Iterative Methods for Obtaining Energy-Minimizing Parametric Snakes with Applications to Medical Imaging

作者:Mitrea Alexandru Ioan; Badea Radu; Mitrea Delia*; Nedevschi Sergiu; Mitrea Paulina; Ivan Dumitru Mircea; Gurzau Octavian Mircia
来源:Computational and Mathematical Methods in Medicine, 2012, 918510.
DOI:10.1155/2012/918510

摘要

After a brief survey on the parametric deformable models, we develop an iterative method based on the finite difference schemes in order to obtain energy-minimizing snakes. We estimate the approximation error, the residue, and the truncature error related to the corresponding algorithm, then we discuss its convergence, consistency, and stability. Some aspects regarding the prosthetic sugical methods that implement the above numerical methods are also pointed out.