A Note on Two Classical Enhancement Filters and Their Associated PDE's |
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Authors: | Guichard Frédéric Morel Jean-Michel |
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Affiliation: | (1) Poseidon-Technologies, 3 rue Nationale, 92100 Boulogne-Billancourt, France;(2) CMLA, ENS Cachan, Avenue Président Wilson, 91235 Cachan Cedex, France |
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Abstract: | We establish in 2D, the P.D.E. associated with a classical image enhancement filter, the Kramer operator and compare it with another classical shock filter, the Osher-Rudin filter. We show that each one corresponds to a non-flat mathematical morphology operator conditioned by a the sign of an edge detector. In the case of the Kramer operator, the equation is conditioned by the Canny edge detector while in the case of the original Rudin-Osher filter, the equation is conditioned by the sign of the Laplacian. |
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Keywords: | shock filters PDE enhancement filters deblurring filters |
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