{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T14:51:59Z","timestamp":1761663119974},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Comput Vis"],"published-print":{"date-parts":[[2013,9]]},"DOI":"10.1007\/s11263-012-0607-7","type":"journal-article","created":{"date-parts":[[2013,4,1]],"date-time":"2013-04-01T11:36:00Z","timestamp":1364816160000},"page":"286-314","source":"Crossref","is-referenced-by-count":95,"title":["A Variational Approach to Video Registration with Subspace Constraints"],"prefix":"10.1007","volume":"104","author":[{"given":"Ravi","family":"Garg","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasios","family":"Roussos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lourdes","family":"Agapito","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,4,2]]},"reference":[{"key":"607_CR1","unstructured":"Akhter, I., Sheikh, Y., Khan, S., & Kanade, T. (2008). Nonrigid structure from motion in trajectory space. In Neural Information Processing Systems, pp. 41\u201348."},{"issue":"7","key":"607_CR2","doi-asserted-by":"crossref","first-page":"1442","DOI":"10.1109\/TPAMI.2010.201","volume":"33","author":"I Akhter","year":"2011","unstructured":"Akhter, I., Sheikh, Y., Khan, S., & Kanade, T. (2011). Trajectory space: A dual representation for nonrigid structure from motion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 33(7), 1442\u20131456.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"607_CR3","unstructured":"Alvarez L., Esclar\u00edn J., Lef\u00e9bure M., S\u00e1nchez J. (1999). A PDE model for computing the optical flow. In Proceedings of the XVI Congreso de Ecuaciones Diferenciales y Aplicaciones (pp. 1349\u20131356). Las Palmas de Gran Canaria, Spain, Sept. 1999."},{"key":"607_CR4","doi-asserted-by":"crossref","unstructured":"Alvarez, L., Weickert, J., & S\u00e1nchez, J. (Aug. 2000). Reliable estimation of dense optical flow fields with large displacements. International Journal of Computer Vision, 39(1), 41\u201356.","DOI":"10.1023\/A:1008170101536"},{"issue":"1","key":"607_CR5","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1137\/S0036139998340170","volume":"60","author":"G Aubert","year":"1999","unstructured":"Aubert, G., Deriche, R., & Kornprobst, P. (1999). Computing optical flow via variational techniques. SIAM Journal on Applied Mathematics, 60(1), 156\u2013182.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"607_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11263-010-0390-2","volume":"92","author":"S Baker","year":"2011","unstructured":"Baker, S., Scharstein, D., Lewis, J., Roth, S., Black, M., & Szeliski, R. (2011). A database and evaluation methodology for optical flow. International Journal of Computer Vision, 92, 1\u201331.","journal-title":"International Journal of Computer Vision"},{"key":"607_CR7","doi-asserted-by":"crossref","unstructured":"Bartoli, A., Gay-Bellile, V., Castellani, U., Peyras, J., Olsen, S. I., & Sayd, P. (2008). Coarse-to-fine low-rank structure-from-motion. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 1\u20138.","DOI":"10.1109\/CVPR.2008.4587694"},{"key":"607_CR8","unstructured":"Blomgren, P., & Chan, T. (1998). Color TV: Total variation methods for restoration of vector-valued images. IEEE Transactioons on Image Processing, 7(3):304\u2013309, Special issue on partial differential equations and geometry-driven diffusion in image processing and analysis."},{"key":"607_CR9","doi-asserted-by":"crossref","unstructured":"Brand, M. (2001). Morphable models from video. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 456\u2013463.","DOI":"10.1109\/CVPR.2001.990997"},{"key":"607_CR10","doi-asserted-by":"crossref","unstructured":"Bregler, C., Hertzmann, A., & Biermann, H. (2000). Recovering non-rigid 3D shape from image streams. In IEEE Conference on Computer Vision and Pattern Recognition, Vol. 2, pp. 690\u2013696.","DOI":"10.1109\/CVPR.2000.854941"},{"key":"607_CR11","unstructured":"Brox, T., Bruhn, A., Papenberg, N., & Weickert, J. (2004). High accuracy optical flow estimation based on a theory for warping. In T. Pajdla & J. Matas (Eds.), European Conference on Computer Vision\u2014ECCV 2004 (pp. 25\u201336). Part IV, volume 3024 of LNCS Berlin: Springer."},{"key":"607_CR12","doi-asserted-by":"crossref","unstructured":"Brox, T., & Malik, J. (2011). Large displacement optical flow: Descriptor matching in variational motion estimation. IEEE Transactions on Pattern Aanalysis and Machine Intelligencea, 33(3), 500\u2013513.","DOI":"10.1109\/TPAMI.2010.143"},{"key":"607_CR13","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011320.81911.38","volume":"20","author":"A Chambolle","year":"2004","unstructured":"Chambolle, A. (2004). An algorithm for total variation minimization and applications. Journal of Mathematical Imaging and Vision, 20, 89\u201397.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"607_CR14","doi-asserted-by":"crossref","unstructured":"Chambolle, A., & Pock, T. (2011). A first-order primal-dual algorithm for convex problems with applications to imaging. Journal of Mathematical Imaging and Vision, 40(1), 120\u2013145.","DOI":"10.1007\/s10851-010-0251-1"},{"key":"607_CR15","unstructured":"Deriche, R., Kornprobst, P., & Aubert, G. (1995). Optical-flow estimation while preserving its discontinuities: A variational approach. In Proceedings of the Second Asian Conference on Computer Vision (Vol. 2, pp. 290\u2013295). Singapore, Dec. 1995."},{"issue":"4","key":"607_CR16","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1137\/09076934X","volume":"3","author":"E Esser","year":"2010","unstructured":"Esser, E., Zhang, X., & Chan, T. F. (2010). A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. SIAM Journal on Imaging Sciences, 3(4), 1015\u20131046.","journal-title":"SIAM Journal on Imaging Sciences"},{"key":"607_CR17","unstructured":"Garg, R., Pizarro, L., Rueckert, D., & Agapito, L. (2010). Dense multi-frame optic flow for non-rigid objects using subspace constraints. In Asian Conference on Computer Vision, pp. 460\u2013473."},{"key":"607_CR18","doi-asserted-by":"crossref","unstructured":"Garg, R., Roussos, A., & Agapito, L. (2011). Robust trajectory-space TV-L1 optical flow for non-rigid sequences. In 8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), pp. 300\u2013314.","DOI":"10.1007\/978-3-642-23094-3_22"},{"key":"607_CR19","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0004-3702(81)90024-2","volume":"17","author":"B Horn","year":"1981","unstructured":"Horn, B., & Schunck, B. (1981). Determining optical flow. Artificial Intelligence, 17, 185\u2013203.","journal-title":"Artificial Intelligence"},{"key":"607_CR20","doi-asserted-by":"crossref","unstructured":"Irani, M. (2002). Multi-frame correspondence estimation using subspace constraints. International Journal of Computer Vision, 48(3), 173\u2013194.","DOI":"10.1023\/A:1016372015744"},{"key":"607_CR21","doi-asserted-by":"crossref","unstructured":"Kumar, A., Tannenbaum, A. R., & Balas, G. J. (Apr. 1996). Optic flow: A curve evolution approach. IEEE Transactions on Image Processing, 5(4), 598\u2013610.","DOI":"10.1109\/83.491336"},{"key":"607_CR22","doi-asserted-by":"crossref","unstructured":"Liu, C., Yuen, J., & Torralba, A. (2011). SIFT flow: Dense correspondence across scenes and its applications. In IEEE Transational on Pattern Analysis and Machins Intelligence, 33(5), 978\u2013994.","DOI":"10.1109\/TPAMI.2010.147"},{"key":"607_CR23","unstructured":"Lucas, B., & Kanade, T. (1981). An iterative image registration technique with an application to stereo vision. In International Joint Conference on Artificial Intelligence."},{"key":"607_CR24","doi-asserted-by":"crossref","unstructured":"Newcombe, R., Lovegrove, S., & Davison, A. (2011). DTAM: Dense tracking and mapping in real-time. In International Conference on Computer Vision, pp. 2320\u20132327.","DOI":"10.1109\/ICCV.2011.6126513"},{"key":"607_CR25","doi-asserted-by":"crossref","unstructured":"Nir, T., Bruckstein, A. M., & Kimmel, R. (February 2008). Over-parameterized variational optical flow. International Journal of Computer Vision, 76, 205\u2013216.","DOI":"10.1007\/s11263-007-0051-2"},{"key":"607_CR26","doi-asserted-by":"crossref","unstructured":"Papadakis, N., Corpetti, T., & M\u00e9min, E. (2007). Dynamically consistent optical flow estimation. In ICCV (pp. 1\u20137). Rio de Janeiro, Brazil, October 2007.","DOI":"10.1109\/ICCV.2007.4408889"},{"key":"607_CR27","doi-asserted-by":"crossref","unstructured":"Papenberg, N., Bruhn, A., Brox, T., Didas, S., & Weickert, J. (Apr. 2006). Highly accurate optic flow computation with theoretically justified warping. International Journal of Computer Vision, 67(2), 141\u2013158.","DOI":"10.1007\/s11263-005-3960-y"},{"key":"607_CR28","unstructured":"Pizarro, D., & Bartoli, A. (2010). Feature-based deformable surface detection with self-occlusion reasoning. In International symposium on 3D data processing, visualization and transmission, 3DPVT\u201910."},{"key":"607_CR29","doi-asserted-by":"crossref","unstructured":"Pock, T., & Chambolle, A. (2011). Diagonal preconditioning for first order primal-dual algorithms in convex optimization. In International Conference on Computer Vision, pp. 1762\u20131769.","DOI":"10.1109\/ICCV.2011.6126441"},{"key":"607_CR30","doi-asserted-by":"crossref","unstructured":"Pock, T., Cremers, D., Bischof, H., & Chambolle, A. (2010). Global solutions of variational models with convex regularization. SIAM Journal on Imaging Sciences, 3(4), 1122\u20131145.","DOI":"10.1137\/090757617"},{"key":"607_CR31","unstructured":"Rak\u00eat, L. L., Roholm, L., Nielsen, M., & Lauze, F. (2011). TV-L1 optical flow for vector valued images. In 8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), pp. 329\u2013343."},{"key":"607_CR32","doi-asserted-by":"crossref","unstructured":"Ricco, S., & Tomasi, C. (2012). Dense lagrangian motion estimation with occlusions. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 1800\u20131807.","DOI":"10.1109\/CVPR.2012.6247877"},{"key":"607_CR33","unstructured":"Rockafellar, R. T. (1997). Convex analysis. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997. Reprint of the 1970 original, Princeton Paperbacks."},{"key":"607_CR34","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D, 60, 259\u2013268.","journal-title":"Physica D"},{"key":"607_CR35","doi-asserted-by":"crossref","unstructured":"Sapiro, G. (1997). Color snakes. Computer Vision and Image Understanding, 68(2), 247\u2013253.","DOI":"10.1006\/cviu.1997.0562"},{"key":"607_CR36","doi-asserted-by":"crossref","unstructured":"Schn\u00f6rr, C. (1994). Segmentation of visual motion by minimizing convex non-quadratic functionals. In Proceedings of the twelfth international conference on pattern recognition (Vol. A, pp. 661\u2013663). Jerusalem, Israel, Oct. 1994. IEEE Computer Society Press.","DOI":"10.1109\/ICPR.1994.576391"},{"key":"607_CR37","unstructured":"Shi, J., & Tomasi, C. (1994). Good features to track. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 593\u2013600."},{"key":"607_CR38","unstructured":"Steinbruecker, F., Pock, T., & Cremers, D. (2009). Large displacement optical flow computation without warping. In International Conference on Computer Vision, pp. 1609\u20131614."},{"key":"607_CR39","doi-asserted-by":"crossref","unstructured":"Stuehmer, J., Gumhold, S., & Cremers, D. (2010). Real-time dense geometry from a handheld camera. In Pattern recognition (Proc. DAGM) (pp. 11\u201320), September 2010.","DOI":"10.1007\/978-3-642-15986-2_2"},{"key":"607_CR40","doi-asserted-by":"crossref","unstructured":"Sun, D., Roth, S., Lewis, J. P., & Black, M. (2008). Learning optical flow. In European Conference on Computer Vision, pp. 83\u201397.","DOI":"10.1007\/978-3-540-88690-7_7"},{"key":"607_CR41","doi-asserted-by":"crossref","unstructured":"Tian, Y., & Narasimhan, S. (2010). A globally optimal data-driven approach for image distortion estimation. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 1277\u20131284.","DOI":"10.1109\/CVPR.2010.5539822"},{"key":"607_CR42","doi-asserted-by":"crossref","unstructured":"Torresani, L., & Bregler, C. (2002). Space-time tracking. In European Conference on Computer Vision, pp. 801\u2013812.","DOI":"10.1007\/3-540-47969-4_53"},{"key":"607_CR43","doi-asserted-by":"crossref","unstructured":"Torresani, L., Hertzmann, A., & Bregler, C. (2008). Non-rigid structure-from-motion: Estimating shape and motion with hierarchical priors. PAMI, 30(5), 878\u2013892.","DOI":"10.1109\/TPAMI.2007.70752"},{"key":"607_CR44","doi-asserted-by":"crossref","unstructured":"Torresani, L., Yang, D., Alexander, E., & Bregler, C. (2001). Tracking and modeling non-rigid objects with rank constraints. In IEEE Conference on Computer Vision and Pattern Recognition, pp. 493\u2013500.","DOI":"10.1109\/CVPR.2001.990515"},{"issue":"4","key":"607_CR45","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1109\/TPAMI.2005.87","volume":"27","author":"D Tschumperl\u00e9","year":"2005","unstructured":"Tschumperl\u00e9, D., & Deriche, R. (2005). Vector-valued image regularization with PDE\u2019s: A common framework for different applications. IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(4), 506\u2013517.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"607_CR46","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/BF00202895","volume":"60","author":"S Uras","year":"1988","unstructured":"Uras, S., Girosi, F., Verri, A., & Torre, V. (1988). A computational approach to motion perception. Biological Cybernetics, 60, 79\u201387.","journal-title":"Biological Cybernetics"},{"key":"607_CR47","doi-asserted-by":"crossref","unstructured":"Varol, A., Salzmann, M., Tola, E., & Fua, P. (2009). Template-free monocular reconstruction of deformable surfaces. In International Conference on Computer Vision, pp. 1811\u20131818.","DOI":"10.1109\/ICCV.2009.5459403"},{"key":"607_CR48","doi-asserted-by":"crossref","unstructured":"Volz, S., Bruhn, A., Valgaerts, L., & Zimmer, H. (2011). Modeling temporal coherence for optical flow. In International Conference on Computer Vision, pp. 1116\u20131123.","DOI":"10.1109\/ICCV.2011.6126359"},{"key":"607_CR49","doi-asserted-by":"crossref","unstructured":"Wedel, A., Cremers, D., Pock, T., & Bischof, H. (2009). Structure- and motion-adaptive regularization for high accuracy optic flow. In International Conference on Computer Vision, pp. 1663\u20131668.","DOI":"10.1109\/ICCV.2009.5459375"},{"key":"607_CR50","doi-asserted-by":"crossref","unstructured":"Wedel, A., Pock, T., Braun, J., Franke, U., & Cremers, D. (2008). Duality TV-L1 flow with fundamental matrix prior. In Image and Vision Computing New Zealand, pp. 1\u20136.","DOI":"10.1109\/IVCNZ.2008.4762119"},{"key":"607_CR51","doi-asserted-by":"crossref","unstructured":"Wedel, A., Pock, T., Zach, C., Bischof, H., & Cremers, D. (2009). An improved algorithm for TV-L1 optical flow. In Statistical and geometrical approaches to visual motion analysis, LNCS (pp. 23\u201345). Springer, Berlin.","DOI":"10.1007\/978-3-642-03061-1_2"},{"key":"607_CR52","unstructured":"Weickert, J. (1998). On discontinuity-preserving optic flow. In S. Orphanoudakis, P. Trahanias, J. Crowley, & N. Katevas (Eds.), Proceedings of the computer vision and mobile robotics workshop (pp. 115\u2013122). Santorini, Greece, Sept 1998."},{"key":"607_CR53","doi-asserted-by":"crossref","unstructured":"Weickert, J., & Schn\u00f6rr, C. (Dec. 2001). A theoretical framework for convex regularizers in PDE-based computation of image motion. International Journal of Computer Vision, 45(3), 245\u2013264.","DOI":"10.1023\/A:1013614317973"},{"key":"607_CR54","doi-asserted-by":"crossref","unstructured":"Weickert, J., & Schn\u00f6rr, C. (May 2001). Variational optic flow computation with a spatio-temporal smoothness constraint. Journal of Mathematical Imaging and Vision, 14(3), 245\u2013255.","DOI":"10.1023\/A:1011286029287"},{"key":"607_CR55","doi-asserted-by":"crossref","unstructured":"Werlberger, M., Trobin, W., Pock, T., Wedel, A., Cremers, D., & Bischof, H. (2009). Anisotropic Huber-L1 optical flow. In British Machine Vision Conference, Vol. 34, pp. 1\u201311.","DOI":"10.5244\/C.23.108"},{"key":"607_CR56","doi-asserted-by":"crossref","unstructured":"White, R., Crane, K., Forsyth, D. (2007). Capturing and animating occluded cloth. In ACM Transactions on Graphics.","DOI":"10.1145\/1276377.1276420"},{"key":"607_CR57","doi-asserted-by":"crossref","unstructured":"Zach, C., Pock, T., & Bischof, H. (2007). A duality based approach for realtime TV-L1 optical flow. In Pattern recognition (Proc. DAGM), pp. 214\u2013223.","DOI":"10.1007\/978-3-540-74936-3_22"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-012-0607-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,11]],"date-time":"2019-07-11T16:10:54Z","timestamp":1562861454000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-012-0607-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,2]]},"references-count":57,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,9]]}},"alternative-id":["607"],"URL":"https:\/\/doi.org\/10.1007\/s11263-012-0607-7","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,2]]}}}