{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T21:08:06Z","timestamp":1770325686216,"version":"3.49.0"},"publisher-location":"Berlin, Heidelberg","reference-count":27,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642337147","type":"print"},{"value":"9783642337154","type":"electronic"}],"license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33715-4_58","type":"book-chapter","created":{"date-parts":[[2012,9,26]],"date-time":"2012-09-26T08:06:38Z","timestamp":1348646798000},"page":"804-817","source":"Crossref","is-referenced-by-count":59,"title":["Elastic Shape Matching of Parameterized Surfaces Using Square Root Normal Fields"],"prefix":"10.1007","author":[{"given":"Ian H.","family":"Jermyn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Kurtek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eric","family":"Klassen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anuj","family":"Srivastava","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"58_CR1","doi-asserted-by":"crossref","unstructured":"Kurtek, S., Klassen, E., Ding, Z., Srivastava, A.: A novel Riemannian framework for shape analysis of 3D objects. In: Proc. IEEE Computer Vision and Pattern Recognition, pp. 1625\u20131632 (2010)","DOI":"10.1109\/CVPR.2010.5539778"},{"key":"58_CR2","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., Lincei, R.: A metric on shape space with explicit geodesics. Matematica E Applicazioni\u00a019, 25\u201357 (2008)","journal-title":"Matematica E Applicazioni"},{"key":"58_CR3","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., Jermyn, I.: Shape analysis of elastic curves in Euclidean spaces. IEEE Trans. Pattern Analysis and Machine Intelligence\u00a033, 1415\u20131428 (2011)","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"58_CR4","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1090\/qam\/1668732","volume":"LVI","author":"U. Grenander","year":"1998","unstructured":"Grenander, U., Miller, M.I.: Computational anatomy: An emerging discipline. Quarterly of Applied Mathematics\u00a0LVI, 617\u2013694 (1998)","journal-title":"Quarterly of Applied Mathematics"},{"key":"58_CR5","unstructured":"Dryden, I.L., Mardia, K.: Statistical Shape Analysis. John Wiley & Son (1998)"},{"key":"58_CR6","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/BF00119843","volume":"6","author":"R. Malladi","year":"1996","unstructured":"Malladi, R., Sethian, J., Vemuri, B.: A fast level set based algorithm for topology-independent shape modeling. Journal of Math. Imag. and Vision\u00a06, 269\u2013290 (1996)","journal-title":"Journal of Math. Imag. and Vision"},{"key":"58_CR7","doi-asserted-by":"crossref","unstructured":"Gu, X., Wang, S., Kim, J., Zeng, Y., Wang, Y., Qin, H., Samaras, D.: Ricci flow for 3D shape analysis. In: Proc. IEEE Int. Conf. on Computer Vision (2007)","DOI":"10.1109\/ICCV.2007.4409028"},{"key":"58_CR8","doi-asserted-by":"publisher","first-page":"1523","DOI":"10.1016\/j.patrec.2007.03.005","volume":"28","author":"A. Almhdie","year":"2007","unstructured":"Almhdie, A., L\u00e9ger, C., Deriche, M., L\u00e9d\u00e9e, R.: 3D registration using a new implementation of the ICP algorithm based on a comprehensive lookup matrix: Application to medical imaging. Pattern Recognition Letters\u00a028, 1523\u20131533 (2007)","journal-title":"Pattern Recognition Letters"},{"key":"58_CR9","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.1016\/j.neuroimage.2004.12.051","volume":"25","author":"S. Bouix","year":"2001","unstructured":"Bouix, S., Pruessner, J.C., Collins, D.L., Siddiqi, K.: Hippocampal shape analysis using medial surfaces. Neuroimage\u00a025, 1077\u20131089 (2001)","journal-title":"Neuroimage"},{"key":"58_CR10","doi-asserted-by":"publisher","first-page":"652","DOI":"10.1109\/TPAMI.2009.92","volume":"32","author":"K. Gorczowski","year":"2010","unstructured":"Gorczowski, K., Styner, M., Jeong, J., Marron, J., Piven, J., Hazlett, H., Pizer, S., Gerig, G.: Multi-object analysis of volume, pose, and shape using statistical discrimination. IEEE Trans. Pattern Analysis and Machine Intelligence\u00a032, 652\u2013666 (2010)","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"58_CR11","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1006\/cviu.1995.1013","volume":"61","author":"C. Brechb\u00fchler","year":"1995","unstructured":"Brechb\u00fchler, C., Gerig, G., K\u00fcbler, O.: Parameterization of closed surfaces for 3D shape description. Computer Vision and Image Understanding\u00a061, 154\u2013170 (1995)","journal-title":"Computer Vision and Image Understanding"},{"key":"58_CR12","doi-asserted-by":"crossref","unstructured":"Styner, M., Oguz, I., Xu, S., Brechbuhler, C., Pantazis, D., Levitt, J., Shenton, M., Gerig, G.: Framework for the statistical shape analysis of brain structures using SPHARM-PDM. In: Proc. MICCAI Open Science Workshop (2006)","DOI":"10.54294\/owxzil"},{"key":"58_CR13","doi-asserted-by":"crossref","unstructured":"van Kaick, O., Zhang, H., Hamarneh, G., Cohen-Or, D.: A survey on shape correspondence. Eurographics State-of-the-Art Report (2010)","DOI":"10.1111\/j.1467-8659.2011.01884.x"},{"key":"58_CR14","unstructured":"Cates, J., Meyer, M., Fletcher, P., Whitaker, R.: Entropy-based particle systems for shape correspondence. In: Proc. MICCAI Mathematical Foundations of Computational Anatomy, pp. 90\u201399 (2006)"},{"key":"58_CR15","doi-asserted-by":"publisher","first-page":"961","DOI":"10.1109\/TMI.2009.2035048","volume":"29","author":"R. Davies","year":"2010","unstructured":"Davies, R., Twining, C., Cootes, T., Taylor, C.: Building 3-d statistical shape models by direct optimization. IEEE Trans. Medical Imaging\u00a029, 961\u2013981 (2010)","journal-title":"IEEE Trans. Medical Imaging"},{"key":"58_CR16","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. Journal of Mathematical Imaging and Vision\u00a035, 86\u2013102 (2009)","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"58_CR17","doi-asserted-by":"crossref","unstructured":"Windheuser, T., Schlickewei, U., Schmidt, F.R., Cremers, D.: Geometrically consistent elastic matching of 3d shapes: A linear programming solution. In: Proc. International Conference on Computer Vision, ICCV (2011)","DOI":"10.1109\/ICCV.2011.6126489"},{"key":"58_CR18","doi-asserted-by":"crossref","unstructured":"Kilian, M., Mitra, N.J., Pottmann, H.: Geometric modeling in shape space. In: Proc. of SIGGRAPH (2006)","DOI":"10.1145\/1275808.1276457"},{"key":"58_CR19","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1109\/TMI.2010.2099130","volume":"30","author":"S. Kurtek","year":"2011","unstructured":"Kurtek, S., Klassen, E., Ding, Z., Jacobson, S., Jacobson, J., Avison, M., Srivastava, A.: Parameterization-invariant shape comparisons of anatomical surfaces. IEEE Trans. Medical Imaging\u00a030, 849\u2013858 (2011)","journal-title":"IEEE Trans. Medical Imaging"},{"key":"58_CR20","unstructured":"Kurtek, S., Klassen, E., Gore, J., Ding, Z., Srivastava, A.: Elastic geodesic paths in shape space of parametrized surfaces. IEEE Trans. Pattern Analysis and Machine Intelligence (2010)"},{"key":"58_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/978-3-642-22092-0_13","volume-title":"Information Processing in Medical Imaging","author":"S. Kurtek","year":"2011","unstructured":"Kurtek, S., Klassen, E., Ding, Z., Avison, M., Srivastava, A.: Parameterization-Invariant Shape Statistics and Probabilistic Classification of Anatomical Surfaces. In: Sz\u00e9kely, G., Hahn, H.K. (eds.) IPMI 2011. LNCS, vol.\u00a06801, pp. 147\u2013158. Springer, Heidelberg (2011)"},{"key":"58_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1007\/978-3-540-30135-6_94","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2004","author":"X. Gu","year":"2004","unstructured":"Gu, X., Vemuri, B.C.: Matching 3D Shapes Using 2D Conformal Representations. In: Barillot, C., Haynor, D.R., Hellier, P. (eds.) MICCAI 2004. LNCS, vol.\u00a03216, pp. 771\u2013780. Springer, Heidelberg (2004)"},{"key":"58_CR23","first-page":"1113","volume":"160","author":"B.S. DeWitt","year":"1967","unstructured":"DeWitt, B.S.: Quantum Theory of Gravity. I. The Canonical Theory. Physical Review\u00a0160, 1113\u20131148 (1967)","journal-title":"I. The Canonical Theory. Physical Review"},{"key":"58_CR24","doi-asserted-by":"crossref","unstructured":"Clarke, B.: The metric geometry of the manifold of Riemannian metrics over a closed manifold. Calculus of Variations and Partial Diff. Equations\u00a039 (2010)","DOI":"10.1007\/s00526-010-0323-5"},{"key":"58_CR25","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1007\/BF01343889","volume":"215","author":"K. Abe","year":"1975","unstructured":"Abe, K., Erbacher, J.: Isometric immersions with the same Gauss map. Mathematische Annalen\u00a0215, 197\u2013201 (1975)","journal-title":"Mathematische Annalen"},{"key":"58_CR26","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1090\/pspum\/015\/0267604","volume":"15","author":"D. Ebin","year":"1970","unstructured":"Ebin, D.: The manifold of Riemannian metrics. Proc. Symposia in Pure Mathematics (AMS)\u00a015, 11\u201340 (1970)","journal-title":"Proc. Symposia in Pure Mathematics (AMS)"},{"key":"58_CR27","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1093\/qmath\/42.1.183","volume":"42","author":"O. Gil-Medrano","year":"1991","unstructured":"Gil-Medrano, O., Michor, P.W.: The Riemannian manifold of all Riemannian metrics. Quarterly Journal of Mathematics\u00a042, 183\u2013202 (1991)","journal-title":"Quarterly Journal of Mathematics"}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2013 ECCV 2012"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33715-4_58","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,25]],"date-time":"2023-06-25T23:25:28Z","timestamp":1687735528000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33715-4_58"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642337147","9783642337154"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33715-4_58","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}