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

Alexandru I. Mitrea | Zendy; Radu Badea | Zendy; Delia Mitrea | Zendy; Sergiu Nedevschi | Zendy; Paulina Mitrea | Zendy; Mircea Ivan | Zendy; Octavian Mircia Gurzău | Zendy

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

Author(s) -

Alexandru I. Mitrea,

Radu Badea,

Delia Mitrea,

Sergiu Nedevschi,

Paulina Mitrea,

Mircea Ivan,

Octavian Mircia Gurzău

Publication year - 2012

Publication title -

computational and mathematical methods in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.462

H-Index - 48

eISSN - 1748-6718

pISSN - 1748-670X

DOI - 10.1155/2012/918510

Subject(s) - parametric statistics , convergence (economics) , mathematical optimization , computer science , iterative method , consistency (knowledge bases) , stability (learning theory) , algorithm , energy (signal processing) , mathematics , artificial intelligence , statistics , machine learning , economics , economic growth

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.

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