Translation

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

Bases: compas.geometry.transformations.transformation.Transformation

Create a translation transformation.

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

Examples

>>> T = Translation.from_vector([1, 2, 3])
>>> T[0, 3] == 1
True
>>> T[1, 3] == 2
True
>>> T[2, 3] == 3
True

>>> from compas.geometry import Vector
>>> T = Translation.from_vector(Vector(1, 2, 3))
>>> T[0, 3] == 1
True
>>> T[1, 3] == 2
True
>>> T[2, 3] == 3
True

>>> T = Translation([[1, 0, 0, 1], [0, 1, 0, 2], [0, 0, 1, 3], [0, 0, 0, 1]])
>>> T[0, 3] == 1
True
>>> T[1, 3] == 2
True
>>> T[2, 3] == 3
True

Methods

`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_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.
`from_vector`(vector)	Create a translation transformation from a translation vector.
`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).

Translation

COMPAS