Iterative methods for anisotropic diffusion of speckled medical images

Clovis Tauber; Pierre Spiteri; Hadj Batatia

doi:10.1016/j.apnum.2009.11.002

Iterative methods for anisotropic diffusion of speckled medical images

Clovis Tauber, Pierre Spiteri^*, Hadj Batatia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	1115-1130
Number of pages	16
Journal	Applied Numerical Mathematics
Volume	60
Issue number	11
DOIs	https://doi.org/10.1016/j.apnum.2009.11.002
Publication status	Published - 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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10.1016/j.apnum.2009.11.002

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title = "Iterative methods for anisotropic diffusion of speckled medical images",

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.",

keywords = "Anisotropic diffusion, Boundary value problem, Conjugate gradient method, Iterative method, Large scale system, Nonlinear filtering, Relaxation method, Speckle, Ultrasound imaging",

author = "Clovis Tauber and Pierre Spiteri and Hadj Batatia",

year = "2010",

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AU - Spiteri, Pierre

AU - Batatia, Hadj

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AB - 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.

KW - Anisotropic diffusion

KW - Boundary value problem

KW - Conjugate gradient method

KW - Iterative method

KW - Large scale system

KW - Nonlinear filtering

KW - Relaxation method

KW - Speckle

KW - Ultrasound imaging

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M3 - Article

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EP - 1130

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 11

ER -

Iterative methods for anisotropic diffusion of speckled medical images

Abstract

Keywords

ASJC Scopus subject areas

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