Scale

class compas.geometry.Scale(matrix=None)[source]

Bases: compas.geometry.transformations.transformation.Transformation

Creates a scale transformation.

Parameters: matrix (4x4 matrix-like, optional) – A 4x4 matrix (or similar) representing a scaling.
Raises: ValueError – If the default constructor is used, and the provided transformation matrix is not a scale matrix.

Examples

>>> S = Scale.from_factors([1, 2, 3])
>>> S[0, 0] == 1
True
>>> S[1, 1] == 2
True
>>> S[2, 2] == 3
True

>>> point = Point(2, 5, 0)
>>> frame = Frame(point, (1, 0, 0), (0, 1, 0))
>>> points = [point, Point(2, 10, 0)]
>>> S = Scale.from_factors([2.] * 3, frame)
>>> [p.transformed(S) for p in points]
[Point(2.000, 5.000, 0.000), Point(2.000, 15.000, 0.000)]

Methods

`__init__`([matrix])	Construct a transformation from a 4x4 transformation matrix.
`concatenate`(other)	Concatenate another transformation to this transformation.
`concatenated`(other)	Concatenate two transformations into one `Transformation`.
`copy`()	Returns a copy of the transformation.
`decomposed`()	Decompose the `Transformation` into its `Scale`, `Shear`, `Rotation`, `Translation` and `Projection` components.
`from_change_of_basis`(frame_from, frame_to)	Computes a change of basis transformation between two frames.
`from_data`(data)	Creates a `Transformation` from a data dict.
`from_euler_angles`(euler_angles[, static, …])	Construct a transformation from a rotation represented by Euler angles.
`from_factors`(factors[, frame])	Construct a scale transformation from scale factors.
`from_frame`(frame)	Computes a transformation from world XY to frame.
`from_frame_to_frame`(frame_from, frame_to)	Computes a transformation between two frames.
`from_json`(filepath)	Construct an object from serialised data contained in a JSON file.
`from_list`(numbers)	Creates a `Transformation` from a list of 16 numbers.
`from_matrix`(matrix)	Creates a `Transformation` from a 4x4 matrix-like object.
`inverse`()	Returns the inverse transformation.
`invert`()	Invert this transformation.
`inverted`()	Returns the inverse transformation.
`to_data`()	Convert a `Transformation` object to a data dict.
`to_json`(filepath)	Serialize the data representation of an object to a JSON file.
`transpose`()	Transpose the matrix of this transformation.
`transposed`()	Create a transposed copy of this transformation.
`validate_data`()	Validate the data of this object against its data schema (self.DATASCHEMA).
`validate_json`()	Validate the data loaded from a JSON representation of the data of this object against its data schema (self.DATASCHEMA).

Scale

COMPAS