A Procrustes transformation is a geometric transformation that involves only translation, rotation, uniform scaling, or a combination of these transformations. Hence, it may change the size, position, and orientation of a geometric object, but not its shape.
The Procrustes transformation is named after the mythical Greek robber Procrustes[1] who made his victims fit his bed either by stretching their limbs or cutting them off.
See also
edit- Procrustes analysis
- Orthogonal Procrustes problem
- Singular value decomposition
- Affine transformation, which also allows for shear
References
edit- ^ Ramsay, J. O.; Silverman, B. W. (23 November 2007). Applied Functional Data Analysis: Methods and Case Studies. Springer. ISBN 978-0-387-22465-7. Retrieved 1 November 2024.
External links
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