The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

Home Coordinate Systems Homogeneous Coordinates 3D Translation
See also: 3D Scaling 
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3D Translation with Homogeneous Coordinates

The translation in three-dimensional space can be accomplished by setting the translation elements of the homogeneous transformation matrix to the appropriate coefficients. The other elements are either 0 or 1:

3D translation by means of a homogeneous transformation matrix.

The translation can be inverted by changing the sign of the translation components Tx, Ty, and Tz.

Home Coordinate Systems Homogeneous Coordinates 3D Translation

Last Update: 2010-12-06