Bezier

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

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

Examples

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

Attributes

`data`	The data dictionary that represents the curve.
`degree`	The degree of the curve.
`points`	The control points.

Inherited Attributes

`DATASCHEMA`	The schema of the data of this object.
`JSONSCHEMA`	The schema of the JSON representation of the data of this object.
`JSONSCHEMANAME`
`dtype`	The type of the object in the form of a '2-level' import and a class name.
`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

`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.

Inherited Methods

`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.
`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.
`transform`	Transform the geometry.
`transformed`	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).