Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images

Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images

This paper deals with ultrasound medical image processing, particularly to filter the noise while preserving the edges and structures of information. The mathematical processing consists in solving by a numerical way a nonlinear evolutive boundary value problem. Several numerical semi-implicit time...

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Veröffentlicht in:Numerical algorithms 2009-05, Vol.51 (1), p.85-114
Hauptverfasser: Chau, M., Tauber, C., Spiteri, P.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Boundary value problems
Computer Science
Convergence
Image filters
Image processing
Linear systems
Mathematical analysis
Mathematical models
Medical imaging
Numeric Computing
Numerical Analysis
Original Paper
Synchronous
Theory of Computation
Time marching
Ultrasound
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Beschreibung
Zusammenfassung:This paper deals with ultrasound medical image processing, particularly to filter the noise while preserving the edges and structures of information. The mathematical processing consists in solving by a numerical way a nonlinear evolutive boundary value problem. Several numerical semi-implicit time marching schemes are considered and analyzed. At each time step, parallel synchronous or asynchronous Schwarz alternating methods are used to solve the linear system and its convergence is studied. Lastly, the results of sequential and parallel simulations are presented.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-009-9272-5