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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.
Citation:
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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