Python Projection.from_plane_and_direction Examples

Example #1

from compas_rhino.artists import MeshArtist
from compas.datastructures import Mesh

# Define a Frame, which is not in the origin and a bit tilted to the world frame
frame = Frame([4, 4, 4], [.5, 1, 2], [0, 1, 2])

# Create a Box with that frame
width, length, height = 1, 1, 1
box = Box(frame, width, length, height)

# Create a Projection (can be orthogonal, parallel or perspective)
point = [0, 0, 0]
normal = [0, 0, 1]
plane = Plane(point, normal)
direction = [1, 1, 1]
P = Projection.from_plane_and_direction(plane, direction)

# Create a Mesh from the Box
mesh = Mesh.from_shape(box)

# Apply the Projection onto the mesh
mesh_projected = mesh.transformed(P)

# Create artists
artist1 = BoxArtist(box)
artist2 = MeshArtist(mesh_projected)

# Draw
artist1.draw()
artist2.draw_edges(color="#00ff00")

Example #2

File: project_box_to_xy_plane.py Project: MAS-dfab/MAS-2021_compas_fab_intro

# Box in the world coordinate system
frame = Frame([1, 0, 0], [-0.45, 0.1, 0.3], [1, 0, 0])
width, length, height = 1, 1, 1
box = Box(frame, width, length, height)

# Frame F representing a coordinate system
F = Frame([2, 2, 2], [0.978, 0.010, -0.210], [0.090, 0.882, 0.463])

# Get transformation between frames and apply transformation on box.
T = Transformation.from_frame_to_frame(Frame.worldXY(), F)
box_transformed = box.transformed(T)

# make Mesh from box
mesh_transformed = Mesh.from_shape(box_transformed)

# create Projection
P = Projection.from_plane_and_direction(Plane((0, 0, 0), (0, 0, 1)), (3, 5, 5))
P = Projection.from_plane(Plane((0, 0, 0), (0, 0, 1)))
P = Projection.from_plane_and_point(Plane((0, 0, 0), (0, 0, 1)), (3, 5, 5))

# apply transformation on mesh
mesh_projected = mesh_transformed.transformed(P)

# create artists
artist1 = BoxArtist(box_transformed)
artist2 = MeshArtist(mesh_projected)

# draw
artist1.draw()
artist2.draw()

Example #3

def test_projection_parallel():
    point = [0, 0, 0]
    normal = [0, 0, 1]
    direction = [1, 1, 1]
    P = Projection.from_plane_and_direction((point, normal), direction)
    assert P.matrix == [[1.0, 0.0, -1.0, 0.0], [0.0, 1.0, -1.0, 0.0], [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0]]

Example #4

File: assignment_01.py Project: trtku/COMPAS-II-FS2021

from compas.datastructures import Mesh

# Define a Frame, which is not in the origin and a bit tilted to the world frame
frame = Frame(Point(1, 1, 3), Vector(1, 0, 1), Vector(0, 1, 1))

# Create a Box with that frame
box = Box(frame, 2, 3, 6)

# create a plane for the projection
planexy = Plane.worldXY()

# Create a Projection (can be orthogonal, parallel or perspective)
P3 = Projection.from_plane(
    planexy)  # orthogonal Projection to project onto a plane
P4 = Projection.from_plane_and_direction(planexy, direction=Vector(
    -2, 2, 1))  # parallel projection
P5 = Projection.from_plane_and_point(planexy,
                                     Point(3, -3,
                                           -1))  # perspective Projection

# Create a Mesh from the Box
mesh = Mesh.from_shape(box)

# Apply the Projection onto the mesh
mesh_projected3 = mesh.transformed(P3)
mesh_projected4 = mesh.transformed(P4)
mesh_projected5 = mesh.transformed(P5)

# Create artists
artist1 = BoxArtist(box)
artist2 = FrameArtist(frame)

Example #5

frame = Frame((
    1,
    0,
    0,
), (1, 0, 0), (0, 1, 0))

# Create a Box with that frame
box = Box(frame, 0.3, 0.3, 0.3)

# Create a Projection (can be orthogonal, parallel or perspective)
point = [0, 0, 0]
normal = [0, 0, 1]
XYplane = Plane(point, normal)
direction = [1, 1, 1]

P = Projection.from_plane_and_direction(XYplane, normal)

# Create a Mesh from the Box
mesh = Mesh.from_shape(box)

# Apply the Projection onto the mesh
mesh_projected = mesh.projected(P)

# Create artists
artist1 = BoxArtist(box)
artist2 = MeshArtist(mesh_projected)

# Draw
artist1.draw()
artist2.draw_edges(color="#00ff00")