Undoing the affine transformation using blind source separation

Authors:
Nazli Guney;Aysin Ertuzun
Affiliations:
Department of Electrical and Electronics Engineering, Bogazici University, Istanbul, Turkey;Department of Electrical and Electronics Engineering, Bogazici University, Istanbul, Turkey
Venue:
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Year:
2006

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Abstract

Recognition of planar objects from their images taken from different viewpoints requires affine invariants calculated from the object boundaries. The equivalence between affine transformation and the source mixture model simplifies the recognition problem. The rotation, scaling, skewing, and translation effects of the affine transformation can be undone by using blind source separation (BSS) techniques to go back to a canonical object view. Then, the problem is reduced from a more involved affine invariant search to a simple shape matching task. Point correspondence between two curves initially related by an affine transformation is obtained with further processing.