Affine transformation

English

Noun

1. Template:Lb A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; Template:Lb an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

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   • 2004, Solomon Khmelnik, Computer Arithmetic of Geometrical Figures: Algorithms and Hardware Design, Mathematics in Computer Comp., page 8,

     Most striking and well-known examples of affine transformation applications are computer tomography (see for instance [1]) and information compression for telecommunication systems (see [2]).

     This book describes affine transformations (displacements, turns, scaling, shifts) of $n$-dimensional figures, where $n=1,2,3,4$.

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Further reading

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• Affine transformation on Template:W