NurbsSurface

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

Bases: compas.geometry.surfaces.surface.Surface

Class representing a NURBS surface.

Attributes

• points (List[List[Point]]) – The control points of the surface.

• weights (List[List[float]]) – The weights of the control points.

• u_knots (List[float]) – The knot vector, in the U direction, without duplicates.

• v_knots (List[float]) – The knot vector, in the V direction, without duplicates.

• u_mults (List[int]) – The multiplicities of the knots in the knot vector of the U direction.

• v_mults (List[int]) – The multiplicities of the knots in the knot vector of the V direction.

• u_degree (int) – The degree of the polynomials in the U direction.

• v_degree (int) – The degree of the polynomials in the V direction.

• u_domain (Tuple[float, float]) – The parameter domain in the U direction.

• v_domain (Tuple[float, float]) – The parameter domain in the V direction.

• is_u_periodic (bool) – True if the curve is periodic in the U direction.

• is_v_periodic (bool) – True if the curve is periodic in the V direction.

Attributes

DATASCHEMA	The schema of the data of this object.
JSONSCHEMANAME
data	The representation of the object as native Python data.
dtype	The type of the object in the form of a '2-level' import and a class name.
is_u_periodic
is_v_periodic
points
u_degree
u_domain
u_knots
u_mults
v_degree
v_domain
v_knots
v_mults
weights

Inherited Attributes

JSONSCHEMA	The schema of the JSON representation of the data of this object.
guid	The globally unique identifier of the object.
jsondefinitions	Reusable schema definitions.
jsonstring	The representation of the object data in JSON format.
jsonvalidator	JSON schema validator for draft 7.
name	The name of the object.

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_data	Construct a BSpline surface from its data representation.
from_fill	Construct a NURBS surface from the infill between two 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.
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_mesh	Convert the surface to a quad mesh.
to_step	Write the surface geometry to a STP file.
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.
xyz	Compute point locations corresponding to evenly spaced parameters over the surface domain.

Inherited Methods

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.
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.
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).