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. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
A Semi-Lagrangian approximation for the AMSS model of image processing / Carlini, Elisabetta; Roberto, Ferretti. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - ELETTRONICO. - 73:(2013), pp. 16-32. [10.1016/j.apnum.2012.07.003]
A Semi-Lagrangian approximation for the AMSS model of image processing
CARLINI, Elisabetta;
2013
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. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
