OCCNurbsSurface

class compas_occ.geometry.OCCNurbsSurface(*args, **kwargs)

Bases: OCCSurface, NurbsSurface

Class representing a NURBS surface based on the BSplineSurface of the OCC geometry kernel.

Parameters:

namestr, optional

The name of the curve

Examples

Construct a surface from points…

from compas.geometry import Point
from compas_occ.geometry import OCCNurbsSurface

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

surface = OCCNurbsSurface.from_points(points=points)

Construct a surface from points…

from compas.geometry import Point
from compas_occ.geometry import OCCNurbsSurface

points = [
    [Point(0, 0, 0), Point(1, 0, +0), Point(2, 0, +0), Point(3, 0, +0), Point(4, 0, +0), Point(5, 0, 0)],
    [Point(0, 1, 0), Point(1, 1, -1), Point(2, 1, -1), Point(3, 1, -1), Point(4, 1, -1), Point(5, 1, 0)],
    [Point(0, 2, 0), Point(1, 2, -1), Point(2, 2, +2), Point(3, 2, +2), Point(4, 2, -1), Point(5, 2, 0)],
    [Point(0, 3, 0), Point(1, 3, -1), Point(2, 3, +2), Point(3, 3, +2), Point(4, 3, -1), Point(5, 3, 0)],
    [Point(0, 4, 0), Point(1, 4, -1), Point(2, 4, -1), Point(3, 4, -1), Point(4, 4, -1), Point(5, 4, 0)],
    [Point(0, 5, 0), Point(1, 5, +0), Point(2, 5, +0), Point(3, 5, +0), Point(4, 5, +0), Point(5, 5, 0)],
]

weights = [
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
    [1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
]

surface = OCCNurbsSurface.from_parameters(
    points=points,
    weights=weights,
    knots_u=[1.0, 1 + 1 / 9, 1 + 2 / 9, 1 + 3 / 9, 1 + 4 / 9, 1 + 5 / 9, 1 + 6 / 9, 1 + 7 / 9, 1 + 8 / 9, 2.0],
    knots_v=[0.0, 1 / 9, 2 / 9, 3 / 9, 4 / 9, 5 / 9, 6 / 9, 7 / 9, 8 / 9, 1.0],
    mults_u=[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
    mults_v=[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
    degree_u=3,
    degree_v=3,
)

Attributes:

pointslist[list[Point]], read-only

The control points of the surface.

weightslist[list[float]], read-only

The weights of the control points of the surface.

knots_ulist[float], read-only

The knots of the surface in the U direction, without multiplicities.

knots_vlist[float], read-only

The knots of the surface in the V direction, without multiplicities.

mults_ulist[int], read-only

The multiplicities of the knots of the surface in the U direction.

mults_vlist[int], read-only

The multiplicities of the knots of the surface in the V direction.

Methods

copy	Make an independent copy of the current surface.
from_extrusion	Construct a NURBS surface from an extrusion of a basis curve.
from_fill	Construct a NURBS surface from the infill between two, three or four contiguous NURBS curves.
from_interpolation	Construct a NURBS surface by approximating or interpolating a 2D collection of points.
from_native	Construct a NURBS surface from an existing OCC Surface.
from_parameters	Construct a NURBS surface from explicit parameters.
from_plane	Construct a NURBS surface from a plane.
from_points	Construct a NURBS surface from control points.

Inherited Methods

ToString	Converts the instance to a string.
aabb	Compute the axis aligned bounding box of the surface.
boundary	Compute the boundary curves of the surface.
closest_point	Compute the closest point on the curve to a given point.
compute_aabb	Compute the axis-aligned bounding box of the geometry.
compute_obb	Compute the oriented bounding box of the geometry.
curvature_at	Compute the curvature at a point on the surface.
frame_at	Compute the local frame at a point on the curve.
from_cylinder	Construct a surface from a cylinder.
from_face	Construct a surface from an existing OCC TopoDS_Face.
from_frame	Construct a surface from a frame.
from_json	Construct an object of this type from a JSON file.
from_jsonstring	Construct an object of this type from a JSON string.
from_meshgrid	Construct a NURBS surface from a mesh grid.
from_obj	Load a surface from an OBJ file.
from_occ	Construct a surface from an existing OCC Surface.
from_sphere	Construct a surface from a sphere.
from_step	Load a NURBS surface from a STP file.
from_torus	Construct a surface from a torus.
gaussian_curvature_at	Compute the Gaussian curvature at a point on the surface.
intersections_with_curve	Compute the intersections with a curve.
intersections_with_line	Compute the intersections with a line.
intersections_with_plane	Compute the intersections with a plane.
isocurve_u	Compute the isoparametric curve at parameter u.
isocurve_v	Compute the isoparametric curve at parameter v.
mean_curvature_at	Compute the mean curvature at a point on the surface.
normal_at	Compute a normal at a point on the surface.
obb	Compute the oriented bounding box of the surface.
point_at	Compute a point on the surface.
pointgrid	Compute point locations corresponding to evenly spaced parameters over the surface domain.
rotate	Rotate the geometry.
rotated	Returns a rotated copy of this geometry.
scale	Scale the geometry.
scaled	Returns a scaled copy of this geometry.
sha256	Compute a hash of the data for comparison during version control using the sha256 algorithm.
space_u	Compute evenly spaced parameters over the surface domain in the U direction.
space_v	Compute evenly spaced parameters over the surface domain in the V direction.
to_brep	Convert the surface to a BREP representation.
to_json	Convert an object to its native data representation and save it to a JSON file.
to_jsonstring	Convert an object to its native data representation and save it to a JSON string.
to_mesh	Convert the surface to a mesh.
to_polyhedron	Convert the surface to a polyhedron.
to_quads	Convert the surface to a list of quads.
to_step	Write the surface geometry to a STP file.
to_tesselation	Convert the surface to a triangle mesh.
to_triangles	Convert the surface to a list of triangles.
to_vertices_and_faces	Convert the surface to a list of vertices and faces.
transform	Transform this surface.
transformed	Returns a transformed copy of this geometry.
translate	Translate the geometry.
translated	Returns a translated copy of this geometry.
validate_data	Validate the data against the object's data schema.