Difference between revisions of "Euclidean mapping"
From Online Dictionary of Crystallography
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| − | <font color="blue">Transformation Euclidienne</font> (''Fr'') | + | <font color="blue">Transformation Euclidienne</font> (''Fr''); <font color="black">Transformazione Euclidiana</font> (''It''); <font color="purple">ユークリッド写像</font> (''Ja''); <font color="green">Transformación Euclidiana</font> (''Sp''). |
Revision as of 08:59, 12 October 2017
Transformation Euclidienne (Fr); Transformazione Euclidiana (It); ユークリッド写像 (Ja); Transformación Euclidiana (Sp).
The Euclidean mapping or isometry 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.