Difference between revisions of "Euclidean mapping"
From Online Dictionary of Crystallography
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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''. | 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''. | ||
Revision as of 14:17, 23 April 2007
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.