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Efficient Variational Approaches for Deformable Registration of Images

Author

Listed:
  • Mehmet Ali Akinlar
  • Muhammet Kurulay
  • Aydin Secer
  • Mustafa Bayram

Abstract

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.

Suggested Citation

  • Mehmet Ali Akinlar & Muhammet Kurulay & Aydin Secer & Mustafa Bayram, 2012. "Efficient Variational Approaches for Deformable Registration of Images," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:704567
    DOI: 10.1155/2012/704567
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    References listed on IDEAS

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    1. Juhong Kuang, 2012. "Variational Approach to Quasi-Periodic Solution of Nonautonomous Second-Order Hamiltonian Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, February.
    2. Juhong Kuang, 2012. "Variational Approach to Quasi‐Periodic Solution of Nonautonomous Second‐Order Hamiltonian Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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