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_parameters`	Construct a NURBS surface from explicit parameters.
`from_points`	Construct a NURBS surface from control points.
`from_step`	Load a NURBS surface from a STP file.

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_face`	Construct surface from an existing OCC TopoDS_Face.
`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_native`	Construct a NURBS surface from a surface object.
`from_obj`	Load a surface from an OBJ file.
`from_occ`	Construct a NUBRS surface from an existing OCC BSplineSurface.
`from_plane`	Construct a surface from a plane.
`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.