Fourier cross-correlation and invariance transformation for affine groups

Joseph Segman

doi:10.1117/12.50339

1 November 1991 Fourier cross-correlation and invariance transformation for affine groups

Joseph Segman

Proceedings Volume 1606, Visual Communications and Image Processing '91: Image Processing; (1991) https://doi.org/10.1117/12.50339
Event: Visual Communications, '91, 1991, Boston, MA, United States

Abstract

A framework for an optimal analysis of a large class of patterns deformed by affine transformation groups is presented. This approach is based on the properties of the Fourier cross-correlation and Lie groups theory. Group properties such as homogeneity, symmetry, and isometry are utilized naturally. In particular, we consider the important groups of similarities and rigid motion in plane and space. The method is general to any object functions: picture, shape, curve, etc.

Citation Download Citation

Joseph Segman "Fourier cross-correlation and invariance transformation for affine groups", Proc. SPIE 1606, Visual Communications and Image Processing '91: Image Processing, (1 November 1991); https://doi.org/10.1117/12.50339

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