Efficient Variational Approaches for Deformable Registration of Images
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 equatio...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/704567 |
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| _version_ | 1832549143673831424 |
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| author | Mehmet Ali Akinlar Muhammet Kurulay Aydin Secer Mustafa Bayram |
| author_facet | Mehmet Ali Akinlar Muhammet Kurulay Aydin Secer Mustafa Bayram |
| author_sort | Mehmet Ali Akinlar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0e628ef366a04d339d93de5db5df596a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e628ef366a04d339d93de5db5df596a2025-02-03T06:12:07ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/704567704567Efficient Variational Approaches for Deformable Registration of ImagesMehmet Ali Akinlar0Muhammet Kurulay1Aydin Secer2Mustafa Bayram3Department of Mathematics, Bilecik Seyh Edebali University, 11210 Bilecik, TurkeyDepartment of Mathematics, Yildiz Technical University, 34220 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, 34220 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, 34220 Istanbul, TurkeyDirichlet, 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.http://dx.doi.org/10.1155/2012/704567 |
| spellingShingle | Mehmet Ali Akinlar Muhammet Kurulay Aydin Secer Mustafa Bayram Efficient Variational Approaches for Deformable Registration of Images Abstract and Applied Analysis |
| title | Efficient Variational Approaches for Deformable Registration of Images |
| title_full | Efficient Variational Approaches for Deformable Registration of Images |
| title_fullStr | Efficient Variational Approaches for Deformable Registration of Images |
| title_full_unstemmed | Efficient Variational Approaches for Deformable Registration of Images |
| title_short | Efficient Variational Approaches for Deformable Registration of Images |
| title_sort | efficient variational approaches for deformable registration of images |
| url | http://dx.doi.org/10.1155/2012/704567 |
| work_keys_str_mv | AT mehmetaliakinlar efficientvariationalapproachesfordeformableregistrationofimages AT muhammetkurulay efficientvariationalapproachesfordeformableregistrationofimages AT aydinsecer efficientvariationalapproachesfordeformableregistrationofimages AT mustafabayram efficientvariationalapproachesfordeformableregistrationofimages |