Abstract.
A mathematical model for a nonlinear image multiscale analysis is studied. Processing of an image is based on a solution of the strongly nonlinear parabolic partial differential equation, which can degenerate depending on values of the greylevel intensity function. The governing PDE is a generalization of the regularized (in the sense of Catté, Lions, Morel and Coll) Perona-Malik anisotropic diffusion equation. We present numerical techniques for solving the suggested initial-boundary value problem and also existence and convergence results. Numerical experiments are discussed.
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Received: 6 May 1998 / Accepted: 27 July 2000
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Kačur, J., Mikula, K. Slow and fast diffusion effects in image processing . Comput Visual Sci 3, 185–195 (2001). https://doi.org/10.1007/s007910000047
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DOI: https://doi.org/10.1007/s007910000047