A Semi-Lagrangian approximation for the AMSS model of image processing

Authors:
Elisabetta Carlini;Roberto Ferretti
Affiliations:
Dipartimento di Matematica, Sapienza Universití di Roma, P.le Aldo Moro, 2, I-00185 Roma, Italy;Dipartimento di Matematica, Universití di Roma Tre, L.go S. Leonardo Murialdo, 1, I-00146 Roma, Italy
Venue:
Applied Numerical Mathematics
Year:
2013

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Abstract

Among the various nonlinear image filtering techniques, the Affine Morphological Scale Space (AMSS) model is characterized by especially appealing theoretical properties. In this paper we propose a Semi-Lagrangian scheme to approximate the AMSS model, prove convergence of its monotone version and apply it to some typical problem of image filtering. We also carry out a comparison with the Level Lines Affine Shortening implementation of the AMSS model, as well as with other nonlinear filtering techniques, namely the Mean Curvature equation and the Perona-Malik model.