Geometric invariant signatures and flows: classification and applications in image analysis

Guillermo Sapiro

doi:10.1117/12.191890

25 October 1994 Geometric invariant signatures and flows: classification and applications in image analysis

Guillermo Sapiro

Proceedings Volume 2277, Automatic Systems for the Identification and Inspection of Humans; (1994) https://doi.org/10.1117/12.191890
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available