Efficient variational approaches for deformable registration of images

Mehmet Ali Akinlar, Muhammet Kurulay*, Aydin Secer, Mustafa Bayram

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Article number704567
JournalAbstract and Applied Analysis
Publication statusPublished - 2012
Externally publishedYes


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