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Proceedings Paper

Geometric invariant signatures and flows: classification and applications in image analysis
Author(s): Guillermo Sapiro
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Paper Abstract

Based on modern invariant theory and symmetry groups, a high level way of defining invariant geometric flows for a given Lie group is described in this work. We then analyze in more detail different subgroups of the projective group, which are of special interest for computer vision. We classify the corresponding invariant flows and show that the geometric heat flow is the simplest possible one. Results on invariant geometric flows of surfaces are presented in this paper as well. We then show how the planar curve flow obtained for the affine group can be used for geometric smoothing of planar shapes and edge preserving enhancement of MRI. We conclude the paper with the presentation of an affine invariant geometric edge detector obtained from the classification of affine differential invariants.

Paper Details

Date Published: 25 October 1994
PDF: 13 pages
Proc. SPIE 2277, Automatic Systems for the Identification and Inspection of Humans, (25 October 1994); doi: 10.1117/12.191890
Show Author Affiliations
Guillermo Sapiro, Massachusetts Institute of Technology (United States)

Published in SPIE Proceedings Vol. 2277:
Automatic Systems for the Identification and Inspection of Humans
Richard J. Mammone; J. David Murley Jr., Editor(s)

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