{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,9]],"date-time":"2023-09-09T20:47:45Z","timestamp":1694292465473},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2009,4]]},"abstract":"<jats:p> Topology-based methods have been successfully used for the analysis and visualization of piecewise-linear functions defined on triangle meshes. This paper describes a mechanism for extending these methods to piecewise-quadratic functions defined on triangulations of surfaces. Each triangular patch is tessellated into monotone regions, so that existing algorithms for computing topological representations of piecewise-linear functions may be applied directly to the piecewise-quadratic function. In particular, the tessellation is used for computing the Reeb graph, a topological data structure that provides a succinct representation of level sets of the function. <\/jats:p>","DOI":"10.1142\/s0218195909002903","type":"journal-article","created":{"date-parts":[[2009,5,5]],"date-time":"2009-05-05T11:30:21Z","timestamp":1241523021000},"page":"195-211","source":"Crossref","is-referenced-by-count":2,"title":["TOPOLOGY-GUIDED TESSELLATION OF QUADRATIC ElEMENTS"],"prefix":"10.1142","volume":"19","author":[{"given":"SCOTT E.","family":"DILLARD","sequence":"first","affiliation":[{"name":"Los Alamos National Laboratory, PO Box 1663 MS T001, Los Alamos, New Mexico 87544, USA"}]},{"given":"VIJAY","family":"NATARAJAN","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Automation, Indian Institute of Science, Bangalore, 560012, India"}]},{"given":"GUNTHER H.","family":"WEBER","sequence":"additional","affiliation":[{"name":"Lawrence Berkeley National Laboratory, 1 Cyclotron Road MS 50F1650, Berkeley, California 94720-8139, USA"}]},{"given":"VALERIO","family":"PASCUCCI","sequence":"additional","affiliation":[{"name":"Scientific Computing Institute, University of Utah, 72 S Central Campus Drive, 3750 WEB, Salt Lake City, Utah 84112, USA"}]},{"given":"BERND","family":"HAMANN","sequence":"additional","affiliation":[{"name":"Institute for Data Analysis and Visualization (IDAV), University of California, Davis, One Shields Avenue, Davis, California 95616-8562, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"847","volume":"222","author":"Reeb G.","journal-title":"Comptes Rendus Acad. Sci."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(90)90041-O"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2003.1207437"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-7721(02)00093-7"},{"key":"rf8","first-page":"231","volume":"32","author":"Cole-McLaughlin K.","journal-title":"Discr. Comput. Geom."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2004.05.002"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2007.47"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2006.74"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1145\/1037957.1037958"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1515\/9781400881802"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195909002903","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:22:42Z","timestamp":1565137362000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195909002903"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4]]},"references-count":10,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,4]]}},"alternative-id":["10.1142\/S0218195909002903"],"URL":"https:\/\/doi.org\/10.1142\/s0218195909002903","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4]]}}}