A Cahn-Hilliard equation with non-homogeneous mobility and its application to image processing
We propose a Cahn-Hilliard type model with a mobility coefficient depending on the position in the reference domain; such a model, which also seems to have a physical motivation in problems of phase separation theory, can be applied to the detection of contours in image processing, since it is able to generate noise filtering and smoothing effects in planar curve evolution with long-time accordance with the initial data. We discuss the theoretical validation of this approach, together with the results of numerical experiments.
KeywordsFinite Element Approximation Mobility Coefficient Mobility Term Initial Front Double Obstacle
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