Iterative methods for anisotropic diffusion of speckled medical images

Authors:
Clovis Tauber;Pierre Spiteri;Hadj Batatia
Affiliations:
UMRS INSERM U930 - CNRS FRE 2448, Université François Rabelais, 2 boulevard Tonnellé, F-37044 Tours, France and Institut Pasteur, Quantitative Image Analysis Unit, URA CNRS 2582, 25 ...;IRIT - ENSEEIHT, UMR CNRS 5505, 2 rue Camichel, BP 7122, F-31071 Toulouse Cedex, France;IRIT - ENSEEIHT, UMR CNRS 5505, 2 rue Camichel, BP 7122, F-31071 Toulouse Cedex, France
Venue:
Applied Numerical Mathematics
Year:
2010

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Abstract

This paper deals with filtering multiplicative noise that corrupts ultrasound medical images. The aim is to increase their contrast, while preserving edges and structures. From a mathematical point of view, this requires solving numerically an evolutive nonlinear boundary value problem. Several discretization schemes are studied for the stationary problem as well as for the evolutive problem. The behavior of various iterative methods is analyzed when semi-implicit time marching schemes are used. Results of sequential simulations are presented.