A new well-posed nonlinear nonlocal diffusion

نویسنده

  • Patrick Guidotti
چکیده

Nonlinear 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 locally 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.

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تاریخ انتشار 2007