Math @ Duke

Publications [#264874] of Guillermo Sapiro
Papers Published
 Sapiro, G; Tannenbaum, AR, Formulating invariant heattype curve flows,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 2031
(January, 1993),
pp. 234245, SPIE [doi]
(last updated on 2019/06/24)
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 scalespaces. We give a `highlevel' general procedure for the construction of these flows. Examples are presented for viewing transformations.


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