Abstract
AbstractNonlinear diffusions have successfully been employed to perform a variety of tasks in image processing. In the context of denoising, the Perona‐Malik equation is a particularly successful example. In spite of its cherished qualities, it is mathematically ill‐posed and has some practical short‐comings. In this short paper a new nonlocal nonlinear diffusion is reported upon, which is globally well‐posed and shares with Perona‐Malik all its qualities even improving on its weaknesses. It can be viewed as a new kind of regularization. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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