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For common geometric modeling tasks it is desirable to retain the simplicity and flexibility of commonly used subdivision surfaces, and extend them to handle T-meshes.<\/jats:p>\n          <jats:p>We propose a subdivision scheme extending Catmull-Clark and NURSS to a special class of quad T-meshes, dyadic T-meshes, which have no more than one T-joint per edge. Our scheme is based on a factorization with the same structure as Catmull-Clark subdivision. On regular T-meshes it is a refinement scheme for a subset of standard T-splines. While we use more variations of subdivision masks compared to Catmull-Clark and NURSS, the minimal size of the stencil is maintained, and all variations in formulas are due to simple changes in coefficients.<\/jats:p>","DOI":"10.1145\/2766972","type":"journal-article","created":{"date-parts":[[2015,7,28]],"date-time":"2015-07-28T12:26:38Z","timestamp":1438086398000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":21,"title":["Dyadic T-mesh subdivision"],"prefix":"10.1145","volume":"34","author":[{"given":"Denis","family":"Kovacs","sequence":"first","affiliation":[{"name":"New York University and FiftyThree"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Justin","family":"Bisceglio","sequence":"additional","affiliation":[{"name":"New York University and Blue Sky Studios"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denis","family":"Zorin","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2015,7,27]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"crossref","unstructured":"Andersson L.-E. and Stewart N. 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John Wiley & Sons Inc.","DOI":"10.1002\/9780470749081"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.07.009"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.gmod.2008.03.001"},{"key":"e_1_2_2_13_1","doi-asserted-by":"crossref","unstructured":"D\u00f6rfel M. J\u00fcttler B. and Simeon B. 2010. Adaptive isogeometric analysis by local h-refinement with T-splines. Computer methods in applied mechanics and engineering 199 5--8 264--275.  D\u00f6rfel M. J\u00fcttler B. and Simeon B. 2010. Adaptive isogeometric analysis by local h-refinement with T-splines. Computer methods in applied mechanics and engineering 199 5--8 264--275.","DOI":"10.1016\/j.cma.2008.07.012"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/218380.218440"},{"key":"e_1_2_2_15_1","doi-asserted-by":"crossref","unstructured":"Evans E. Scott M. Li X. and Thomas D. 2014. Hierarchical t-splines: Analysis-suitability b\u00e9zier extraction and application as an adaptive basis for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering.  Evans E. Scott M. Li X. and Thomas D. 2014. Hierarchical t-splines: Analysis-suitability b\u00e9zier extraction and application as an adaptive basis for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering.","DOI":"10.1016\/j.cma.2014.05.019"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.344922"},{"key":"e_1_2_2_17_1","volume-title":"Tech. Rep. 11--13, ICES.","author":"Li M.","year":"2011","unstructured":"Li , M. , and Scott , M . 2011 . On the nesting behavior of t-splines. Tech. Rep. 11--13, ICES. Li, M., and Scott, M. 2011. On the nesting behavior of t-splines. Tech. 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