Citation: |
[1] | |
[2] |
A. Berlinet and C. Thomas, Reproducing kernel Hilbert spaces in Probability and Statistics, Kluwer Academic Publishers, 2004.doi: 10.1007/978-1-4419-9096-9. |
[3] |
N. Akhiezer and I. Glazman, Theory of Linear Operators in Hilbert Space, Dover Publications, 1993. |
[4] |
L. Alvarez, R. Deriche, T. Papadopoulo and J. Sanchez, Symmetrical dense optical flow estimation with occlusions detection, International Journal of Computer Vision, 75 (2007), 371-385.doi: 10.1007/s11263-007-0041-4. |
[5] |
N. Aronszajn, Theory of reproducing kernels, Transactions of the American mathematical society, 68 (1950), 337-404.doi: 10.1090/S0002-9947-1950-0051437-7. |
[6] |
N. Ayache, A. Guimond, A. Roche and J. Meunier, Three dimensional multimodal brain warping using the demons algorithm and adaptvie intensity correction, IEEE Trans. Med. Imag., 20 (2001), 58-69. |
[7] |
A. Bardera, M. Feixas, I. Boada and M. Sbert, High-dimensional normalized mutual information for image registration using random lines, WBIR, LNCS, Springer, 4057 (2006), 264-271.doi: 10.1007/11784012_32. |
[8] |
C. Broit, Optimal Registration of Deformed Images, PhD thesis, University of Pennsylvania, 1981. |
[9] |
R. Bajcsy and C. Broit, Matching of deformed images, Proc. Int. Conf. Pattern Recognition, (1982), 351-353. |
[10] |
R. Bajscy and S. Kovacic, Multiresolution elastic matching, Comput. Vision. Graph. Image Process, 46 (1989), 1-12. |
[11] |
R. Bajcsy, R. Lieberson and M. Reivich, A computerized system for the elastic matching of deformed radiographic images to idealized atlas images, Journal of Computer Assisted Tomogra-phy, 7 (1983), 618-625.doi: 10.1097/00004728-198308000-00008. |
[12] |
A. Bardera, M. Feixas and I. Boada, Normalized similarity measures for medical image registration, Proc. SPIE Medical Imaging SPIE, 5370 (2004), p108. |
[13] |
P. Cachier and X. Pennec, 3d non-rigid reigistration by gradient descent on a Gaussian window similarity measure using convolutions, IEEE workshop on mathematical methods in biomedical image analysis, (2000), 182-189.doi: 10.1109/MMBIA.2000.852376. |
[14] |
A. Collignon, F. Maes, D. Delaere, D. Vandermeulen, P. Suetens and G. Marchal, Automated multi-modality image registration based on information theory, Information Processing in Medical Imaging, (1995), 263-274 |
[15] |
A. Collignon, D. Vandermeulen, P. Suetens and G. Marchal, 3D multi-modality medical image registration using feature space clustering, Proceedings of the First International Conference on Computer Vision, Virtual Reality and Robotics in Medicine, (1995), 195-204. |
[16] |
H. M. Chan, A. C.S. Chung, S. C.H. Yu, A. Norbash and W. M. Wells III, Multi-modal image registration by minimizing Kullback-Leibler distance between expected and observed joint class histograms, IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2 (2003), p570. |
[17] |
A. C. S. Chung, W. M. Wells III, A. Norbash and W. E. L. Grimson, Multi-modal image registration by minimizing kullback-Leibler distance. International Conference on Medical Image Computing and Computer-Assisted Intervention, 2 (2002), 525-532. |
[18] |
T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley-Interscience, 2 edition, 2006. |
[19] |
P. T. Evenaz , M. Bierlaire and M. Unser, Halton sampling for image registration based on mutual information, Sampling Theory Signal Image Process, 7 (2008), 141-171. |
[20] |
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd Edition, Johns Hopkins University Press, 1996. |
[21] |
Y. Guo and C. Lu, Multi-modality image registration using mutual information based on gradient vector flow, 18th International Conference on Pattern Recognition (ICPR'06), 3 (2006), 697-700. |
[22] |
R. Gan, J. Wu, A. C. S. Chung, S. C. H. Yu and W. M. Wells III, Multiresolution image registration based on Kullback-Leibler distance, MICCAI, LNCS, Springer, 3216 (2004), 599-606.doi: 10.1007/978-3-540-30135-6_73. |
[23] |
C. Guetter, C. Xu, F. Sauer and J. Hornegger, Learning based non-rigid multi-modal image registration using Kullback-Leibler divergence, Lecture Notes in Computer Science, Springer Berlin / Heidelberg, 3750 (2005), 255-262.doi: 10.1007/11566489_32. |
[24] |
Y. He, A. B. Hamza and H. Krim, A generalized divergence measure for robust image registration, IEEE Transactions on Signal Processing, 51 (2003), 1211-1220.doi: 10.1109/TSP.2003.810305. |
[25] |
S. Henn and K. Witsch, Multimodal image registration using a variational approach, SIAM J. Sci. Comput., 25 (2003), 1429-1447.doi: 10.1137/S1064827502201424. |
[26] |
G. Hermosillo, C. C. Hotel and O. Faugeras, Variational methods for multimodal image matching, Int. J. Computer Vision, 50 (2002), 329-343. |
[27] |
D. Hill, P. Batchelor, M. Holden and D. Hawkes, Topical review: medical image registration, Physics in Medicine and Biology, 46 (2001), 1-45. |
[28] |
D. L. G. Hill, C. Studholme and D. J. Hawkes, Voxel similarity measures for automated image registration, Visualization in Biomedical Computing, SPIE Press, Bellingham, WA, 2359 (1994), 205-216. |
[29] |
B. Jian, B. Vemuri and J. Marroquin, Robust nonrigid multimodal image registration using local frequency maps. Proc. Inf. Process. Med. Imag., 3565 (2005), 504-515.doi: 10.1007/11505730_42. |
[30] |
L. R. Jorge, M. S. Juan and V. M. Rafael, Generalized regularization term for non-parametric multimodal image registration, Signal Processing, 87 (2007), 2837-2842. |
[31] |
S. Klein, M. Staring and J. P. W. Pluim, Evaluation of optimisation methods for nonrigid medical image registration using mutual information and B-splines, IEEE Trans. Image Process., 16 (2007), 2879-2890.doi: 10.1109/TIP.2007.909412. |
[32] |
M. Leventon and W. E. L. Grimson, Multi-modal volume registration using joint intensity distributions, Medical Image Computing and Computer-Assisted Interventation MICCAI98, Lecture Notes in Computer Science, 1496 (1998), 1057-1066.doi: 10.1007/BFb0056295. |
[33] |
B. Likar and F. Pernus, A hierarchical approach to elastic registration based on mutual information, Image and Vision Computing, 19 (2001), 33-44.doi: 10.1016/S0262-8856(00)00053-6. |
[34] |
T. Lu, P. Neittaanm and X. Tai, A parallel splitting up method and its application to Navier-Stokes equations, Applied Mathematics Letters, 4 (1991), 25-29.doi: 10.1016/0893-9659(91)90161-N. |
[35] |
F. Maes, A. Collignon, D. Vandermeulen, G. Marchal and P. Suetens, Multimodality image registration by maximization of mutual information, IEEE Trans Med Imaging, 16 (1997), 187-198.doi: 10.1109/42.563664. |
[36] |
F. Maes, D. Vandermeulen and P. Suetens, Comparative evaluation of multiresolution optimization strategies for multimodality image registration by maximization of mutual information, Medical image analysis, 3 (1999), 373-386.doi: 10.1016/S1361-8415(99)80030-9. |
[37] |
F. Maes, D. Vandermeulen and P. Suetens, Medical image registration using mutual information, Proc IEEE - special issue on emerging medical imaging technology, 91 (2003), 1699-1722.doi: 10.1109/JPROC.2003.817864. |
[38] |
M. Modat, G. R. Ridgway, Z. A. Taylor, D. J. Hawkes, N. C. Fox and S. Ourselin, A parallel-friendly normalized mutual information gradient for free-form registration, SPIE Medical Imaging: Image Processing, Proc. SPIE, 7259 (2009), 72590L.doi: 10.1117/12.811588. |
[39] |
J. P. W. Pluim, J. B. A. Maintz and M. A. Viergever, Mutual-information-based registration of medical images: A survey, IEEE Trans. Med. Imaging, 22 (2003), 986-1004.doi: 10.1109/TMI.2003.815867. |
[40] |
J. P. W. Pluim, J. B. A. Maintz and M. A. Viergever, f-Information measures in medical image registration, IEEE Trans. Med. Imaging, 23 (2004), 1508-1516. |
[41] |
A. Rényi, On measure of dependence, Acta Mathematica Academiae Scientiarum Hungaria, 10 (1959), 441-451.doi: 10.1007/BF02024507. |
[42] |
A. Roche, G. Malandain and N. Ayache, Unifying Maximum Likelihood Approaches in Medical Image Registration, International Journal of Imaging Systems and Technology, 11 (2000), 71-80.doi: 10.1002/(SICI)1098-1098(2000)11:1<71::AID-IMA8>3.3.CO;2-X. |
[43] |
A. Roche, G. Malandain, X. Pennec and N. Ayache, The Correlation Ratio as a New Similarity Measure for Multimodal Image Registration, MICCAI'98,Springer-Verlag Berlin Heidelberg, 1496 (1998), 1115-1124.doi: 10.1007/BFb0056301. |
[44] |
M. R. Sabuncu and P. Ramadge, Using spanning graphs for efficient image registration, IEEE Transactions on Image Processing, 17 (2008), 788-797.doi: 10.1109/TIP.2008.918951. |
[45] |
M. Seppa, Continuous sampling in mutual-information registration, IEEE Trans. Med. Imaging, 17 (2008), 823-826.doi: 10.1109/TIP.2008.920738. |
[46] |
C. Studholme, D. L. G. Hill and D. J. Hawkes, Multiresolution voxel similarity measures for MR-PET registration, Lecture Notes in Computer Science In Proceedings of Information Processing in Medical Imaging, 3 (1995), 287-298. |
[47] |
C. Studholme, D. L. G. Hill and D. J. Hawkes, An overlap invariant entropy measure of 3d medical image alignment, Pattern Recognition, 32 (1999), 71-86.doi: 10.1016/S0031-3203(98)00091-0. |
[48] |
B. Schélkopf, B. K. Sriperumbudur, A. Gretton and K. Fukumizu, RKHS Representation of Measures, In Learning Theory and Approximation Workshop, Oberwolfach, Germany, 2008. |
[49] |
P. Thevenaz, M. Bierlaire and M. Unser, Halton sampling for image registration based on mutual information, Sampling Theory Signal Image Process, 7 (2008), 141-171. |
[50] |
P. A. Viola and W. M. Wells III, Alignment by maximization of mutual information, Proceedings of International Conference on Computer Vision, (1995), 16-23.doi: 10.1109/ICCV.1995.466930. |
[51] |
P. Viola and W. Wells, Alignment by maximization of mutual information, International Journal of Computer Vision, 24 (1997), 137-154. |
[52] |
J. Weickert, B. M. H. Romeny and M. A. Viergever, Efficient and reliable schemes for nonlinear diffusioin filtering, IEEE Transactions on Image Processing, 7 (1998), 398-410. |
[53] |
Y. Weiss and D. Fleet, Velocity likelihoods in biological and machine vision, Probabilistic Models of the brain, MIT Press, (2002), 81-100. |
[54] |
W. M. Wells III, P. Viola, H. Atsumi, S. Nakajima and R. Kikinis, Multi-modal volume registration by maximizing mutual information, Medical Image Analysis, 1 (1996), 35-52. |
[55] |
Z. Zhang, Y. Jiang and H. Tsui, Consistent multi-modal non-rigid registration based on a variational approach, Pattern Recognit. Lett., 27 (2006), 715-725.doi: 10.1016/j.patrec.2005.10.018. |
[56] |
A. Zaanen, Linear Analysis, North Holland Publishing Co., 1960. |
[57] |
B. Zitova and J. Flusser, Image registration methods: A survey, Image and Vision Computing, 21 (2003), 977-1000.doi: 10.1016/S0262-8856(03)00137-9. |
[58] |
H. Zhang, Y. Chen and J. Shi, Nonparametric Image Segmentation Using Renyi's Statistical Dependence Measure, Journal of Mathematical Imaging and Vision, 44 (2012), 330-340.doi: 10.1007/s10851-012-0329-z. |
[59] |
L. Zölei, J. Fisher and W. M. Wells III, A Unified Statistical and Information Theoretic Framework for Multi-modal Image Registration, Information Processing in Medical Imaging, LNCS, 2732 (2003), 366-377. |