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2011 | OriginalPaper | Chapter

On the Stability and Convergence Rate of Some Discretized Schemes for Parametric Deformable Models Used in Medical Image Analysis

Authors : A. I. Mitrea, O. M. Gurzau, P. Mitrea

Published in: International Conference on Advancements of Medicine and Health Care through Technology

Publisher: Springer Berlin Heidelberg

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In order to find the energy-minimizing surface and to reduce the computational requirements, we consider an associated simplified model, [1], and we derive an algorithm for solving numerically the corresponding Euler-Gauss-Ostrogradsky equation of Calculus of Variations. The stability and the convergence of the algorithm are discussed, together with some aspects regarding the statistical modeling, applied in medical imaging.

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Metadata
Title
On the Stability and Convergence Rate of Some Discretized Schemes for Parametric Deformable Models Used in Medical Image Analysis
Authors
A. I. Mitrea
O. M. Gurzau
P. Mitrea
Copyright Year
2011
Publisher
Springer Berlin Heidelberg
Book
International Conference on Advancements of Medicine and Health Care through Technology

Print ISBN: 978-3-642-22585-7

Electronic ISBN: 978-3-642-22586-4

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-3-642-22586-4_46