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

Publication ,  Conference
Sapiro, G
Published in: Proceedings of SPIE - The International Society for Optical Engineering
October 25, 1994

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.

Duke Scholars

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

EISSN

1996-756X

ISSN

0277-786X

Publication Date

October 25, 1994

Volume

2277

Start / End Page

275 / 287

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
 

Citation

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MLA
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Sapiro, G. (1994). Geometric invariant signatures and flows: Classification and applications in image analysis. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 2277, pp. 275–287). https://doi.org/10.1117/12.191890
Sapiro, G. “Geometric invariant signatures and flows: Classification and applications in image analysis.” In Proceedings of SPIE - The International Society for Optical Engineering, 2277:275–87, 1994. https://doi.org/10.1117/12.191890.
Sapiro G. Geometric invariant signatures and flows: Classification and applications in image analysis. In: Proceedings of SPIE - The International Society for Optical Engineering. 1994. p. 275–87.
Sapiro, G. “Geometric invariant signatures and flows: Classification and applications in image analysis.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 2277, 1994, pp. 275–87. Scopus, doi:10.1117/12.191890.
Sapiro G. Geometric invariant signatures and flows: Classification and applications in image analysis. Proceedings of SPIE - The International Society for Optical Engineering. 1994. p. 275–287.

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

EISSN

1996-756X

ISSN

0277-786X

Publication Date

October 25, 1994

Volume

2277

Start / End Page

275 / 287

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering