1 November 1991 Fourier cross-correlation and invariance transformation for affine groups
Author Affiliations +
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.
© (1991) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Joseph Segman, 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); doi: 10.1117/12.50339; https://doi.org/10.1117/12.50339
PROCEEDINGS
15 PAGES


SHARE
RELATED CONTENT

Multipole methods for visual reconstruction
Proceedings of SPIE (June 23 1993)
Pattern Recognition With A Spiral Sampling Technique
Proceedings of SPIE (October 13 1987)
Decomposition of separable and symmetric convex templates
Proceedings of SPIE (November 01 1990)
Efficient Algorithms for Least-Squares Restoration
Proceedings of SPIE (November 01 1989)
SVD spectral feature of image processing
Proceedings of SPIE (October 29 1996)

Back to Top