NurbsSurface

class compas.geometry.NurbsSurface(*args, **kwargs)[source]

Bases: Surface

A NURBS surface is defined by control points, weights, knots, and a degree, in two directions U and V.

Parameters

name (str, optional) – The name of the surface.

Attributes

• points (list[list[Point]], read-only) – The control points as rows along the U direction.

• weights (list[list[float]], read-only) – The weights of the control points.

• u_knots (list[float], read-only) – The knots in the U direction, without multiplicity.

• v_knots (list[float], read-only) – The knots in the V direction, without multiplicity.

• u_mults (list[int], read-only) – Multiplicity of the knots in the U direction.

• v_mults (list[int], read-only) – Multiplicity of the knots in the V direction.

• u_degree (list[int], read-only) – The degree of the surface in the U direction.

• v_degree (list[int], read-only) – The degree of the surface in the V direction.

Methods

copy	Make an independent copy of the surface.
from_data	Construct a BSpline surface from its data representation.
from_fill	Construct a NURBS surface from the infill between two, three or four contiguous NURBS curves.
from_meshgrid	Construct a NURBS surface from a mesh grid.
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.
curvature_at	Compute the curvature at a point on the surface.
frame_at	Compute the local frame at a point on the curve.
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_obj	Load a surface from an OBJ file.
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.
sha256	Compute a hash of the data for comparison during version control using the sha256 algorithm.
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 the geometry.
transformed	Returns a transformed copy of this geometry.
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.
validate_json	Validate the object's data against its json schema.
xyz	Compute point locations corresponding to evenly spaced parameters over the surface domain.