Feature-Preserving Flows: A Stochastic Differential Equation's View
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Evolution equations have proven to be useful in tracking fine to coarse features in a single level curve and/or in an im- age. In this paper, we give a stochastic insight to a specific evolution equation, namely the geometric heat equation, and subsequently use this insight to develop a class of feature- driven diffusions. A progressive smoothing along desired features of a level curve is aimed at overcoming effects of noisy environment during feature extraction and denoising applications.