title: Numerical solution of diffusion models in biomedical imaging on multicore processors.
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.
authors: University of Naples Federico II, Complesso Universitario M.S. Angelo, Via Cintia, 80126 Naples, Italy.
authors: Luisa
authors: L
authors: D'Amore
authors: Daniela
authors: D
authors: Casaburi
authors: Livia
authors: L
authors: Marcellino
authors: Almerico
authors: A
authors: Murli