Translation: In a translation, everything. Validate the data loaded from a JSON representation of the data of this object against its data schema ( self.DATASCHEMA). There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection. First, a translation is performed on the figure. of reflection transformation, line of symmetry, reflection symmetry of plane shapes, and reflections on a coordinate plane. Validate the data of this object against its data schema ( self.DATASCHEMA). Definition: A glide reflection in math is a combination of transformations in 2-dimensional geometry. Review Point A1 is the reflection, across a line, of point A if the. Transpose the matrix of this transformation.Ĭreate a transposed copy of this transformation. The properties of reflection of shapes across a line are explored using a geometry applet. Serialize the data representation of an object to a JSON file. from_plane (( point, normal )) > R2 = Transformation (,, , ]) > R1 = R2 TrueĬonstruct a transformation from a 4x4 transformation matrix.Ĭoncatenate another transformation to this transformation.Ĭoncatenate two transformations into one Transformation.ĭecompose the Transformation into its Scale, Shear, Rotation, Translation and Projection components.įrom_change_of_basis(frame_from, frame_to)Ĭomputes a change of basis transformation between two frames.Ĭreates a Transformation from a data dict.įrom_euler_angles(euler_angles)Ĭonstruct a transformation from a rotation represented by Euler angles.Ĭreates a reflection object that mirrors wrt the given frame.įrom_frame_to_frame(frame_from, frame_to)Ĭomputes a transformation between two frames.Ĭonstruct an object from serialised data contained in a JSON file.Ĭreates a Transformation from a list of 16 numbers.Ĭreates a Transformation from a 4x4 matrix-like object.Ĭreates a reflection object that mirrors wrt the given plane.Ĭonvert a Transformation object to a data dict.
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