Reflection

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

Bases: compas.geometry.transformations.transformation.Transformation

Creates a Reflection that mirrors points at a plane.

Examples

>>> point = [1, 1, 1]
>>> normal = [0, 0, 1]
>>> R1 = Reflection.from_plane((point, normal))
>>> R2 = Transformation([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 2], [0, 0, 0, 1]])
>>> R1 == R2
True

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`
`basis_vectors`	The basis vectors from the rotation component of the transformation matrix.
`data`	Return a `Transformation` object's to a data dict.
`determinant`	The determinant of the matrix of the transformation.
`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.
`list`	Flattens the 4x4 transformation matrix into a list of 16 numbers.
`name`	The name of the object.
`projection`	The projection component of the transformation matrix.
`rotation`	The rotation component of the transformation matrix.
`scale`	The scale component of the transformation matrix.
`shear`	The shear component of the transformation matrix.
`translation`	The translation component of the transformation matrix.
`translation_vector`

Methods

`from_frame`	Creates a reflection object that mirrors wrt the given frame.
`from_plane`	Creates a reflection object that mirrors wrt the given plane.

Inherited Methods

`concatenate`	Concatenate another transformation to this transformation.
`concatenated`	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`	Computes a change of basis transformation between two frames.
`from_data`	Creates a `Transformation` from a data dict.
`from_euler_angles`	Construct a transformation from a rotation represented by Euler angles.
`from_frame_to_frame`	Computes a transformation between two frames.
`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.
`from_list`	Creates a `Transformation` from a list of 16 numbers.
`from_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`	Serialize the data representation of an object to a JSON file.
`to_jsonstring`	Serialize the data representation of an object to a JSON string.
`transpose`	Transpose the matrix of this transformation.
`transposed`	Create a transposed copy of this transformation.
`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).

Reflection

COMPAS