Title of article
Solution of nonlinear diffusion appearing in image smoothing and edge detection Original Research Article
Author/Authors
Jozef Ka?ur، نويسنده , , Karol Mikula، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1995
Pages
13
From page
47
To page
59
Abstract
A numerical approximation of the nonlinear diffusion problem appearing in image processing is discussed. The mathematical model is proposed by Catté, Lions, Morel and Coll and represents an improvement of the original model of Perona and Malik. The scheme is linear, based on Rotheʹs approximation in time and on the finite element approach in space. The approximating solutions converge strongly in C(I, L2)∩L2(I, V) space to the variational solution.
Keywords
Image smoothing , Linearization , Full discretization scheme , Edge detection , Nonlinear diffusion equations
Journal title
Applied Numerical Mathematics
Serial Year
1995
Journal title
Applied Numerical Mathematics
Record number
941853
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