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A variational setting for volume constrained image registration
1. | Departament de Tecnologia, Universitat Pompeu Fabra, Edificio Tánger, Tánger 122-140, 08018 Barcelona, Spain |
2. | Institute of Mathematics and Image Computing, Universität Lübeck, Wallstr. 40, 23560 Lübeck, Germany |
3. | Computational Science Center, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria |
[1] |
Dana Paquin, Doron Levy, Eduard Schreibmann, Lei Xing. Multiscale Image Registration. Mathematical Biosciences & Engineering, 2006, 3 (2) : 389-418. doi: 10.3934/mbe.2006.3.389 |
[2] |
Zhao Yi, Justin W. L. Wan. An inviscid model for nonrigid image registration. Inverse Problems and Imaging, 2011, 5 (1) : 263-284. doi: 10.3934/ipi.2011.5.263 |
[3] |
Mohamed Alahyane, Abdelilah Hakim, Amine Laghrib, Said Raghay. Fluid image registration using a finite volume scheme of the incompressible Navier Stokes equation. Inverse Problems and Imaging, 2018, 12 (5) : 1055-1081. doi: 10.3934/ipi.2018044 |
[4] |
Huan Han. A variational model with fractional-order regularization term arising in registration of diffusion tensor image. Inverse Problems and Imaging, 2018, 12 (6) : 1263-1291. doi: 10.3934/ipi.2018053 |
[5] |
Dana Paquin, Doron Levy, Lei Xing. Hybrid multiscale landmark and deformable image registration. Mathematical Biosciences & Engineering, 2007, 4 (4) : 711-737. doi: 10.3934/mbe.2007.4.711 |
[6] |
Marcus Wagner. A direct method for the solution of an optimal control problem arising from image registration. Numerical Algebra, Control and Optimization, 2012, 2 (3) : 487-510. doi: 10.3934/naco.2012.2.487 |
[7] |
Angel Angelov, Marcus Wagner. Multimodal image registration by elastic matching of edge sketches via optimal control. Journal of Industrial and Management Optimization, 2014, 10 (2) : 567-590. doi: 10.3934/jimo.2014.10.567 |
[8] |
Yangang Chen, Justin W. L. Wan. Numerical method for image registration model based on optimal mass transport. Inverse Problems and Imaging, 2018, 12 (2) : 401-432. doi: 10.3934/ipi.2018018 |
[9] |
Ho Law, Gary P. T. Choi, Ka Chun Lam, Lok Ming Lui. Quasiconformal model with CNN features for large deformation image registration. Inverse Problems and Imaging, , () : -. doi: 10.3934/ipi.2022010 |
[10] |
Kateřina Škardová, Tomáš Oberhuber, Jaroslav Tintěra, Radomír Chabiniok. Signed-distance function based non-rigid registration of image series with varying image intensity. Discrete and Continuous Dynamical Systems - S, 2021, 14 (3) : 1145-1160. doi: 10.3934/dcdss.2020386 |
[11] |
Yunmei Chen, Jiangli Shi, Murali Rao, Jin-Seop Lee. Deformable multi-modal image registration by maximizing Rényi's statistical dependence measure. Inverse Problems and Imaging, 2015, 9 (1) : 79-103. doi: 10.3934/ipi.2015.9.79 |
[12] |
Xiaojun Zheng, Zhongdan Huan, Jun Liu. On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration. Communications on Pure and Applied Analysis, , () : -. doi: 10.3934/cpaa.2022068 |
[13] |
Dana Paquin, Doron Levy, Lei Xing. Multiscale deformable registration of noisy medical images. Mathematical Biosciences & Engineering, 2008, 5 (1) : 125-144. doi: 10.3934/mbe.2008.5.125 |
[14] |
Yuan-Nan Young, Doron Levy. Registration-Based Morphing of Active Contours for Segmentation of CT Scans. Mathematical Biosciences & Engineering, 2005, 2 (1) : 79-96. doi: 10.3934/mbe.2005.2.79 |
[15] |
Denis Gaidashev, Tomas Johnson. Spectral properties of renormalization for area-preserving maps. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 3651-3675. doi: 10.3934/dcds.2016.36.3651 |
[16] |
Simion Filip. Tropical dynamics of area-preserving maps. Journal of Modern Dynamics, 2019, 14: 179-226. doi: 10.3934/jmd.2019007 |
[17] |
Huiyan Xue, Antonella Zanna. Generating functions and volume preserving mappings. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 1229-1249. doi: 10.3934/dcds.2014.34.1229 |
[18] |
Luca Bertelli, Frédéric Gibou. Fast two dimensional to three dimensional registration of fluoroscopy and CT-scans using Octrees on segmentation maps. Mathematical Biosciences & Engineering, 2012, 9 (3) : 527-537. doi: 10.3934/mbe.2012.9.527 |
[19] |
Anis Theljani, Ke Chen. An augmented lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registration. Inverse Problems and Imaging, 2019, 13 (2) : 309-335. doi: 10.3934/ipi.2019016 |
[20] |
H. E. Lomelí, J. D. Meiss. Generating forms for exact volume-preserving maps. Discrete and Continuous Dynamical Systems - S, 2009, 2 (2) : 361-377. doi: 10.3934/dcdss.2009.2.361 |
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