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25 October 1994 Geometric invariant signatures and flows: classification and applications in image analysis
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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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Guillermo Sapiro "Geometric invariant signatures and flows: classification and applications in image analysis", Proc. SPIE 2277, Automatic Systems for the Identification and Inspection of Humans, (25 October 1994); https://doi.org/10.1117/12.191890
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