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Formulating invariant heat-type curve flows

Publication ,  Journal Article
Sapiro, G; Tannenbaum, AR
Published in: Proceedings of SPIE - The International Society for Optical Engineering
January 1, 1993

We describe a geometric method for formulating planar curve evolution equations which are invariant under a certain transformation group. The approach is based on concepts from the classical theory of differential invariants. The flows we obtain are geometric analogues of the classical heat equation, and can be used to define invariant scale-spaces. We give a `high-level' general procedure for the construction of these flows. Examples are presented for viewing transformations.

Duke Scholars

Guillermo Sapiro
Author Guillermo Sapiro Electrical and Computer Engineering

Published In

Proceedings of SPIE - The International Society for Optical Engineering

ISSN

0277-786X

Publication Date

January 1, 1993

Volume

2031

Start / End Page

234 / 245

Related Subject Headings

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

Citation

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ICMJE
MLA
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Sapiro, G., & Tannenbaum, A. R. (1993). Formulating invariant heat-type curve flows. Proceedings of SPIE - The International Society for Optical Engineering, 2031, 234–245.
Sapiro, G., and A. R. Tannenbaum. “Formulating invariant heat-type curve flows.” Proceedings of SPIE - The International Society for Optical Engineering 2031 (January 1, 1993): 234–45.
Sapiro G, Tannenbaum AR. Formulating invariant heat-type curve flows. Proceedings of SPIE - The International Society for Optical Engineering. 1993 Jan 1;2031:234–45.
Sapiro, G., and A. R. Tannenbaum. “Formulating invariant heat-type curve flows.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 2031, Jan. 1993, pp. 234–45.
Sapiro G, Tannenbaum AR. Formulating invariant heat-type curve flows. Proceedings of SPIE - The International Society for Optical Engineering. 1993 Jan 1;2031:234–245.

Published In

Proceedings of SPIE - The International Society for Optical Engineering

ISSN

0277-786X

Publication Date

January 1, 1993

Volume

2031

Start / End Page

234 / 245

Related Subject Headings

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