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 asmeasure of efficiency we consider convergence history, execution time, speedup, and parallel efficiency. This analysis is carried out in a multicore-based parallel computing environment.
Numerical Solution of Diffusion Models in Biomedical Imaging on Multicore Processors / D'Amore, Luisa; Casaburi, D.; Marcellino, L.; Murli, Almerico. - In: INTERNATIONAL JOURNAL OF BIOMEDICAL IMAGING. - ISSN 1687-4188. - 2011:(2011), pp. 1-16. [10.1155/2011/680765]
Numerical Solution of Diffusion Models in Biomedical Imaging on Multicore Processors
D'AMORE, LUISA;MURLI, ALMERICO
2011
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 asmeasure of efficiency we consider convergence history, execution time, speedup, and parallel efficiency. This analysis is carried out in a multicore-based parallel computing environment.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.