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The method maps a premeshed sphere to the surface\nof the segmented object. The mapping is defined by the gradient field of the solution of the Laplace equation between\nthe sphere and the surface of the object. The same algorithm is independently used to generate the surface meshes of\nthe epicardium and endocardium of the four cardiac chambers. The generated meshes are smooth despite the strong\nvoxel anisotropy, which is not the case for the marching cubes and related methods. While the proposed method\ngenerates more regular mesh triangles than the marching cubes and allows for a complete control of the number of\ntriangles, the generated meshes are still close to the ones obtained by the marching cubes. The method was tested\non 3D short\u2010axis cardiac MR images with strongly anisotropic voxels in the long\u2010axis direction. For the five tested\nsubjects, the average in\u2010slice distance between the meshes generated by the proposed method and by the marching\ncubes was 0.4\u2009mm.<\/jats:p>","DOI":"10.1155\/2009\/313517","type":"journal-article","created":{"date-parts":[[2009,12,9]],"date-time":"2009-12-09T12:51:22Z","timestamp":1260363082000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Generation of Myocardial Wall Surface Meshes from Segmented MRI"],"prefix":"10.1155","volume":"2009","author":[{"given":"Oskar","family":"\u0160krinjar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arnaud","family":"Bistoquet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2009,12,8]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2005.05.003"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2004.06.014"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2005.12.001"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2004.06.015"},{"key":"e_1_2_8_5_2","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S1361-8415(96)80009-0","article-title":"Tracking and motion analysis of the left ventricle with deformable superquadrics","volume":"1","author":"Bardinet E.","year":"1996","journal-title":"Medical Image Analysis"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2002.801163"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2006.03.004"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2004.06.013"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1361-8415(03)00068-9"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008163112590"},{"key":"e_1_2_8_11_2","doi-asserted-by":"crossref","DOI":"10.1201\/9781420050349","volume-title":"Handbook of Grid Generation","author":"Thompson J. 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