Euclidean mapping
From Online Dictionary of Crystallography
Revision as of 14:17, 23 April 2007 by MassimoNespolo (talk | contribs)
Revision as of 14:17, 23 April 2007 by MassimoNespolo (talk | contribs)
ユークリッド写像 (Ja)
The Euclidean mapping is a special case of affine mapping that, besides collinearity and ratios of distances, keeps also distances and angles. Because of this, a Euclidean mapping is also called a rigid motion.
Euclidean mappings are of three types:
- translations
- rotations
- reflections.
A special case of Euclidean mapping is a symmetry operation.