The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Coordinate Systems Homogeneous Coordinates 3D Scaling  
See also: 3D Translation  
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3D Scaling with Homogeneous CoordinatesThe scaling in threedimensional space can be accomplished by setting the scaling elements S_{x}, S_{y}, and S_{z} of the homogeneous transformation matrix to the appropriate coefficients. The other elements are either 0 or 1:
The scaling can be inverted by using the reciprocal values of the scaling components S_{x}, S_{y}, and S_{z}.


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