def test_point_from_projections(self):
"""Test: point from projections"""
P = gp_Pnt(7.0, 8.0, 9.0)
radius = 5
SP = Geom_SphericalSurface(gp_Ax3(gp_XOY()), radius)
PPS = GeomAPI_ProjectPointOnSurf(P, SP)
N = PPS.NearestPoint()
self.assertTrue(isinstance(N, gp_Pnt))
NbResults = PPS.NbPoints()
if NbResults > 0:
for i in range(1, NbResults + 1):
Q = PPS.Point(i)
self.assertTrue(isinstance(Q, gp_Pnt))
distance = PPS.Distance(i)
# in any case, it should be > 1
self.assertGreater(distance, 1.0)
lower_d = PPS.LowerDistance()
self.assertGreater(lower_d, 1.0)
if NbResults > 0:
for i in range(1, NbResults + 1):
Q = PPS.Point(i)
distance = PPS.Distance(i)
pstring = "Q" + repr(i) + ": at Distance :" + repr(
PPS.Distance(i))
print(pstring)
def project_vertex(self, pnt, tol=TOLERANCE):
'''projects self with a point, curve, edge, face, solid
method wraps dealing with the various topologies
if other is a point:
returns uv, point
'''
if isinstance(pnt, TopoDS_Vertex):
pnt = BRep_Tool.Pnt(pnt)
proj = GeomAPI_ProjectPointOnSurf(pnt, self.surface_handle, tol)
uv = proj.LowerDistanceParameters()
proj_pnt = proj.NearestPoint()
return uv, proj_pnt
def test_point_from_projections(self):
'''Test: point from projections'''
P = gp_Pnt(7., 8., 9.)
radius = 5
SP = Geom_SphericalSurface(gp_Ax3(gp_XOY()), radius)
PPS = GeomAPI_ProjectPointOnSurf(P, SP)
N = PPS.NearestPoint()
NbResults = PPS.NbPoints()
if NbResults > 0:
for i in range(1, NbResults + 1):
Q = PPS.Point(i)
distance = PPS.Distance(i)
pstring = "N : at Distance : " + repr(PPS.LowerDistance())
if NbResults > 0:
for i in range(1, NbResults + 1):
Q = PPS.Point(i)
distance = PPS.Distance(i)
pstring = "Q" + repr(i) + ": at Distance :" + repr(
PPS.Distance(i))
def closest_point(self, point, return_parameters=False):
"""Compute the closest point on the curve to a given point.
Parameters
----------
point : Point
The point to project to the surface.
return_parameters : bool, optional
If True, return the surface UV parameters in addition to the closest point.
Returns
-------
:class:`~compas.geometry.Point` | tuple[:class:`~compas.geometry.Point`, tuple[float, float]]
If `return_parameters` is False, the nearest point on the surface.
If `return_parameters` is True, the UV parameters in addition to the nearest point on the surface.
"""
projector = GeomAPI_ProjectPointOnSurf(point.to_occ(),
self.occ_surface)
point = Point.from_occ(projector.NearestPoint())
if not return_parameters:
return point
return point, projector.LowerDistanceParameters()
def project_mesh_to_cad_3d(mesh, cad):
from OCC.Core.BRepAdaptor import BRepAdaptor_Surface, BRepAdaptor_Curve
from OCC.Core.gp import gp_Pnt
from OCC.Core.GeomAPI import GeomAPI_ProjectPointOnSurf, GeomAPI_ProjectPointOnCurve
coorddata = mesh.coordinates.dat.data
ids = mesh.exterior_facets.unique_markers
filt = lambda arr: arr[numpy.where(arr < mesh.coordinates.dof_dset.size)[0]
]
boundary_nodes = {
id: filt(mesh.coordinates.function_space().boundary_nodes(
int(id), "topological"))
for id in ids
}
for (id, face) in zip(ids, cad.faces()):
owned_nodes = boundary_nodes[id]
for other_id in ids:
if id == other_id:
continue
owned_nodes = numpy.setdiff1d(owned_nodes,
boundary_nodes[other_id])
surf = BRepAdaptor_Surface(face)
for node in owned_nodes:
pt = gp_Pnt(*coorddata[node, :])
proj = GeomAPI_ProjectPointOnSurf(pt, surf.Surface().Surface())
if proj.NbPoints() > 0:
projpt = proj.NearestPoint()
coorddata[node, :] = projpt.Coord()
else:
warnings.warn("Projection of point %s onto face %d failed" %
(coorddata[node, :], id))
edges = set(cad.edges_from_face(face))
for (other_id, other_face) in zip(ids, cad.faces()):
if other_id <= id:
continue
intersecting_nodes = numpy.intersect1d(boundary_nodes[id],
boundary_nodes[other_id])
if len(intersecting_nodes) == 0:
continue
other_edges = set(cad.edges_from_face(other_face))
intersecting_edges = []
for edge in edges:
s = str(
edge
) # FIXME: is there a more elegant way to get the OCC id?
for other_edge in other_edges:
other_s = str(other_edge)
if s == other_s:
intersecting_edges.append(edge)
if len(intersecting_edges) == 0:
warnings.warn(
"face: %s other_face: %s intersecting_edges: %s" %
(face, other_face, intersecting_edges))
warnings.warn(
"Warning: no intersecting edges in CAD, even though vertices on both faces?"
)
continue
for node in intersecting_nodes:
pt = gp_Pnt(*coorddata[node, :])
projections = []
for edge in intersecting_edges:
curve = BRepAdaptor_Curve(edge)
proj = GeomAPI_ProjectPointOnCurve(pt,
curve.Curve().Curve())
if proj.NbPoints() > 0:
projpt = proj.NearestPoint()
sqdist = projpt.SquareDistance(pt)
projections.append((projpt, sqdist))
else:
warnings.warn(
"Projection of point %s onto curve failed" %
coorddata[node, :])
(projpt, sqdist) = min(projections, key=lambda x: x[1])
coorddata[node, :] = projpt.Coord()
gp_Dir(0.1, 0.2, 1.0),
gp_Dir(0.0, 0.5, 1.0))
px = np.linspace(-1, 1, 500) * 100 + 50
py = np.linspace(-1, 1, 700) * 100 - 50
mesh = np.meshgrid(px, py)
data = mesh[0]**2 / 1000 + mesh[1]**2 / 2000
face = spl_face(*mesh, data, ax0)
surf = BRep_Tool.Surface(face)
surf.Rotate(gp_Ax1(ax0.Location(), ax0.Direction()), np.deg2rad(15))
ax1 = gp_Ax3(gp_Pnt(150, 150, -20),
gp_Dir(0.5, 0.1, 1.0),
gp_Dir(0.0, 0.1, 1.0))
pnt = ax1.Location()
api = GeomAPI_ProjectPointOnSurf(pnt, surf)
print(api.NbPoints(), api.NearestPoint())
for i in range(api.NbPoints()):
idx = i + 1
u, v = api.Parameters(idx)
obj.display.DisplayShape(api.Point(idx))
print(idx, u, v)
print(GeomAPI_IntCS(Geom_Line(ax1.Axis()), surf).NbPoints())
u, v, w = GeomAPI_IntCS(Geom_Line(ax1.Axis()), surf).Parameters(1)
p, vx, vy = gp_Pnt(), gp_Vec(), gp_Vec()
api = GeomLProp_SLProps(surf, u, v, 1, 0.1E-03)
pnt = api.Value()
dst = pnt.Distance(ax1.Location())
ax2 = obj.prop_axs(ax1, dst)
rim_u = surf.UIso(u)
rim_v = surf.VIso(v)