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Enhancement of Planar Shape Through Optimization of Functionals for Curves
November 1995 (vol. 17 no. 11)
pp. 1101-1105

Abstract—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.

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Index Terms:
Curve-evolution, Nordström-Wen diffusion, geometry-driven diffusion, Mumford-Shah functionals, shape, elasticae.
E.j. Pauwels, P. Fiddelaers, L.j. Van Gool, "Enhancement of Planar Shape Through Optimization of Functionals for Curves," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 11, pp. 1101-1105, Nov. 1995, doi:10.1109/34.473238
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