A degenerate parabolic equation arising in image processing
نویسنده
چکیده
We prove here an existence result for solutions for a parabolic equation, with non local coefficients arising in image processing. An image is a bounded function u : D → R defined on a rectangular region D. If the function u is not regular, the image is noisy and it is not possible to use it directly in applications, but is necessary to smooth it by means of a nonlinear evolution problem, with Neumann boundary data. To this end different model have been proposed. Perona and Malik proposed in [PM] the following anisotropic diffusion model:
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