NurbsSurface

class compas.geometry.NurbsSurface

Bases: Surface

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

Parameters:

namestr, optional

The name of the surface.

Attributes:

pointslist[list[compas.geometry.Point]], read-only

The control points as rows along the U direction.

weightslist[list[float]], read-only

The weights of the control points.

knots_ulist[float], read-only

The knots in the U direction, without multiplicity.

knots_vlist[float], read-only

The knots in the V direction, without multiplicity.

mults_ulist[int], read-only

Multiplicity of the knots in the U direction.

mults_vlist[int], read-only

Multiplicity of the knots in the V direction.

degree_ulist[int], read-only

The degree of the surface in the U direction.

degree_vlist[int], read-only

The degree of the surface in the V direction.

Methods

copy	Make an independent copy of the surface.
from_cylinder	Construct a surface from a cylinder.
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_frame	Construct a surface from a frame.
from_interpolation	Construct a surface from a frame.
from_meshgrid	Construct a NURBS surface from a mesh grid.
from_native	Construct a NURBS surface from a native surface geometry.
from_parameters	Construct a NURBS surface from explicit parameters.
from_plane	Construct a surface from a plane.
from_points	Construct a NURBS surface from control points.
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.

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_json	Construct an object of this type from a JSON file.
from_jsonstring	Construct an object of this type from a JSON string.
from_obj	Load a surface from an OBJ file.
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.
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_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 the local coordinate system of the 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.