OCCNurbsSurface

class compas_occ.geometry.OCCNurbsSurface(*args, **kwargs)[source]

Bases: compas_occ.geometry.surfaces.surface.OCCSurface, compas.geometry.surfaces.nurbs.NurbsSurface

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

Parameters

name (str, optional) – The name of the curve

Attributes

points (list[list[Point]], read-only) – The control points of the surface.
weights (list[list[float]], read-only) – The weights of the control points of the surface.
u_knots (list[float], read-only) – The knots of the surface in the U direction, without multiplicities.
v_knots (list[float], read-only) – The knots of the surface in the V direction, without multiplicities.
u_mults (list[int], read-only) – The multiplicities of the knots of the surface in the U direction.
v_mults (list[int], read-only) – The multiplicities of the knots of the surface in the V direction.

Other Attributes

occ_surface (Geom_BSplineSurface) – The underlying OCC surface.

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,
    u_knots=[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],
    v_knots=[0.0, 1/9, 2/9, 3/9, 4/9, 5/9, 6/9, 7/9, 8/9, 1.0],
    u_mults=[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
    v_mults=[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
    u_degree=3,
    v_degree=3,
)

Methods

`from_data`	Construct a BSpline surface from its data representation.
`from_fill`	Construct a NURBS surface from the infill between two NURBS curves.
`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

`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.
`copy`	Make an independent copy of the surface.
`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 from serialized data contained in a JSON file.
`from_jsonstring`	Construct an object from serialized data contained in a JSON string.
`from_meshgrid`	Construct a NURBS surface from a mesh grid.
`from_occ`	Construct a NUBRS surface from an existing OCC BSplineSurface.
`intersections_with_line`	Compute the intersections with a line.
`obb`	Compute the oriented bounding box of the surface.
`point_at`	Compute a point on the surface.
`to_data`	Convert an object to its native data representation.
`to_json`	Serialize the data representation of an object to a JSON file.
`to_jsonstring`	Serialize the data representation of an object to a JSON string.
`to_mesh`	Convert the surface to a quad mesh.
`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.
`transform`	Transform this surface.
`transformed`	Transform an independent copy of this surface.
`u_isocurve`	Compute the isoparametric curve at parameter u.
`u_space`	Compute evenly spaced parameters over the surface domain in the U direction.
`v_isocurve`	Compute the isoparametric curve at parameter v.
`v_space`	Compute evenly spaced parameters over the surface domain in the V direction.
`validate_data`	Validate the object's data against its data schema (self.DATASCHEMA).
`validate_json`	Validate the object's data against its json schema (self.JSONSCHEMA).
`xyz`	Compute point locations corresponding to evenly spaced parameters over the surface domain.

OCCNurbsSurface

COMPAS