{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T18:33:31Z","timestamp":1774722811825,"version":"3.50.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T00:00:00Z","timestamp":1526342400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T00:00:00Z","timestamp":1526342400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["5R01EB007688"],"award-info":[{"award-number":["5R01EB007688"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1054057"],"award-info":[{"award-number":["1054057"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Comput Vis"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s11263-018-1099-x","type":"journal-article","created":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T07:55:56Z","timestamp":1526370956000},"page":"61-73","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":44,"title":["Fast Diffeomorphic Image Registration via Fourier-Approximated Lie Algebras"],"prefix":"10.1007","volume":"127","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0457-3335","authenticated-orcid":false,"given":"Miaomiao","family":"Zhang","sequence":"first","affiliation":[]},{"given":"P. Thomas","family":"Fletcher","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,15]]},"reference":[{"key":"1099_CR1","doi-asserted-by":"publisher","first-page":"319","DOI":"10.5802\/aif.233","volume":"16","author":"VI Arnol\u2019d","year":"1966","unstructured":"Arnol\u2019d, V. I. (1966). Sur la g\u00e9om\u00e9trie diff\u00e9rentielle des groupes de Lie de dimension infinie et ses applications \u00e0 l\u2019hydrodynamique des fluides parfaits. Ann Inst Fourier, 16, 319\u2013361.","journal-title":"Ann Inst Fourier"},{"key":"1099_CR2","doi-asserted-by":"crossref","unstructured":"Arsigny, V., Commowick, O., Pennec, X., & Ayache, N. (2006). A log-Euclidean framework for statistics on diffeomorphisms. In Medical image computing and computer-assisted intervention\u2014MICCAI 2006, Springer (pp. 924\u2013931).","DOI":"10.1007\/11866565_113"},{"issue":"1","key":"1099_CR3","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.neuroimage.2007.07.007","volume":"38","author":"J Ashburner","year":"2007","unstructured":"Ashburner, J. (2007). A fast diffeomorphic image registration algorithm. Neuroimage, 38(1), 95\u2013113.","journal-title":"Neuroimage"},{"issue":"3","key":"1099_CR4","doi-asserted-by":"publisher","first-page":"954","DOI":"10.1016\/j.neuroimage.2010.12.049","volume":"55","author":"J Ashburner","year":"2011","unstructured":"Ashburner, J., & Friston, K. J. (2011). Diffeomorphic registration using geodesic shooting and Gauss\u2013Newton optimisation. NeuroImage, 55(3), 954\u2013967.","journal-title":"NeuroImage"},{"issue":"2","key":"1099_CR5","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1023\/B:VISI.0000043755.93987.aa","volume":"61","author":"M Beg","year":"2005","unstructured":"Beg, M., Miller, M., Trouv\u00e9, A., & Younes, L. (2005). Computing large deformation metric mappings via geodesic flows of diffeomorphisms. International Journal of Computer Vision, 61(2), 139\u2013157.","journal-title":"International Journal of Computer Vision"},{"key":"1099_CR6","unstructured":"Bullo, F. (1995). Invariant affine connections and controllability on Lie groups. Technical Report for Geometric Mechanics, California Institute of Technology."},{"issue":"10","key":"1099_CR7","doi-asserted-by":"publisher","first-page":"1435","DOI":"10.1109\/83.536892","volume":"5","author":"GE Christensen","year":"1996","unstructured":"Christensen, G. E., Rabbitt, R. D., & Miller, M. I. (1996). Deformable templates using large deformation kinematics. IEEE Transactions on Image Processing, 5(10), 1435\u20131447.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"3","key":"1099_CR8","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1090\/qam\/1632326","volume":"56","author":"P Dupuis","year":"1998","unstructured":"Dupuis, P., Grenander, U., & Miller, M. I. (1998). Variational problems on flows of diffeomorphisms for image matching. Quarterly of Applied Mathematics, 56(3), 587.","journal-title":"Quarterly of Applied Mathematics"},{"key":"1099_CR9","doi-asserted-by":"crossref","unstructured":"Durrleman, S., Prastawa, M., Gerig, G., & Joshi, S. (2011). Optimal data-driven sparse parameterization of diffeomorphisms for population analysis. In Information processing in medical imaging, Springer (pp. 123\u2013134).","DOI":"10.1007\/978-3-642-22092-0_11"},{"issue":"1\u20132","key":"1099_CR10","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1007\/s10851-013-0489-5","volume":"50","author":"J Hinkle","year":"2014","unstructured":"Hinkle, J., Fletcher, P. T., & Joshi, S. (2014). Intrinsic polynomials for regression on Riemannian manifolds. Journal of Mathematical Imaging and Vision, 50(1\u20132), 32\u201352.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"1099_CR11","doi-asserted-by":"crossref","unstructured":"Hromatka, M., Zhang, M., Fleishman, G. M., Gutman, B., Jahanshad, N., Thompson, P., & Fletcher, P. T. (2015). A hierarchical Bayesian model for multi-site diffeomorphic image atlases. In Medical image computing and computer-assisted intervention\u2014MICCAI 2015, Springer (pp. 372\u2013379).","DOI":"10.1007\/978-3-319-24571-3_45"},{"issue":"Supplement 1","key":"1099_CR12","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.neuroimage.2004.07.068","volume":"223","author":"S Joshi","year":"2004","unstructured":"Joshi, S., Davis, B., Jomier, M., & Gerig, G. (2004). Unbiased diffeomorphic atlas construction for computational anatomy. NeuroImage, 223(Supplement 1), 151\u2013160.","journal-title":"NeuroImage"},{"issue":"9","key":"1099_CR13","doi-asserted-by":"publisher","first-page":"1498","DOI":"10.1162\/jocn.2007.19.9.1498","volume":"19","author":"DS Marcus","year":"2007","unstructured":"Marcus, D. S., Wang, T. H., Parker, J., Csernansky, J. G., Morris, J. C., & Buckner, R. L. (2007). Open access series of imaging studies (OASIS): Cross-sectional mri data in young, middle aged, nondemented, and demented older adults. Journal of Cognitive Neuroscience, 19(9), 1498\u20131507.","journal-title":"Journal of Cognitive Neuroscience"},{"issue":"2","key":"1099_CR14","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1007\/s10851-005-3624-0","volume":"24","author":"MI Miller","year":"2006","unstructured":"Miller, M. I., Trouv\u00e9, A., & Younes, L. (2006). Geodesic shooting for computational anatomy. Journal of Mathematical Imaging and Vision, 24(2), 209\u2013228. \n                    https:\/\/doi.org\/10.1007\/s10851-005-3624-0\n                    \n                  .","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"1099_CR15","doi-asserted-by":"crossref","unstructured":"Niethammer, M., Huang, Y., & Vialard, F. X. (2011). Geodesic regression for image time-series. In International conference on medical image computing and computer-assisted intervention, Springer (pp. 655\u2013662).","DOI":"10.1007\/978-3-642-23629-7_80"},{"key":"1099_CR16","doi-asserted-by":"crossref","unstructured":"Singh, N., Hinkle, J., Joshi, S., & Fletcher, P. T. (2013). A vector momenta formulation of diffeomorphisms for improved geodesic regression and atlas construction. In International symposium on biomedial imaging (ISBI).","DOI":"10.1109\/ISBI.2013.6556700"},{"issue":"3","key":"1099_CR17","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1023\/A:1008001603737","volume":"28","author":"A Trouv\u00e9","year":"1998","unstructured":"Trouv\u00e9, A. (1998). Diffeomorphisms groups and pattern matching in image analysis. International Journal of Computer Vision, 28(3), 213\u2013221.","journal-title":"International Journal of Computer Vision"},{"key":"1099_CR18","doi-asserted-by":"publisher","first-page":"S161","DOI":"10.1016\/j.neuroimage.2004.07.023","volume":"23","author":"M Vaillant","year":"2004","unstructured":"Vaillant, M., Miller, M. I., Younes, L., & Trouv\u00e9, A. (2004). Statistics on diffeomorphisms via tangent space representations. NeuroImage, 23, S161\u2013S169.","journal-title":"NeuroImage"},{"issue":"1","key":"1099_CR19","doi-asserted-by":"publisher","first-page":"S61","DOI":"10.1016\/j.neuroimage.2008.10.040","volume":"45","author":"T Vercauteren","year":"2009","unstructured":"Vercauteren, T., Pennec, X., Perchant, A., & Ayache, N. (2009). Diffeomorphic demons: Efficient non-parametric image registration. NeuroImage, 45(1), S61\u2013S72.","journal-title":"NeuroImage"},{"issue":"2","key":"1099_CR20","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s11263-011-0481-8","volume":"97","author":"FX Vialard","year":"2012","unstructured":"Vialard, F. X., Risser, L., Rueckert, D., & Cotter, C. J. (2012). Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. International Journal of Computer Vision, 97(2), 229\u2013241.","journal-title":"International Journal of Computer Vision"},{"issue":"1S1","key":"1099_CR21","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.neuroimage.2008.10.050","volume":"45","author":"L Younes","year":"2009","unstructured":"Younes, L., Arrate, F., & Miller, M. (2009). Evolutions equations in computational anatomy. NeuroImage, 45(1S1), 40\u201350.","journal-title":"NeuroImage"},{"key":"1099_CR22","doi-asserted-by":"crossref","unstructured":"Zhang, M., & Fletcher, P. T. (2014). Bayesian principal geodesic analysis in diffeomorphic image registration. In Medical image computing and computer-assisted intervention\u2013MICCAI 2014, Springer (pp. 121\u2013128).","DOI":"10.1007\/978-3-319-10443-0_16"},{"key":"1099_CR23","doi-asserted-by":"crossref","unstructured":"Zhang, M., & Fletcher, P. T. (2015). Finite-dimensional Lie algebras for fast diffeomorphic image registration. In Information processing in medical imaging.","DOI":"10.1007\/978-3-319-19992-4_19"},{"key":"1099_CR24","doi-asserted-by":"crossref","unstructured":"Zhang, M., Liao, R., Dalca, A. V., Turk, E. A., Luo, J., Grant, P. E., & Golland, P. (2017). Frequency diffeomorphisms for efficient image registration. In International conference on information processing in medical imaging, Springer (pp. 559\u2013570).","DOI":"10.1007\/978-3-319-59050-9_44"},{"key":"1099_CR25","doi-asserted-by":"crossref","unstructured":"Zhang, M., Singh, N., & Fletcher, P. T. (2013). Bayesian estimation of regularization and atlas building in diffeomorphic image registration. J. C. Gee, S. Joshi, K. M. Pohl, W. M. Wells & L. Z\u00f6llei (Eds.), Information processing in medical imaging (pp. 37\u201348). Springer.","DOI":"10.1007\/978-3-642-38868-2_4"},{"key":"1099_CR26","doi-asserted-by":"crossref","unstructured":"Zhang, M., Wells\u00a0III, W. M., & Golland, P. (2016). Low-dimensional statistics of anatomical variability via compact representation of image deformations. In International conference on medical image computing and computer-assisted intervention, Springer (pp. 166\u2013173).","DOI":"10.1007\/978-3-319-46726-9_20"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11263-018-1099-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-018-1099-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-018-1099-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T07:21:32Z","timestamp":1589700092000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-018-1099-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,15]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["1099"],"URL":"https:\/\/doi.org\/10.1007\/s11263-018-1099-x","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,15]]},"assertion":[{"value":"27 October 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}