{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T21:40:45Z","timestamp":1725745245557},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642403941"},{"type":"electronic","value":"9783642403958"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40395-8_9","type":"book-chapter","created":{"date-parts":[[2013,8,16]],"date-time":"2013-08-16T09:51:32Z","timestamp":1376646692000},"page":"108-122","source":"Crossref","is-referenced-by-count":9,"title":["Discrete Geodesic Regression in Shape Space"],"prefix":"10.1007","author":[{"given":"Benjamin","family":"Berkels","sequence":"first","affiliation":[]},{"given":"P. Thomas","family":"Fletcher","sequence":"additional","affiliation":[]},{"given":"Behrend","family":"Heeren","sequence":"additional","affiliation":[]},{"given":"Martin","family":"Rumpf","sequence":"additional","affiliation":[]},{"given":"Benedikt","family":"Wirth","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"3","key":"9_CR1","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1109\/TPAMI.2004.1262333","volume":"26","author":"E. Klassen","year":"2004","unstructured":"Klassen, E., Srivastava, A., Mio, W., Joshi, S.H.: Analysis of planar shapes using geodesic paths on shape spaces. IEEE Transactions on Pattern Analysis and Machine Intelligence\u00a026(3), 372\u2013383 (2004)","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"9_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/1276377.1276457","volume":"26","author":"M. Kilian","year":"2007","unstructured":"Kilian, M., Mitra, N.J., Pottmann, H.: Geometric modeling in shape space. ACM Transactions on Graphics 26, #64, 1\u20138 (2007)","journal-title":"ACM Transactions on Graphics"},{"key":"9_CR3","doi-asserted-by":"crossref","unstructured":"Beg, M.F., Miller, M., Trouv\u00e9, A., Younes, L.: Computational anatomy: Computing metrics on anatomical shapes. In: Proceedings of 2002 IEEE ISBI, pp. 341\u2013344 (2002)","DOI":"10.1109\/IEMBS.2002.1106240"},{"key":"9_CR4","unstructured":"Miller, M.I., Trouv\u00e9, A., Younes, L.: The metric spaces, Euler equations, and normal geodesic image motions of computational anatomy. In: Proceedings of the 2003 International Conference on Image Processing, vol.\u00a02, pp. 635\u2013638. IEEE (2003)"},{"issue":"7","key":"9_CR5","doi-asserted-by":"publisher","first-page":"1415","DOI":"10.1109\/TPAMI.2010.184","volume":"33","author":"A. Srivastava","year":"2011","unstructured":"Srivastava, A., Klassen, E., Joshi, S.H., Jermyn, I.H.: Shape analysis of elastic curves in euclidean spaces. IEEE Transactions on Pattern Analysis and Machine Intelligence\u00a033(7), 1415\u20131428 (2011)","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"8","key":"9_CR6","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1109\/TMI.2004.831793","volume":"23","author":"P. Fletcher","year":"2004","unstructured":"Fletcher, P., Lu, C., Pizer, S., Joshi, S.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging\u00a023(8), 995\u20131005 (2004)","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"9_CR7","doi-asserted-by":"crossref","unstructured":"Davis, B., Fletcher, P.T., Bullitt, E., Joshi, S.: Population shape regression from random design data. In: Proceedings of IEEE International Conference on Computer Vision (2007)","DOI":"10.1109\/ICCV.2007.4408977"},{"key":"9_CR8","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1146\/annurev.bioeng.4.092101.125733","volume":"4","author":"M. Miller","year":"2002","unstructured":"Miller, M., Trouv\u00e9, A., Younes, L.: On the metrics and Euler-Lagrange equations of computational anatomy. Annual Review of Biomedical Enginieering\u00a04, 375\u2013405 (2002)","journal-title":"Annual Review of Biomedical Enginieering"},{"key":"9_CR9","unstructured":"Fletcher, P.T.: Geodesic regression on Riemannian manifolds. In: MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), pp. 75\u201386 (2011)"},{"key":"9_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1007\/978-3-642-23629-7_80","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2011","author":"M. Niethammer","year":"2011","unstructured":"Niethammer, M., Huang, Y., Vialard, F.-X.: Geodesic regression for image time-series. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol.\u00a06892, pp. 655\u2013662. Springer, Heidelberg (2011)"},{"key":"9_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/978-3-642-33454-2_25","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2012","author":"Y. Hong","year":"2012","unstructured":"Hong, Y., Joshi, S., Sanchez, M., Styner, M., Niethammer, M.: Metamorphic geodesic regression. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds.) MICCAI 2012, Part III. LNCS, vol.\u00a07512, pp. 197\u2013205. Springer, Heidelberg (2012)"},{"issue":"2","key":"9_CR12","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1090\/S0033-569X-2012-01250-4","volume":"70","author":"A. Trouv\u00e9","year":"2012","unstructured":"Trouv\u00e9, A., Vialard, F.X.: Shape splines and stochastic shape evolutions: a second order point of view. Quart. Appl. Math.\u00a070(2), 219\u2013251 (2012)","journal-title":"Quart. Appl. Math."},{"key":"9_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1007\/11612032_62","volume-title":"Computer Vision \u2013 ACCV 2006","author":"A. Srivastava","year":"2006","unstructured":"Srivastava, A., Jain, A., Joshi, S., Kaziska, D.: Statistical shape models using elastic-string representations. In: Narayanan, P.J., Nayar, S.K., Shum, H.-Y. (eds.) ACCV 2006. LNCS, vol.\u00a03851, pp. 612\u2013621. Springer, Heidelberg (2006)"},{"key":"9_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4171\/JEMS\/37","volume":"8","author":"P.W. Michor","year":"2006","unstructured":"Michor, P.W., Mumford, D.: Riemannian geometries on spaces of plane curves. J. Eur. Math. Soc.\u00a08, 1\u201348 (2006)","journal-title":"J. Eur. Math. Soc."},{"issue":"3","key":"9_CR15","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/s11263-006-0635-2","volume":"73","author":"G. Sundaramoorthi","year":"2007","unstructured":"Sundaramoorthi, G., Yezzi, A., Mennucci, A.: Sobolev active contours. International Journal of Computer Vision\u00a073(3), 345\u2013366 (2007)","journal-title":"International Journal of Computer Vision"},{"issue":"1","key":"9_CR16","doi-asserted-by":"publisher","first-page":"25","DOI":"10.4171\/RLM\/506","volume":"19","author":"L. Younes","year":"2008","unstructured":"Younes, L., Michor, P.W., Shah, J., Mumford, D.: A metric on shape space with explicit geodesics. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.\u00a019(1), 25\u201357 (2008)","journal-title":"Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl."},{"issue":"1","key":"9_CR17","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1137\/090781139","volume":"4","author":"G. Sundaramoorthi","year":"2011","unstructured":"Sundaramoorthi, G., Mennucci, A., Soatto, S., Yezzi, A.: A new geometric metric in the space of curves, and applications to tracking deforming objects by prediction and filtering. SIAM Journal on Imaging Sciences\u00a04(1), 109\u2013145 (2011)","journal-title":"SIAM Journal on Imaging Sciences"},{"key":"9_CR18","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1090\/qam\/1632326","volume":"56","author":"D. Dupuis","year":"1998","unstructured":"Dupuis, D., Grenander, U., Miller, M.: Variational problems on flows of diffeomorphisms for image matching. Quarterly of Applied Mathematics\u00a056, 587\u2013600 (1998)","journal-title":"Quarterly of Applied Mathematics"},{"issue":"1","key":"9_CR19","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1007\/s10851-009-0156-z","volume":"35","author":"M. Fuchs","year":"2009","unstructured":"Fuchs, M., J\u00fcttler, B., Scherzer, O., Yang, H.: Shape metrics based on elastic deformations. J. Math. Imaging Vis.\u00a035(1), 86\u2013102 (2009)","journal-title":"J. Math. Imaging Vis."},{"issue":"3","key":"9_CR20","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1007\/s11263-010-0416-9","volume":"93","author":"B. Wirth","year":"2011","unstructured":"Wirth, B., Bar, L., Rumpf, M., Sapiro, G.: A continuum mechanical approach to geodesics in shape space. International Journal of Computer Vision\u00a093(3), 293\u2013318 (2011)","journal-title":"International Journal of Computer Vision"},{"issue":"3","key":"9_CR21","doi-asserted-by":"publisher","first-page":"800","DOI":"10.1137\/080738337","volume":"2","author":"M. Rumpf","year":"2009","unstructured":"Rumpf, M., Wirth, B.: A nonlinear elastic shape averaging approach. SIAM Journal on Imaging Sciences\u00a02(3), 800\u2013833 (2009)","journal-title":"SIAM Journal on Imaging Sciences"},{"key":"9_CR22","unstructured":"Rumpf, M., Wirth, B.: Variational time discretization of geodesic calculus (2012), http:\/\/de.arxiv.org\/abs\/1210.2097"},{"key":"9_CR23","unstructured":"Fletcher, R.: Practical Methods of Optimization, 2nd edn. John Wiley & Sons (1987)"}],"container-title":["Lecture Notes in Computer Science","Energy Minimization Methods in Computer Vision and Pattern Recognition"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40395-8_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,16]],"date-time":"2024-05-16T18:26:17Z","timestamp":1715883977000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40395-8_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642403941","9783642403958"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40395-8_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}