Enhancement of planar shape through optimization of functionals for curves

We show how optimization of the Nordstrom 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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