Surface Points Over UV Space

from compas.geometry import NurbsSurface
from compas.geometry import Point
from compas.geometry import Polyline
from compas.itertools import flatten
from compas.itertools import linspace
from compas.itertools import meshgrid
from compas_viewer import Viewer

points = [
    [Point(0, 0, 0), Point(1, 0, 0), Point(2, 0, 0), Point(3, 0, 0), Point(4, 0, 0)],
    [Point(0, 1, 0), Point(1, 1, 2), Point(2, 1, 2), Point(3, 1, 0), Point(4, 1, 0)],
    [Point(0, 2, 0), Point(1, 2, 2), Point(2, 2, 2), Point(3, 2, 0), Point(4, 2, 0)],
    [Point(0, 3, 0), Point(1, 3, 0), Point(2, 3, 0), Point(3, 3, 0), Point(4, 3, 0)],
]

surface = NurbsSurface.from_points(points=points)

# ==============================================================================
# Points over UV space
# ==============================================================================

U, V = meshgrid(linspace(*surface.domain_u), linspace(*surface.domain_v), "ij")
spacepoints = [surface.point_at(u, v) for u, v in zip(flatten(U), flatten(V))]

# ==============================================================================
# Visualisation
# ==============================================================================

viewer = Viewer()

for row in surface.points:
    viewer.scene.add(
        Polyline(row),
        show_points=True,
        pointsize=20,
        pointcolor=(1, 0, 0),
        lineswidth=2,
        linecolor=(1.0, 0.5, 0.5),
    )

for col in zip(*surface.points):
    viewer.scene.add(
        Polyline(col),
        show_points=True,
        pointsize=20,
        pointcolor=(1, 0, 0),
        lineswidth=2,
        linecolor=(0.5, 1.0, 0.5),
    )

viewer.scene.add(surface)
# viewer.scene.add(Collection(spacepoints))
viewer.show()