Bezier

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

Bases: compas.geometry.primitives._primitive.Primitive

A Bezier curve.

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

Parameters

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

Attributes

• data (dict) – The dictionary representation of the curve.

• points (list of compas.geometry.Point) – The control points of the curve.

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

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

copy([cls])	Make an independent copy of the data object.
from_data(data)	Construct a curve from its data representation.
from_json(filepath)	Construct an object from serialized data contained in a JSON file.
from_jsonstring(string)	Construct an object from serialized data contained in a JSON string.
locus([resolution])	Compute the locus of all points on the curve.
point(t)	Compute a point on the curve.
tangent(t)	Compute the tangent vector at a point on the curve.
to_data()	Convert an object to its native data representation.
to_json(filepath[, pretty])	Serialize the data representation of an object to a JSON file.
to_jsonstring([pretty])	Serialize the data representation of an object to a JSON string.
transform(transformation)	Transform the geometry.
transformed(transformation)	Returns a transformed copy of this geometry.
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).