from compas.geometry import Bezier
from compas.geometry import Point, Polyline, Vector
from compas.geometry import offset_polyline
from compas.utilities import linspace
from compas_plotters import GeometryPlotter
controlpoints = [
Point(0, 0, 0),
Point(4, 2.5, 0),
Point(6, -2.5, 0),
Point(10, 0, 0)
]
controlpoly = Polyline(controlpoints)
curve = Bezier(controlpoints)
poly = Polyline(curve.locus())
poly1 = Polyline(offset_polyline(poly, +0.15))
poly2 = Polyline(offset_polyline(poly, -0.15))
points = [curve.point(t) for t in linspace(0, 1, 20)]
tangents = [curve.tangent(t) for t in linspace(0, 1, 20)]
normals = [Vector(0, 0, 1).cross(t) for t in tangents]
# ==============================================================================
# Visualization
# ==============================================================================
plotter = GeometryPlotter(figsize=(16, 9))
plotter.add(controlpoly,
from compas.geometry import Point
from compas.geometry import Polyline, Bezier
from compas.geometry import NurbsCurve
from compas.artists import Artist
from compas.colors import Color
points = [Point(0, 0, 0), Point(3, 6, 0), Point(6, -3, 3), Point(10, 0, 0)]
bezier = Bezier(points)
points = bezier.locus(10)
curve = NurbsCurve.from_interpolation(points)
# ==============================================================================
# Visualisation
# ==============================================================================
Artist.clear()
Artist(curve).draw(color=Color.green())
Artist(Polyline(curve.points)).draw(show_points=True)
for point in points:
Artist(point).draw()
Artist.redraw()
from compas.geometry import Point
from compas.geometry import Polyline, Bezier
from compas.geometry import NurbsCurve
from compas.artists import Artist
from compas.colors import Color
points = [Point(0, 0, 0), Point(1, 2, 0), Point(2, -2, 0), Point(3, 0, 0)]
bezier = Bezier(points)
points = [Point(4, 0, 0), Point(5, 2, 0), Point(6, -2, 0), Point(7, 0, 0)]
curve1 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[4, 4],
degree=3)
curve2 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 2.0, 2.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[4, 4],
degree=3)
curve3 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0, 1.0],
knots=[0.0, 1 / 3, 2 / 3, 1.0],
multiplicities=[3, 1, 1, 3],
degree=3)
curve4 = NurbsCurve.from_parameters(
points=points,
def intersection_line_polyline(line, polyline):
for segment in pairwise(polyline.points):
x = intersection_line_segment_xy(line, segment)
if x:
return Point(*x)
controlpoints = [
Point(0, 0, 0),
Point(4, 2.5, 0),
Point(6, -2.5, 0),
Point(10, 0, 0)
]
controlpoly = Polyline(controlpoints)
curve = Bezier(controlpoints)
poly = Polyline(curve.locus())
poly1 = Polyline(offset_polyline(poly, +0.15))
poly2 = Polyline(offset_polyline(poly, -0.15))
points = [poly.point(t) for t in linspace(0, 1, 20)]
tangents = [(c - a).unitized() for a, b, c in window(points, 3) if a and c]
normals = [Vector(0, 0, 1).cross(t) for t in tangents]
lines = [[point, point + normal]
for point, normal in zip(points[1:-1], normals)]
points1 = [intersection_line_polyline(line, poly1) for line in lines]
points2 = [intersection_line_polyline(line, poly2) for line in lines]
frames = []
for a, b in pairwise(points[1:-1]):
from compas.geometry import Point
from compas.geometry import Polyline, Bezier
from compas.geometry import NurbsCurve
from compas.artists import Artist
from compas.colors import Color
points = [Point(0, 0, 0), Point(1, 3, 0), Point(2, 0, 0)]
bezier = Bezier(points)
points = [Point(3, 0, 0), Point(4, 3, 0), Point(5, 0, 0)]
curve1 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[3, 3],
degree=2)
curve2 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 2.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[3, 3],
degree=2)
curve3 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0],
knots=[0.0, 1.0, 2.0, 3.0, 4.0, 5.0],
multiplicities=[1, 1, 1, 1, 1, 1],
degree=2)
# ==============================================================================
# Visualisation
from compas.geometry import Point
from compas.geometry import Polyline, Bezier
from compas_occ.geometry import OCCNurbsCurve
from compas_view2.app import App
points = [Point(0, 0, 0), Point(1, 2, 0), Point(2, -2, 0), Point(3, 0, 0)]
bezier = Bezier(points)
points = [Point(4, 0, 0), Point(5, 2, 0), Point(6, -2, 0), Point(7, 0, 0)]
curve1 = OCCNurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[4, 4],
degree=3)
curve2 = OCCNurbsCurve.from_parameters(points=points,
weights=[1.0, 2.0, 2.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[4, 4],
degree=3)
curve3 = OCCNurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0, 1.0],
knots=[0.0, 1 / 3, 2 / 3, 1.0],
multiplicities=[3, 1, 1, 3],
degree=3)
curve4 = OCCNurbsCurve.from_parameters(
points=points,
weights=[1.0, 1.0, 1.0, 1.0],