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

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 disc...

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Bibliographic Details
Published in:Computational and mathematical methods in medicine 2012-01, Vol.2012 (2012), p.1-11
Main Authors: Badea, Radu, Mitrea, Alexandru Ioan, Mitrea, Delia, Nedevschi, Sergiu, Mitrea, Paulina, Ivan, Dumitru Mircea, Gurzău, Octavian Mircia
Format: Article
Language:English
Subjects:
Diagnostic Imaging - methods
Finite Element Analysis
Models, Theoretical
Prostheses and Implants
Software
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Summary: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.
ISSN:1748-670X
1748-6718
1748-6718
DOI:10.1155/2012/918510