Shock Filtering in Matlab 1.0

Shock filters are based in the idea to apply locally either dilation or erosion process, depending on whether the pixel be-longs to the influence zone of a maximum or a minimum.The decision between dilation and erosion is made using the sign function (also called the signum) s in set {-1, 0, +1} based on the Laplace operator (Kramer-Bruckner, 1975).Applying this procedure produces a sharp discontinuity called shock at the borderline between two influence zones. This way, the final equation becomes u_t=sign(delta(u) .* |gradient(u)|.The resulting effect is basically enhancement/sharpening of the input image.F. Guichard, J. Morel; d-deDUA Note on Two Classical Shock Filters and Their Asymptoticsd-deDt; Michael Kerckhove (Ed.): Scale-Spaceand Morphology in Computer Vision, LNCS 2106, pp. 75-84; Springer, New York; 2001. G. Aubert, P. Kornprobst; d-deDUMathematical Problems in Image Processingd-deDt; Applied Mathematical Sciences 147; Springer, NewYork; 2002.J. Weickert Coherence-enhancing shock filters; In B. Michaelis, G. Krell (Eds.): Pattern Recognition. Lecture Notes in ComputerScience, Vol. 2781, Springer, Berlin, 1-8, 2003.

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	Asymptotics,  Computer,  Filters,  Kerckhove,  Michael,  Morphology,  Scalespace,  Springer,  Vision
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