key]
        new_geom, new_vertices, new_faces = HybridGeometry.create_full(
            geom, vertices_offset, faces_offset)
        mapping[key] = new_geom
        vertices_offset += new_vertices.shape[0]
        faces_offset += new_faces.shape[0]
        vertices.append(new_vertices)
        faces.append(new_faces)
        return faces_offset, vertices_offset

    def remove_faces(self, faces):
        self.geometry.remove_faces(faces)
        for areas in self.colors.values():
            for area in areas.values():
                area.remove_faces(faces)

    def create_polyhedrons(self, create_polyhedron, altitudes, min_altitude,
                           crops):
        if self.altitude2 is None:
            altitudes = self.altitude

        self.base = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.bottom = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.geometry.build_polyhedron(create_polyhedron,
                                       lower=altitudes - int(0.7 * 1000),
                                       upper=altitudes,
                                       crops=crops)
        self.base.build_polyhedron(create_polyhedron,
                                   lower=min_altitude - int(0.7 * 1000),
                                   upper=altitudes - int(0.7 * 1000),
                                   crops=crops,
                                   top=False,
                                   bottom=False)
        self.bottom.build_polyhedron(create_polyhedron,
                                     lower=0,
                                     upper=1,
                                     crops=crops,
                                     top=False)

        for geometry in chain(*(areas.values()
                                for areas in self.colors.values())):
            geometry.build_polyhedron(create_polyhedron,
                                      lower=altitudes,
                                      upper=altitudes + int(0.001 * 1000),
                                      crops=crops)
        # todo: treat altitude properly
        for height, height_geometries in self.obstacles.items():
            for color, color_geometries in height_geometries.items():
                for geometry in color_geometries:
                    geometry.build_polyhedron(create_polyhedron,
                                              lower=altitudes,
                                              upper=altitudes + height,
                                              crops=crops)
Beispiel #12
0
class AltitudeAreaGeometries:
    def __init__(self, altitudearea=None, colors=None, obstacles=None):
        if altitudearea is not None:
            self.geometry = altitudearea.geometry
            self.altitude = int(altitudearea.altitude * 1000)
            self.altitude2 = None if altitudearea.altitude2 is None else int(altitudearea.altitude2 * 1000)
            self.point1 = altitudearea.point1
            self.point2 = altitudearea.point2
        else:
            self.geometry = None
            self.altitude = None
            self.altitude2 = None
            self.point1 = None
            self.point2 = None
        self.base = None
        self.bottom = None
        self.colors = colors
        self.obstacles = obstacles

    def get_altitudes(self, points):
        # noinspection PyCallByClass,PyTypeChecker
        return AltitudeArea.get_altitudes(self, points/1000).astype(np.int32)

    def create_hybrid_geometries(self, face_centers, vertices_offset, faces_offset):
        self.geometry = HybridGeometry.create(self.geometry, face_centers)

        vertices = deque()
        faces = deque()

        for color, areas in self.colors.items():
            for key in tuple(areas.keys()):
                faces_offset, vertices_offset = self._call_create_full(areas, key, faces, vertices,
                                                                       faces_offset, vertices_offset)

        for key in tuple(self.obstacles.keys()):
            height_obstacles = list(self.obstacles[key])
            for i in range(len(height_obstacles)):
                faces_offset, vertices_offset = self._call_create_full(height_obstacles, i, faces, vertices,
                                                                       faces_offset, vertices_offset)
            self.obstacles[key] = tuple(height_obstacles)

        if not vertices:
            return np.empty((0, 2), dtype=np.int32), np.empty((0, 3), dtype=np.uint32)
        return np.vstack(vertices), np.vstack(faces)

    def _call_create_full(self, mapping, key, faces, vertices, faces_offset, vertices_offset):
        geom = mapping[key]
        new_geom, new_vertices, new_faces = HybridGeometry.create_full(geom, vertices_offset, faces_offset)
        mapping[key] = new_geom
        vertices_offset += new_vertices.shape[0]
        faces_offset += new_faces.shape[0]
        vertices.append(new_vertices)
        faces.append(new_faces)
        return faces_offset, vertices_offset

    def remove_faces(self, faces):
        self.geometry.remove_faces(faces)
        for areas in self.colors.values():
            for area in areas.values():
                area.remove_faces(faces)

    def create_polyhedrons(self, create_polyhedron, altitudes, min_altitude, crops):
        if self.altitude2 is None:
            altitudes = self.altitude

        self.base = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.bottom = HybridGeometry(self.geometry.geom, self.geometry.faces)
        self.geometry.build_polyhedron(create_polyhedron,
                                       lower=altitudes - int(0.7 * 1000),
                                       upper=altitudes,
                                       crops=crops)
        self.base.build_polyhedron(create_polyhedron,
                                   lower=min_altitude - int(0.7 * 1000),
                                   upper=altitudes - int(0.7 * 1000),
                                   crops=crops,
                                   top=False, bottom=False)
        self.bottom.build_polyhedron(create_polyhedron,
                                     lower=0, upper=1,
                                     crops=crops,
                                     top=False)

        for geometry in chain(*(areas.values() for areas in self.colors.values())):
            geometry.build_polyhedron(create_polyhedron,
                                      lower=altitudes,
                                      upper=altitudes + int(0.001 * 1000),
                                      crops=crops)
        for height, height_geometries in self.obstacles.items():
            for geometry in height_geometries:
                geometry.build_polyhedron(create_polyhedron,
                                          lower=altitudes,
                                          upper=altitudes + height,
                                          crops=crops)
Beispiel #13
0
    def build_mesh(self, interpolator=None):
        """
        Build the entire mesh
        """

        # first we triangulate most polygons in one go
        rings = tuple(chain(*(get_rings(geom) for geom in self.get_geometries())))
        self.vertices, self.faces = triangulate_rings(rings)
        self.create_hybrid_geometries(face_centers=self.vertices[self.faces].sum(axis=1) / 3000)

        # calculate altitudes
        vertex_altitudes = self._build_vertex_values(reversed(self.altitudeareas),
                                                     area_func=operator.attrgetter('geometry'),
                                                     value_func=self._get_altitudearea_vertex_values)
        vertex_heights = self._build_vertex_values(self.heightareas,
                                                   area_func=operator.itemgetter(0),
                                                   value_func=lambda a, i: a[1])
        vertex_wall_heights = vertex_altitudes + vertex_heights

        # remove altitude area faces inside walls
        for area in self.altitudeareas:
            area.remove_faces(reduce(operator.or_, self.walls.faces, set()))

        # create polyhedrons
        # we build the walls to often so we can extend them to create leveled 3d model bases.
        self.walls_base = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_bottom = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_extended = HybridGeometry(self.walls.geom, self.walls.faces)
        self.walls.build_polyhedron(self._create_polyhedron,
                                    lower=vertex_altitudes - int(0.7 * 1000),
                                    upper=vertex_wall_heights)

        for altitudearea, geom in self.short_walls:
            geom.build_polyhedron(self._create_polyhedron,
                                  lower=vertex_altitudes - int(0.7 * 1000),
                                  upper=self._build_vertex_values([(altitudearea, geom)],
                                                                  area_func=operator.itemgetter(1),
                                                                  value_func=self._get_short_wall_vertex_values))
        self.short_walls = tuple(geom for altitude, geom in self.short_walls)

        # make sure we are able to crop spaces when a access restriction is apply
        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.crop_ids = frozenset(('in:%s' % key, ))
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.crop_ids = frozenset(('out:%s' % key, ))
        crops = tuple((crop, prepared.prep(crop.geom)) for crop in chain(self.restricted_spaces_indoors.values(),
                                                                         self.restricted_spaces_outdoors.values()))

        self.doors_extended = HybridGeometry(self.doors.geom, self.doors.faces)
        self.doors.build_polyhedron(self._create_polyhedron,
                                    crops=crops,
                                    lower=vertex_altitudes + self.door_height,
                                    upper=vertex_wall_heights - 1)

        if interpolator is not None:
            upper = interpolator(*np.transpose(self.vertices)).astype(np.int32) - int(0.7 * 1000)
            self.walls_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights,
                                                 upper=upper,
                                                 bottom=False)
            self.doors_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights - 1,
                                                 upper=upper,
                                                 bottom=False)
        else:
            self.walls_extended = None
            self.doors_extended = None

        for area in self.altitudeareas:
            area.create_polyhedrons(self._create_polyhedron,
                                    area.get_altitudes(self.vertices),
                                    min_altitude=self.min_altitude,
                                    crops=crops)

        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.build_polyhedron(self._create_polyhedron,
                                      lower=vertex_altitudes,
                                      upper=vertex_wall_heights,
                                      bottom=False)
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.faces = ()  # todo: understand this

        self.walls_base.build_polyhedron(self._create_polyhedron,
                                         lower=self.min_altitude - int(0.7 * 1000),
                                         upper=vertex_altitudes - int(0.7 * 1000),
                                         top=False, bottom=False)
        self.walls_bottom.build_polyhedron(self._create_polyhedron, lower=0, upper=1, top=False)

        # unset heightareas, they are no loinger needed
        self.all_walls = None
        self.ramps = None
        # self.heightareas = None
        self.vertices = None
        self.faces = None
Beispiel #14
0
class LevelGeometries:
    """
    Store geometries for a Level.
    """
    def __init__(self):
        self.buildings = None
        self.altitudeareas = []
        self.heightareas = []
        self.walls = None
        self.walls_extended = None
        self.all_walls = None
        self.short_walls = []
        self.doors = None
        self.doors_extended = None
        self.holes = None
        self.access_restriction_affected = None
        self.restricted_spaces_indoors = None
        self.restricted_spaces_outdoors = None
        self.affected_area = None
        self.ramps = []

        self.vertices = None
        self.faces = None

        self.walls_base = None
        self.walls_bottom = None

        self.pk = None
        self.on_top_of_id = None
        self.short_label = None
        self.base_altitude = None
        self.default_height = None
        self.door_height = None
        self.min_altitude = None
        self.max_altitude = None
        self.max_height = None

        self.lower_bound = None
        self.upper_bound = None

    def __repr__(self):
        return '<LevelGeometries for Level %s (#%d)>' % (self.short_label, self.pk)

    @classmethod
    def build_for_level(cls, level, altitudeareas_above):
        geoms = LevelGeometries()
        buildings_geom = unary_union([b.geometry for b in level.buildings.all()])
        geoms.buildings = buildings_geom
        buildings_geom_prep = prepared.prep(buildings_geom)

        # remove columns and holes from space areas
        for space in level.spaces.all():
            subtract = []
            if space.outside:
                subtract.append(buildings_geom)
            columns = [c.geometry for c in space.columns.all() if c.access_restriction_id is None]
            if columns:
                subtract.extend(columns)
            if subtract:
                space.geometry = space.geometry.difference(unary_union(subtract))

            holes = tuple(h.geometry for h in space.holes.all())
            if holes:
                space.holes_geom = unary_union([h.geometry for h in space.holes.all()])
                space.walkable_geom = space.geometry.difference(space.holes_geom)
                space.holes_geom = space.geometry.intersection(space.holes_geom)
            else:
                space.holes_geom = empty_geometry_collection
                space.walkable_geom = space.geometry

        spaces_geom = unary_union([s.geometry for s in level.spaces.all()])
        doors_geom = unary_union([d.geometry for d in level.doors.all()])
        doors_geom = doors_geom.intersection(buildings_geom)
        walkable_spaces_geom = unary_union([s.walkable_geom for s in level.spaces.all()])
        geoms.doors = doors_geom.difference(walkable_spaces_geom)
        if level.on_top_of_id is None:
            geoms.holes = unary_union([s.holes_geom for s in level.spaces.all()])

        # keep track which areas are affected by access restrictions
        access_restriction_affected = {}

        # keep track wich spaces to hide
        restricted_spaces_indoors = {}
        restricted_spaces_outdoors = {}

        # go through spaces and their areas for access control, ground colors, height areas and obstacles
        colors = {}
        obstacles = {}
        heightareas = {}
        for space in level.spaces.all():
            buffered = space.geometry.buffer(0.01).union(unary_union(
                tuple(door.geometry for door in level.doors.all() if door.geometry.intersects(space.geometry))
            ).difference(walkable_spaces_geom))
            intersects = buildings_geom_prep.intersects(buffered)

            access_restriction = space.access_restriction_id
            if access_restriction is not None:
                access_restriction_affected.setdefault(access_restriction, []).append(space.geometry)

                if intersects:
                    restricted_spaces_indoors.setdefault(access_restriction, []).append(
                        buffered.intersection(buildings_geom)
                    )
                if not intersects or not buildings_geom_prep.contains(buffered):
                    restricted_spaces_outdoors.setdefault(access_restriction, []).append(
                        buffered.difference(buildings_geom)
                    )

            colors.setdefault(space.get_color_sorted(), {}).setdefault(access_restriction, []).append(space.geometry)

            for area in space.areas.all():
                access_restriction = area.access_restriction_id or space.access_restriction_id
                area.geometry = area.geometry.intersection(space.walkable_geom)
                if access_restriction is not None:
                    access_restriction_affected.setdefault(access_restriction, []).append(area.geometry)
                colors.setdefault(area.get_color_sorted(), {}).setdefault(access_restriction, []).append(area.geometry)

            for column in space.columns.all():
                access_restriction = column.access_restriction_id
                if access_restriction is None:
                    continue
                column.geometry = column.geometry.intersection(space.walkable_geom)
                buffered_column = column.geometry.buffer(0.01)
                if intersects:
                    restricted_spaces_indoors.setdefault(access_restriction, []).append(buffered_column)
                if not intersects or not buildings_geom_prep.contains(buffered):
                    restricted_spaces_outdoors.setdefault(access_restriction, []).append(buffered_column)
                access_restriction_affected.setdefault(access_restriction, []).append(column.geometry)

            for obstacle in space.obstacles.all():
                if not obstacle.height:
                    continue
                obstacles.setdefault(int(obstacle.height*1000), []).append(
                    obstacle.geometry.intersection(space.walkable_geom)
                )

            for lineobstacle in space.lineobstacles.all():
                if not lineobstacle.height:
                    continue
                obstacles.setdefault(int(lineobstacle.height*1000), []).append(
                    lineobstacle.buffered_geometry.intersection(space.walkable_geom)
                )

            geoms.ramps.extend(ramp.geometry for ramp in space.ramps.all())

            heightareas.setdefault(int((space.height or level.default_height)*1000), []).append(space.geometry)
        colors.pop(None, None)

        # merge ground colors
        for color, color_group in colors.items():
            for access_restriction, areas in tuple(color_group.items()):
                color_group[access_restriction] = unary_union(areas)

        colors = {color: geometry for color, geometry in sorted(colors.items(), key=lambda v: v[0][0])}

        # add altitudegroup geometries and split ground colors into them
        for altitudearea in level.altitudeareas.all():
            altitudearea_prep = prepared.prep(altitudearea.geometry)
            altitudearea_colors = {color: {access_restriction: area.intersection(altitudearea.geometry)
                                           for access_restriction, area in areas.items()
                                           if altitudearea_prep.intersects(area)}
                                   for color, areas in colors.items()}
            altitudearea_colors = {color: areas for color, areas in altitudearea_colors.items() if areas}

            altitudearea_obstacles = {height: tuple(obstacle.intersection(altitudearea.geometry)
                                                    for obstacle in height_obstacles
                                                    if altitudearea_prep.intersects(obstacle))
                                      for height, height_obstacles in obstacles.items()}
            altitudearea_obstacles = {height: height_obstacles
                                      for height, height_obstacles in obstacles.items()
                                      if height_obstacles}
            geoms.altitudeareas.append(AltitudeAreaGeometries(altitudearea,
                                                              altitudearea_colors,
                                                              altitudearea_obstacles))

        # merge height areas
        geoms.heightareas = tuple((unary_union(geoms), height)
                                  for height, geoms in sorted(heightareas.items(), key=operator.itemgetter(0)))

        # merge access restrictions
        geoms.access_restriction_affected = {access_restriction: unary_union(areas)
                                             for access_restriction, areas in access_restriction_affected.items()}
        geoms.restricted_spaces_indoors = {access_restriction: unary_union(spaces)
                                           for access_restriction, spaces in restricted_spaces_indoors.items()}
        geoms.restricted_spaces_outdoors = {access_restriction: unary_union(spaces)
                                            for access_restriction, spaces in restricted_spaces_outdoors.items()}

        AccessRestrictionAffected.build(geoms.access_restriction_affected).save_level(level.pk, 'base')

        geoms.walls = buildings_geom.difference(unary_union((spaces_geom, doors_geom)))

        # shorten walls if there are altitudeareas above
        remaining = geoms.walls
        for altitudearea in altitudeareas_above:
            intersection = altitudearea.geometry.intersection(remaining).buffer(0)
            if intersection.is_empty:
                continue
            remaining = remaining.difference(altitudearea.geometry)
            geoms.short_walls.append((altitudearea, intersection))
        geoms.all_walls = geoms.walls
        geoms.walls = geoms.walls.difference(
            unary_union(tuple(altitudearea.geometry for altitudearea in altitudeareas_above))
        )

        # general level infos
        geoms.pk = level.pk
        geoms.on_top_of_id = level.on_top_of_id
        geoms.short_label = level.short_label
        geoms.base_altitude = int(level.base_altitude * 1000)
        geoms.default_height = int(level.default_height * 1000)
        geoms.door_height = int(level.door_height * 1000)
        geoms.min_altitude = (min(area.altitude for area in geoms.altitudeareas)
                              if geoms.altitudeareas else geoms.base_altitude)
        geoms.max_altitude = (max(area.altitude for area in geoms.altitudeareas)
                              if geoms.altitudeareas else geoms.base_altitude)
        geoms.max_height = (min(height for area, height in geoms.heightareas)
                            if geoms.heightareas else geoms.default_height)
        geoms.lower_bound = geoms.min_altitude-700

        return geoms

    def get_geometries(self):
        # omit heightareas as these are never drawn
        return chain((area.geometry for area in self.altitudeareas), (self.walls, self.doors,),
                     self.restricted_spaces_indoors.values(), self.restricted_spaces_outdoors.values(), self.ramps,
                     (geom for altitude, geom in self.short_walls))

    def create_hybrid_geometries(self, face_centers):
        vertices_offset = self.vertices.shape[0]
        faces_offset = self.faces.shape[0]
        new_vertices = deque()
        new_faces = deque()
        for area in self.altitudeareas:
            area_vertices, area_faces = area.create_hybrid_geometries(face_centers, vertices_offset, faces_offset)
            vertices_offset += area_vertices.shape[0]
            faces_offset += area_faces.shape[0]
            new_vertices.append(area_vertices)
            new_faces.append(area_faces)
        if new_vertices:
            self.vertices = np.vstack((self.vertices, *new_vertices))
            self.faces = np.vstack((self.faces, *new_faces))

        self.heightareas = tuple((HybridGeometry.create(area, face_centers), height)
                                 for area, height in self.heightareas)
        self.walls = HybridGeometry.create(self.walls, face_centers)
        self.short_walls = tuple((altitudearea, HybridGeometry.create(geom, face_centers))
                                 for altitudearea, geom in self.short_walls)
        self.all_walls = HybridGeometry.create(self.all_walls, face_centers)
        self.doors = HybridGeometry.create(self.doors, face_centers)
        self.restricted_spaces_indoors = {key: HybridGeometry.create(geom, face_centers)
                                          for key, geom in self.restricted_spaces_indoors.items()}
        self.restricted_spaces_outdoors = {key: HybridGeometry.create(geom, face_centers)
                                           for key, geom in self.restricted_spaces_outdoors.items()}

    def _get_altitudearea_vertex_values(self, area, i_vertices):
        return area.get_altitudes(self.vertices[i_vertices])

    def _get_short_wall_vertex_values(self, item, i_vertices):
        return item[0].get_altitudes(self.vertices[i_vertices]) - int(0.7 * 1000)

    def _build_vertex_values(self, items, area_func, value_func):
        """
        Interpolate vertice with known altitudes to get altitudes for the remaining ones.
        """
        vertex_values = np.empty(self.vertices.shape[:1], dtype=np.int32)
        if not vertex_values.size:
            return vertex_values
        vertex_value_mask = np.full(self.vertices.shape[:1], fill_value=False, dtype=np.bool)

        for item in items:
            faces = area_func(item).faces
            if not faces:
                continue
            i_vertices = np.unique(self.faces[np.array(tuple(chain(*faces)))].flatten())
            vertex_values[i_vertices] = value_func(item, i_vertices)
            vertex_value_mask[i_vertices] = True

        if np.any(vertex_value_mask) and not np.all(vertex_value_mask):
            interpolate = NearestNDInterpolator(self.vertices[vertex_value_mask],
                                                vertex_values[vertex_value_mask])
            vertex_values[np.logical_not(vertex_value_mask)] = interpolate(
                *np.transpose(self.vertices[np.logical_not(vertex_value_mask)])
            )

        return vertex_values

    def _filter_faces(self, faces):
        """
        Filter faces so that no zero area faces remain.
        """
        return faces[np.all(np.any(faces[:, (0, 1, 2), :]-faces[:, (2, 0, 1), :], axis=2), axis=1)]

    def _create_polyhedron(self, faces, lower, upper, top=True, sides=True, bottom=True):
        """
        Callback function for HybridGeometry.create_polyhedron()
        """
        if not any(faces):
            return ()

        # collect rings/boundaries
        boundaries = deque()
        for subfaces in faces:
            if not subfaces:
                continue
            subfaces = self.faces[np.array(tuple(subfaces))]
            segments = subfaces[:, (0, 1, 1, 2, 2, 0)].reshape((-1, 2))
            edges = set(edge for edge, num in Counter(tuple(a) for a in np.sort(segments, axis=1)).items() if num == 1)
            new_edges = {}
            for a, b in segments:
                if (a, b) in edges or (b, a) in edges:
                    new_edges.setdefault(a, deque()).append(b)
            edges = new_edges
            double_points = set(a for a, bs in edges.items() if len(bs) > 1)
            while edges:
                new_ring = deque()
                if double_points:
                    start = double_points.pop()
                else:
                    start = next(iter(edges.keys()))
                last = edges[start].pop()
                if not edges[start]:
                    edges.pop(start)
                new_ring.append(start)
                while start != last:
                    new_ring.append(last)
                    double_points.discard(last)
                    new_last = edges[last].pop()
                    if not edges[last]:
                        edges.pop(last)
                    last = new_last
                new_ring = np.array(new_ring, dtype=np.uint32)
                boundaries.append(tuple(zip(chain((new_ring[-1], ), new_ring), new_ring)))
        boundaries = np.vstack(boundaries)

        geom_faces = self.faces[np.array(tuple(chain(*faces)))]

        if not isinstance(upper, np.ndarray):
            upper = np.full(self.vertices.shape[0], fill_value=upper, dtype=np.int32)
        else:
            upper = upper.flatten()

        if not isinstance(lower, np.ndarray):
            lower = np.full(self.vertices.shape[0], fill_value=lower, dtype=np.int32)
        else:
            lower = lower.flatten()

        # lower should always be lower or equal than upper
        lower = np.minimum(upper, lower)

        # remove faces that have identical upper and lower coordinates
        geom_faces = geom_faces[(upper[geom_faces]-lower[geom_faces]).any(axis=1)]

        # top faces
        if top:
            top = self._filter_faces(np.dstack((self.vertices[geom_faces], upper[geom_faces])))
        else:
            top = Mesh.empty_faces

        # side faces
        if sides:
            sides = self._filter_faces(np.vstack((
                # upper
                np.dstack((self.vertices[boundaries[:, (1, 0, 0)]],
                           np.hstack((upper[boundaries[:, (1, 0)]], lower[boundaries[:, (0,)]])))),
                # lower
                np.dstack((self.vertices[boundaries[:, (0, 1, 1)]],
                           np.hstack((lower[boundaries[:, (0, 1)]], upper[boundaries[:, (1,)]]))))
            )))
        else:
            sides = Mesh.empty_faces

        # bottom faces
        if bottom:
            bottom = self._filter_faces(
                np.flip(np.dstack((self.vertices[geom_faces], lower[geom_faces])), axis=1)
            )
        else:
            bottom = Mesh.empty_faces

        return tuple((Mesh(top, sides, bottom),))

    def build_mesh(self, interpolator=None):
        """
        Build the entire mesh
        """

        # first we triangulate most polygons in one go
        rings = tuple(chain(*(get_rings(geom) for geom in self.get_geometries())))
        self.vertices, self.faces = triangulate_rings(rings)
        self.create_hybrid_geometries(face_centers=self.vertices[self.faces].sum(axis=1) / 3000)

        # calculate altitudes
        vertex_altitudes = self._build_vertex_values(reversed(self.altitudeareas),
                                                     area_func=operator.attrgetter('geometry'),
                                                     value_func=self._get_altitudearea_vertex_values)
        vertex_heights = self._build_vertex_values(self.heightareas,
                                                   area_func=operator.itemgetter(0),
                                                   value_func=lambda a, i: a[1])
        vertex_wall_heights = vertex_altitudes + vertex_heights

        # remove altitude area faces inside walls
        for area in self.altitudeareas:
            area.remove_faces(reduce(operator.or_, self.walls.faces, set()))

        # create polyhedrons
        # we build the walls to often so we can extend them to create leveled 3d model bases.
        self.walls_base = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_bottom = HybridGeometry(self.all_walls.geom, self.all_walls.faces)
        self.walls_extended = HybridGeometry(self.walls.geom, self.walls.faces)
        self.walls.build_polyhedron(self._create_polyhedron,
                                    lower=vertex_altitudes - int(0.7 * 1000),
                                    upper=vertex_wall_heights)

        for altitudearea, geom in self.short_walls:
            geom.build_polyhedron(self._create_polyhedron,
                                  lower=vertex_altitudes - int(0.7 * 1000),
                                  upper=self._build_vertex_values([(altitudearea, geom)],
                                                                  area_func=operator.itemgetter(1),
                                                                  value_func=self._get_short_wall_vertex_values))
        self.short_walls = tuple(geom for altitude, geom in self.short_walls)

        # make sure we are able to crop spaces when a access restriction is apply
        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.crop_ids = frozenset(('in:%s' % key, ))
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.crop_ids = frozenset(('out:%s' % key, ))
        crops = tuple((crop, prepared.prep(crop.geom)) for crop in chain(self.restricted_spaces_indoors.values(),
                                                                         self.restricted_spaces_outdoors.values()))

        self.doors_extended = HybridGeometry(self.doors.geom, self.doors.faces)
        self.doors.build_polyhedron(self._create_polyhedron,
                                    crops=crops,
                                    lower=vertex_altitudes + self.door_height,
                                    upper=vertex_wall_heights - 1)

        if interpolator is not None:
            upper = interpolator(*np.transpose(self.vertices)).astype(np.int32) - int(0.7 * 1000)
            self.walls_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights,
                                                 upper=upper,
                                                 bottom=False)
            self.doors_extended.build_polyhedron(self._create_polyhedron,
                                                 lower=vertex_wall_heights - 1,
                                                 upper=upper,
                                                 bottom=False)
        else:
            self.walls_extended = None
            self.doors_extended = None

        for area in self.altitudeareas:
            area.create_polyhedrons(self._create_polyhedron,
                                    area.get_altitudes(self.vertices),
                                    min_altitude=self.min_altitude,
                                    crops=crops)

        for key, geometry in self.restricted_spaces_indoors.items():
            geometry.build_polyhedron(self._create_polyhedron,
                                      lower=vertex_altitudes,
                                      upper=vertex_wall_heights,
                                      bottom=False)
        for key, geometry in self.restricted_spaces_outdoors.items():
            geometry.faces = ()  # todo: understand this

        self.walls_base.build_polyhedron(self._create_polyhedron,
                                         lower=self.min_altitude - int(0.7 * 1000),
                                         upper=vertex_altitudes - int(0.7 * 1000),
                                         top=False, bottom=False)
        self.walls_bottom.build_polyhedron(self._create_polyhedron, lower=0, upper=1, top=False)

        # unset heightareas, they are no loinger needed
        self.all_walls = None
        self.ramps = None
        # self.heightareas = None
        self.vertices = None
        self.faces = None