Iterative methods for anisotropic diffusion of speckled medical images

Clovis Tauber, Pierre Spiteri, Hadj Batatia

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1115-1130
Number of pages16
JournalApplied Numerical Mathematics
Volume60
Issue number11
DOIs
Publication statusPublished - Nov 2010

Keywords

  • Anisotropic diffusion
  • Boundary value problem
  • Conjugate gradient method
  • Iterative method
  • Large scale system
  • Nonlinear filtering
  • Relaxation method
  • Speckle
  • Ultrasound imaging

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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