Projectively adapted pattern representation using noncommutative harmonic analysis

Jacek Turski

doi:10.1117/12.236708

25 March 1996 Projectively adapted pattern representation using noncommutative harmonic analysis

Jacek Turski

Proceedings Volume 2662, Nonlinear Image Processing VII; (1996) https://doi.org/10.1117/12.236708
Event: Electronic Imaging: Science and Technology, 1996, San Jose, CA, United States

Abstract

Projectively invariant classification of patterns is constructed in terms of orbits of the group SL(2,C) acting on an extended complex line (image plane with complex coordinates) by Mobius transformations. It provides projectively adapted noncommutative harmonic analysis for patterns by decomposing a pattern into irreducible representations of the unitary principal series of SL(2,C). It is the projective analog of the classical (Euclidean) Fourier decomposition, well suited for the analysis of projectively distorted images such as aerial images of the same scene when taken from different vantage points.

Citation Download Citation

Jacek Turski "Projectively adapted pattern representation using noncommutative harmonic analysis", Proc. SPIE 2662, Nonlinear Image Processing VII, (25 March 1996); https://doi.org/10.1117/12.236708

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