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

作者：Carlini Elisabetta^*; Ferretti Roberto

来源：Applied Numerical Mathematics, 2013, 73: 16-32.

DOI：10.1016/j.apnum.2012.07.003

• Affine Morphological Scale Space
• Image processing
• Level set methods
• Semi-Lagrangian schemes
• Convergence

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.

• 出版日期2013-11