{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T22:27:06Z","timestamp":1761863226861},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2010]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider optimal matching of submanifolds such as curves and\n        surfaces by a variational approach based on Hilbert spaces of diffeomorphic transformations.\n        In an abstract setting, the optimal matching is formulated as a minimization\n        problem involving actions of diffeomorphisms on regular Borel measures considered as\n        supporting measures of the reference and the target submanifolds. The objective functional\n        consists of two parts measuring the elastic energy of the dynamically deformed\n        surfaces and the quality of the matching. To make the problem computationally accessible,\n        we use reproducing kernel Hilbert spaces with radial kernels and weighted\n        sums of Dirac measures which gives rise to diffeomorphic point matching and amounts\n        to the solution of a finite dimensional minimization problem. We present a matching\n        algorithm based on the first order necessary optimality conditions which include an\n        initial-value problem for a dynamical system in the trajectories describing the deformation\n        of the surfaces and a final-time problem associated with the adjoint equations.\n        The performance of the algorithm is illustrated by numerical results for examples from\n        medical image analysis.<\/jats:p>","DOI":"10.2478\/cmam-2010-0014","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T15:49:23Z","timestamp":1366040963000},"page":"235-274","source":"Crossref","is-referenced-by-count":18,"title":["Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging"],"prefix":"10.2478","volume":"10","author":[{"given":"R.","family":"Azencott","sequence":"first","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"R.","family":"Glowinski","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"J.","family":"He","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"A.","family":"Jajoo","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"Y.","family":"Li","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"A.","family":"Martynenko","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"R.H.W.","family":"Hoppe","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A."}]},{"given":"S.","family":"Benzekry","sequence":"additional","affiliation":[{"name":"2Medical Office, 7500 Kirby Drive, Houston, TX 77030, U.S.A."}]},{"given":"S.H.","family":"Little","sequence":"additional","affiliation":[{"name":"3The Methodist Hospital Research Institute, Houston, TX 77030, U.S.A."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/3\/article-p235.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2010-0014\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:40Z","timestamp":1619101300000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/3\/article-p235.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2010-0014","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}