Open Access
2012 Efficient Variational Approaches for Deformable Registration of Images
Mehmet Ali Akinlar, Muhammet Kurulay, Aydin Secer, Mustafa Bayram
Abstr. Appl. Anal. 2012(SI18): 1-8 (2012). DOI: 10.1155/2012/704567


Dirichlet, anisotropic, and Huber regularization terms are presented for efficient registration of deformable images. Image registration, an ill-posed optimization problem, is solved using a gradient-descent-based method and some fundamental theorems in calculus of variations. Euler-Lagrange equations with homogeneous Neumann boundary conditions are obtained. These equations are discretized by multigrid and finite difference numerical techniques. The method is applied to the registration of brain MR images of size 65 × 65 . Computational results indicate that the presented method is quite fast and efficient in the registration of deformable medical images.


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Mehmet Ali Akinlar. Muhammet Kurulay. Aydin Secer. Mustafa Bayram. "Efficient Variational Approaches for Deformable Registration of Images." Abstr. Appl. Anal. 2012 (SI18) 1 - 8, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1246.94011
MathSciNet: MR2947711
Digital Object Identifier: 10.1155/2012/704567

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI18 • 2012
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