# Projection

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

Create a projection transformation.

Parameters

matrix (4x4 matrix-like, optional) – A 4x4 matrix (or similar) representing a projection transformation.

Raises

ValueError – If the default constructor is used, and the provided transformation matrix is not a shear matrix.

Examples

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Methods

 concatenate(other) Concatenate another transformation to this transformation. concatenated(other) Concatenate two transformations into one Transformation. Returns a copy of the transformation. 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_entries(perspective_entries) Constructs a perspective transformation by the perspective entries of a matrix. 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 serialized data contained in a JSON file. from_jsonstring(string) Construct an object from serialized data contained in a JSON string. 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_plane(plane) Returns an orthogonal Projection to project onto a plane. from_plane_and_direction(plane, direction) Returns a parallel Projection to project onto a plane along a specific direction. from_plane_and_point(plane, center_of_projection) Returns a perspective Projection to project onto a plane along lines that emanate from a single point, called the center of projection. Returns the inverse transformation. Invert this transformation. Returns the inverse transformation. Convert a Transformation object to a data dict. 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. Transpose the matrix of this transformation. Create a transposed copy of this transformation. Validate the object's data against its data schema (self.DATASCHEMA). Validate the object's data against its json schema (self.JSONSCHEMA).