Numerical Solution of Diffusion Models in Biomedical Imaging on Multicore Processors. (10th October 2011)

• Record Type: Journal Article
• Authors: D'Amore, Luisa; Casaburi, Daniela; Marcellino, Livia; Murli, Almerico
• Other Names: Abd-Elmoniem Khaled Z. Academic Editor.
• Is Part Of: International journal of biomedical imaging. Volume 2011(2011)
• Publication Date: 2011-10-10
• Subjects: Diagnostic imaging -- Periodicals; Imaging systems in medicine -- Periodicals; Imagerie pour le diagnostic; Imagerie médicale; Diagnostic imaging; Imaging systems in medicine; Diagnostic Imaging -- Periodicals; Electronic journals; Periodicals; 616.0754
• DOI: 10.1155/2011/680765
• Languages: English
• ISSNs: 1687-4188

Abstract

Abstract : In this paper, we consider nonlinear partial differential equations (PDEs) of diffusion/advection type underlying most problems in image analysis. As case study, we address the segmentation of medical structures. We perform a comparative study of numerical algorithms arising from using the semi-implicit and the fully implicit discretization schemes. Comparison criteria take into account both the accuracy and the efficiency of the algorithms. As measure of accuracy, we consider the Hausdorff distance and the residuals of numerical solvers, while as measure of efficiency we consider convergence history, execution time, speedup, and parallel efficiency. This analysis is carried out in a multicore-based parallel computing environment.