Iterative Methods for Obtaining Energy-Minimizing Parametric Snakes with Applications to Medical Imaging. (4th March 2012)

• Record Type: Journal Article
• Authors: Mitrea, Alexandru Ioan; Badea, Radu; Mitrea, Delia; Nedevschi, Sergiu; Mitrea, Paulina; Ivan, Dumitru Mircea; Gurzău, Octavian Mircia
• Other Names: Crisan Maria Academic Editor.
• Is Part Of: Computational and mathematical methods in medicine. Volume 2012(2012)
• Publication Date: 2012-03-04
• Subjects: Medicine -- Computer simulation -- Periodicals; Medicine -- Mathematical models -- Periodicals; 610.11
• DOI: 10.1155/2012/918510
• Languages: English
• ISSNs: 1748-670X

Abstract

Abstract : 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.