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.

Carlini, E., Ferretti, R. (2013). A Semi-Lagrangian approximation for the AMSS model of image processing. APPLIED NUMERICAL MATHEMATICS, 73, 16-32 [10.1016/j.apnum.2012.07.003].

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

FERRETTI, Roberto
2013-01-01

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.
Carlini, E., Ferretti, R. (2013). A Semi-Lagrangian approximation for the AMSS model of image processing. APPLIED NUMERICAL MATHEMATICS, 73, 16-32 [10.1016/j.apnum.2012.07.003].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/136462
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