{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T22:08:41Z","timestamp":1776290921769,"version":"3.50.1"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"01n02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv. Adapt. Data Anal."],"published-print":{"date-parts":[[2011,4]]},"abstract":"<jats:p> A practical method for finding correspondences between nonrigid isometric shapes is presented. It utilizes both pointwise surface descriptors, and metric structures defined on the shapes to perform the matching task, which is formulated as a quadratic minimization problem. Further, the paper explores the correspondence ambiguity problem arising when matching intrinsically symmetric shapes using only intrinsic surface properties. It is shown that when using isometry invariant surface descriptors based on eigendecomposition of the Laplace\u2013Beltrami operator, it is possible to construct distinctive sets of surface descriptors for different possible correspondences. When used in a proper minimization problem, those descriptors allow us to explore number of possible correspondences between two given shapes. <\/jats:p>","DOI":"10.1142\/s1793536911000829","type":"journal-article","created":{"date-parts":[[2011,9,8]],"date-time":"2011-09-08T05:53:56Z","timestamp":1315461236000},"page":"203-228","source":"Crossref","is-referenced-by-count":26,"title":["APPROXIMATELY ISOMETRIC SHAPE CORRESPONDENCE BY MATCHING POINTWISE SPECTRAL FEATURES AND GLOBAL GEODESIC STRUCTURES"],"prefix":"10.1142","volume":"03","author":[{"given":"ANASTASIA","family":"DUBROVINA","sequence":"first","affiliation":[{"name":"Technion - Israel Institute of Technology, Haifa, 32000, Israel"}]},{"given":"RON","family":"KIMMEL","sequence":"additional","affiliation":[{"name":"Technion - Israel Institute of Technology, Haifa, 32000, Israel"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2010.01779.x"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01896401"},{"key":"rf5","series-title":"Springer Series in Statistics","volume-title":"Modern Multidimensional Scaling: Theory and Applications","author":"Borg I.","year":"2005"},{"key":"rf6","author":"Bronstein A. M.","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell. (PAMI)"},{"key":"rf9","volume-title":"Numerical Geometry of Non-Rigid Shapes","author":"Bronstein A. M.","year":"2008"},{"key":"rf11","author":"Bronstein A. M.","journal-title":"Int. J. Comput. Vis. (IJCV)"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01286.x"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2006.04.006"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1002\/ima.20076"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2003.1233902"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(85)90224-5"},{"key":"rf19","series-title":"Textes Mathematiques","volume-title":"Structures Metriques Pour les Varietes Riemanniennes","author":"Gromov M.","year":"1981"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1287\/moor.10.2.180"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/s00371-009-0340-6"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01285.x"},{"key":"rf23","first-page":"101","author":"Jain V.","journal-title":"Int. J. Shape Model."},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2003.1177151"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-004-0145-y"},{"key":"rf37","first-page":"81","author":"Memoli F.","journal-title":"Point Based Graph."},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01273.x"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.1993.10504266"},{"key":"rf42","author":"Qiu H.","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell. (PAMI)"},{"key":"rf44","author":"Raviv D.","journal-title":"Int. J. Comput. Vis. (IJCV)"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1016\/j.cad.2005.10.011"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623783"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1016\/0262-8856(92)90043-3"},{"key":"rf55","doi-asserted-by":"publisher","DOI":"10.1109\/34.6778"},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1145\/1409625.1409626"},{"key":"rf58","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2004.07.007"},{"key":"rf60","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01283.x"},{"key":"rf61","first-page":"198","volume":"2","author":"Zigelman G.","journal-title":"IEEE Trans. Visual. Comput. Graph."}],"container-title":["Advances in Adaptive Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793536911000829","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:54:38Z","timestamp":1565139278000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793536911000829"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4]]},"references-count":31,"journal-issue":{"issue":"01n02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,4]]}},"alternative-id":["10.1142\/S1793536911000829"],"URL":"https:\/\/doi.org\/10.1142\/s1793536911000829","relation":{},"ISSN":["1793-5369","1793-7175"],"issn-type":[{"value":"1793-5369","type":"print"},{"value":"1793-7175","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4]]}}}