Formulating invariant heat-type curve flows

Guillermo Sapiro; Allen R. Tannenbaum

doi:10.1117/12.146629

23 June 1993 Formulating invariant heat-type curve flows

Guillermo Sapiro, Allen R. Tannenbaum

Proceedings Volume 2031, Geometric Methods in Computer Vision II; (1993) https://doi.org/10.1117/12.146629
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Guillermo Sapiro and Allen R. Tannenbaum "Formulating invariant heat-type curve flows", Proc. SPIE 2031, Geometric Methods in Computer Vision II, (23 June 1993); https://doi.org/10.1117/12.146629

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