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


Conference Paper

© 1994 SPIE. All rights reserved. Based on modern invariant theory and symmetry groups, a high level way of defining invariant geometricflows for a given Lie group is described in this work. We then analyze in more detail different subgroups ofthe projective group, which are of special interest for computer vision. We classify the corresponding invariantflows and show that the geometric heat flow is the simplest possible one. Results on invariant geometric flows ofsurfaces are presented in this paper as well. We then show how the planar curve flow obtained for the affine groupcan be used for geometric smoothing of planar shapes and edge preserving enhancement of MRI. We concludethe paper with the presentation of an affine invariant geometric edge detector obtained from the classification ofaffine differential invariants.

Full Text

Duke Authors

Cited Authors

  • Sapiro, G

Published Date

  • October 25, 1994

Published In

Volume / Issue

  • 2277 /

Start / End Page

  • 275 - 287

Electronic International Standard Serial Number (EISSN)

  • 1996-756X

International Standard Serial Number (ISSN)

  • 0277-786X

Digital Object Identifier (DOI)

  • 10.1117/12.191890

Citation Source

  • Scopus