Abstract
Geometric changes present a number of difficulties in deformable image registration. In this paper, we propose a global deformation framework to model geometric changes whilst promoting a smooth transformation between source and target images. To achieve this, we have developed an innovative model which significantly reduces the side effects of geometric changes in image registration, and thus improves the registration accuracy. Our key contribution is the introduction of a sparsity-inducing norm, which is typically L1 norm regularization targeting regions where geometric changes occur. This preserves the smoothness of global transformation by eliminating local transformation under different conditions. Numerical solutions are discussed and analyzed to guarantee the stability and fast convergence of our algorithm. To demonstrate the effectiveness and utility of this method, we evaluate it on both synthetic data and real data from traumatic brain injury (TBI). We show that the transformation estimated from our model is able to reconstruct the target image with lower instances of error than a standard elastic registration model.
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References
Bajcsy, R., Broit, C., 1982. Matching of deformed images. Proc. 6th Int. Conf. on Pattern Recognition, p.351–353.
Beck, A., Teboulle, M., 2008. A fast iterative shrinkagethresholding algorithm for linear inverse problems. SIAM J. Imag. Sci., 2(1):183–202. [doi:10.1137/080716542]
Beg, M.F., Miller, M.I., Trouvé, A., et al., 2005. Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis., 61(2):139–157. [doi:10.1023/B:VISI.0000043755.93987.aa]
Chambolle, A., 2004. An algorithm for total variation minimization and applications. J. Math. Imag. Vis., 20(1): 89–97. [doi:10.1023/B:JMIV.0000011325.36760.1e]
Christensen, G.E., Johnson, H.J., 2001. Consistent image registration. IEEE Trans. Med. Imag., 20(7):568–582. [doi:10.1109/42.932742]
Christensen, G.E., Rabbitt, R.D., Miller, M.I., 1996. Deformable templates using large deformation kinematics. IEEE Trans. Image Process., 5(10):1435–1447. [doi:10.1109/83.536892]
Hall, E.L., 1979. Computer Image Processing and Recognition. Academic Press, New York, USA.
Herbin, M., Venot, A., Devaux, J.Y., et al., 1989. Automated registration of dissimilar images: application to medical imagery. Comput. Vis. Graph. Image Process., 47(1): 77–88. [doi:10.1016/0734–189X(89)90055–8]
Hernandez, M., Olmos, S., Pennec, X., 2008. Comparing algorithms for diffeomorphic registration: stationary LDDMM and diffeomorphic demons. Proc. 2nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy, p.24–35.
Lucas, B.D., Kanade, T., 1981. An iterative image registration technique with an application to stereo vision. Proc. 7th Int. Joint Conf. on Artificial Intelligence, p.121–130.
Luck, J., Little, C., Hoff, W., 2000. Registration of range data using a hybrid simulated annealing and iterative closest point algorithm. Proc. IEEE Int. Conf. on Robotics and Automation, p.3739–3744. [doi:10.1109/ROBOT.2000.845314]
Niethammer, M., Hart, G.L., Pace, D.F., et al., 2011. Geometric metamorphosis. Proc. 14th Int. Conf. on Medical Image Computing and Computer-Assisted Intervention, p.639–646. [doi:10.1007/978–3-642–23629–7_78]
Richard, F.J.P., Samson, A.M.M., 2007. Metropolis-Hasting techniques for finite-element-based registration. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, p.1–6. [doi:10.1109/CVPR.2007.383422]
Rudin, L.I., Osher, S., Fatemi, E., 1992. Nonlinear total variation based noise removal algorithms. Phys. D, 60(1–4): 259–268. [doi:10.1016/0167–2789(92)90242-F]
Trouvé, A., Younes, L., 2005. Metamorphoses through Lie group action. Found. Comput. Math., 5(2):173–198. [doi:10.1007/s10208–004-0128-z]
Zhang, M., Singh, N., Fletcher, P.T., 2013. Bayesian estimation of regularization and atlas building in diffeomorphic image registration. Proc. 23rd Int. Conf. on Information Processing in Medical Imaging. p.37–48. [doi:10.1007/978–3-642–38868–2_4]
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ORCID: Bo ZHU, http://orcid.org/0000-0002-9801-2223
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Liu, Y., Zhu, B. Deformable image registration with geometric changes. Frontiers Inf Technol Electronic Eng 16, 829–837 (2015). https://doi.org/10.1631/FITEE.1500045
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DOI: https://doi.org/10.1631/FITEE.1500045