The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Coordinate Systems Homogeneous Coordinates Definition  
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Homogeneous CoordinatesHomogeneous coordinates are a simple and efficient means to perform geometric transformations by matrix multiplication. The entire set of geometric transformations, can be combined into a 4×4 matrix (or into a 3×3 matrix in the case of twodimensional coordinates):
Homogeneous coordinates exhibit several benefits:
In order to apply homogeneous transformations the (augmented) original data vector is multiplied by the transformation matrix. The resulting 3^{rd} or 4^{th} coordinate is either discarded or used to create a perspective view (see 3D projections).


Home Coordinate Systems Homogeneous Coordinates Definition 