Affine mapping
From Online Dictionary of Crystallography
Revision as of 18:37, 9 February 2007 by MassimoNespolo (talk | contribs)
Revision as of 18:37, 9 February 2007 by MassimoNespolo (talk | contribs)
Definition
An affine mapping is any mapping that preserves collinearity and ratios of distances but not necessarily angles or lengths.
Geometric contraction, expansion, dilation, reflection, rotation, shear, similarity transformations, spiral similarities, and translation are all affine transformations, as are their combinations.