A class of nonlinear diffusion equations with a power-law
dependence of the coefficient on the gradient is considered. Such
equations are used in the problem of suppressing image noise. The
mathematical properties of this class of equations are considered.
One of them ensures protection of image edges. Computational
results on noise elimination in real-life images are presented. The
book is intended for scientists and engineers working in
mathematical physics, differential equations, and image processing
and for college and university professors and postgraduate and
graduate students.
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