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<p><it>Abstract</it>—We show how optimization of the Nordström and Mumford-Shah functionals can be used to develop a type of curve-evolution that is able to preserve salient features of closed curves while simultaneously suppressing noise and irrelevant details. The idea is to characterize a curve by means of its angle-function and apply the appropriate dynamics to this representation. Upon convergence, the resulting form of the contour is reconstructed from the representation.</p>
Curve-evolution, Nordström-Wen diffusion, geometry-driven diffusion, Mumford-Shah functionals, shape, elasticae.
E.j. Pauwels, L.j. Van Gool, P. Fiddelaers, "Enhancement of Planar Shape Through Optimization of Functionals for Curves", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 17, no. , pp. 1101-1105, November 1995, doi:10.1109/34.473238
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