{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T05:26:52Z","timestamp":1780637212832,"version":"3.54.1"},"reference-count":29,"publisher":"Association for Computing Machinery (ACM)","issue":"5","license":[{"start":{"date-parts":[[2017,10,11]],"date-time":"2017-10-11T00:00:00Z","timestamp":1507680000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"DARPA TRADES","award":["HR00111720031"],"award-info":[{"award-number":["HR00111720031"]}]},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CCF-1117695"],"award-info":[{"award-number":["CCF-1117695"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NIH","award":["R01LM011300-01"],"award-info":[{"award-number":["R01LM011300-01"]}]},{"name":"NSF CAREER","award":["1652515"],"award-info":[{"award-number":["1652515"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2017,10,31]]},"abstract":"<jats:p>T-junctions occur where surface strips start or terminate. This paper develops a new way to create smooth piecewise polynomial free-form spline surfaces from quad-meshes that include T-junctions. All mesh nodes are interpreted as control points of GT-splines, that is, geometrically smoothly joined piecewise polynomials. GT-splines are akin to and compatible with B-splines and cover simple T-junctions by two polynomial pieces of degree bi-4 and more complex ones by four such patches. They complement multi-sided surface constructions in generating free-form surfaces with adaptive layout.<\/jats:p>\n          <jats:p>Since GT-splines do not require a global coordination of knot intervals, GT-constructions are easy to deploy and can provide smooth surfaces with T-junctions where T-splines cannot have a smooth parameterization. GT-constructions display a uniform highlight linedistribution on input meshes where alternatives, such as Catmull-Clark subdivision, exhibit oscillations.<\/jats:p>","DOI":"10.1145\/3136954","type":"journal-article","created":{"date-parts":[[2017,10,12]],"date-time":"2017-10-12T12:52:50Z","timestamp":1507812770000},"page":"1-9","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":12,"title":["T-junctions in Spline Surfaces"],"prefix":"10.1145","volume":"36","author":[{"given":"K\u0229stutis","family":"Kar\u010diauskas","sequence":"first","affiliation":[{"name":"Vilnius University, Vilnius, Lithuania, NY, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniele","family":"Panozzo","sequence":"additional","affiliation":[{"name":"New York University, New York, NY"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J\u00f6rg","family":"Peters","sequence":"additional","affiliation":[{"name":"University of Florida, Gainesville FL, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2017,10,11]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882296"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2010.04.002"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12014"},{"key":"e_1_2_2_4_1","first-page":"191","article-title":"Automatic and interactive mesh to T-spline conversion","volume":"10","author":"Catmull E.","year":"1978","unstructured":"E. Catmull and J. Clark . 1978 . Automatic and interactive mesh to T-spline conversion . Computer-Aided Design 10 , 6 (1978), 191 -- 200 . http:\/\/www.eg.org\/EG\/DL\/WS\/SGP\/SGP06191-200.pdf. E. Catmull and J. Clark. 1978. Automatic and interactive mesh to T-spline conversion. Computer-Aided Design 10, 6 (1978), 191--200. http:\/\/www.eg.org\/EG\/DL\/WS\/SGP\/SGP06191-200.pdf.","journal-title":"Computer-Aided Design"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2012.12.005"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01288.x"},{"key":"e_1_2_2_7_1","volume-title":"Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide","author":"Farin Gerald","unstructured":"Gerald Farin . 1988. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide . Academic Press . Gerald Farin. 1988. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide. 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Wan-Chiu Li, Nicolas Ray, and Bruno L\u00e9vy. 2006. Automatic and interactive mesh to T-spline conversion, Alla Sheffer Konrad Polthier (Ed.). 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