Feature-preserving flows: a stochastic differential equation's view
Evolution equations have proven to be useful in tracking fine to coarse features in a single level curve and/or in an image. 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.