A bayesian approach to nonlinear diffusion based on a laplacian prior for ideal image gradient (original) (raw)

2005

Abstract

Abstract We study the relationships between diffusivity functions in a nonlinear diffusion scheme and probabilities of edge presence under a marginal prior on ideal, noise-free image gradient. In particular we impose a Laplacian-shaped prior for the ideal gradient and we define the diffusivity function explicitly in terms of edge probabilities under this prior. The resulting diffusivity function has no free parameters to optimize. Our results demonstrate that the new diffusivity function, automatically, ie, without any parameter adjustments, satisfies ...

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