Bezier

class compas.geometry.Bezier(points)[source]

Bases: Primitive

A Bezier curve is defined by control points and a degree.

A Bezier curve of degree n is a linear combination of n + 1 Bernstein basis polynomials of degree n.

Parameters

points (sequence[point]) – A sequence of control points, represented by their location in 3D space.

Attributes

• points (list[Point]) – The control points.

• degree (int, read-only) – The degree of the curve.

Examples

>>> curve = Bezier([[0.0, 0.0, 0.0], [0.5, 1.0, 0.0], [1.0, 0.0, 0.0]])
>>> curve.degree
2

Methods

from_data	Construct a curve from its data representation.
locus	Compute the locus of all points on the curve.
point	Compute a point on the curve.
tangent	Compute the tangent vector at a point on the curve.
transform	Transform this curve.

Inherited Methods

ToString	Converts the instance to a string.
copy	Make an independent copy of the data object.
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.
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.
transformed	Returns a transformed copy of this geometry.
validate_data	Validate the object's data against its data schema.
validate_json	Validate the object's data against its json schema.