{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T17:07:12Z","timestamp":1784308032915,"version":"3.55.0"},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T00:00:00Z","timestamp":1780963200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001665","name":"French National Research Agency","doi-asserted-by":"publisher","award":["ANR-24-CE91-0001"],"award-info":[{"award-number":["ANR-24-CE91-0001"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers & Graphics"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1016\/j.cag.2026.104652","type":"journal-article","created":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T15:41:27Z","timestamp":1781019687000},"page":"104652","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Approximating Doo\u2013Sabin limit surfaces using geometrically continuous B\u00e9zier patchesImage 999"],"prefix":"10.1016","volume":"138","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-5475-8765","authenticated-orcid":false,"given":"Dimitrios","family":"Tolis","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6559-6971","authenticated-orcid":false,"given":"Michelangelo","family":"Marsala","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7135-1084","authenticated-orcid":false,"given":"Angelos","family":"Mantzaflaris","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8813-1368","authenticated-orcid":false,"given":"Bernard","family":"Mourrain","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"6","key":"10.1016\/j.cag.2026.104652_b1","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/0010-4485(78)90110-0","article-title":"Recursively generated B-spline surfaces on arbitrary topological meshes","volume":"10","author":"Catmull","year":"1978","journal-title":"Comput-Aided Des"},{"issue":"6","key":"10.1016\/j.cag.2026.104652_b2","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1016\/0010-4485(78)90111-2","article-title":"Behaviour of recursive division surfaces near extraordinary points","volume":"10","author":"Doo","year":"1978","journal-title":"Comput-Aided Des"},{"key":"10.1016\/j.cag.2026.104652_b3","series-title":"Smooth subdivision surfaces based on triangles","author":"Loop","year":"1987"},{"issue":"2","key":"10.1016\/j.cag.2026.104652_b4","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1145\/78956.78958","article-title":"A butterfly subdivision scheme for surface interpolation with tension control","volume":"9","author":"Dyn","year":"1990","journal-title":"ACM Trans Graph"},{"issue":"5","key":"10.1016\/j.cag.2026.104652_b5","doi-asserted-by":"crossref","DOI":"10.1111\/cgf.14900","article-title":"Quadratic-attraction subdivision","volume":"42","author":"Kar\u010diauskas","year":"2023","journal-title":"Comput Graph Forum"},{"issue":"2","key":"10.1016\/j.cag.2026.104652_b6","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1111\/cgf.14764","article-title":"Evolving guide subdivision","volume":"42","author":"Kar\u010diauskas","year":"2023","journal-title":"Comput Graph Forum"},{"issue":"4","key":"10.1016\/j.cag.2026.104652_b7","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/0167-8396(94)90205-4","article-title":"Filling polygonal holes with bicubic patches","volume":"11","author":"Gregory","year":"1994","journal-title":"Comput Aided Geom Design"},{"key":"10.1016\/j.cag.2026.104652_b8","doi-asserted-by":"crossref","DOI":"10.1016\/j.cad.2020.102855","article-title":"A multisided C2 B-spline patch over extraordinary vertices in quadrilateral meshes","volume":"127","author":"Hettinga","year":"2020","journal-title":"Comput-Aided Des"},{"key":"10.1016\/j.cag.2026.104652_b9","doi-asserted-by":"crossref","DOI":"10.1016\/j.cad.2023.103543","article-title":"Improved caps for improved subdivision surfaces","volume":"162","author":"Kar\u010diauskas","year":"2023","journal-title":"Comput-Aided Des"},{"key":"10.1016\/j.cag.2026.104652_b10","series-title":"Proceedings of the 27th annual conference on computer graphics and interactive techniques - SIGGRAPH \u201900","first-page":"255","article-title":"Patching Catmull-Clark meshes","author":"Peters","year":"2000"},{"issue":"1","key":"10.1016\/j.cag.2026.104652_b11","doi-asserted-by":"crossref","first-page":"8:1","DOI":"10.1145\/1330511.1330519","article-title":"Approximating Catmull-Clark subdivision surfaces with bicubic patches","volume":"27","author":"Loop","year":"2008","journal-title":"ACM Trans Graph"},{"key":"10.1016\/j.cag.2026.104652_b12","doi-asserted-by":"crossref","DOI":"10.1016\/j.cagd.2022.102158","article-title":"G1 \u2013 Smooth biquintic approximation of Catmull-Clark subdivision surfaces","volume":"99","author":"Marsala","year":"2022","journal-title":"Comput Aided Geom Design"},{"issue":"6","key":"10.1016\/j.cag.2026.104652_b13","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1016\/j.gmod.2014.09.001","article-title":"Flexible G1 interpolation of quad meshes","volume":"76","author":"Bonneau","year":"2014","journal-title":"Graph Model"},{"key":"10.1016\/j.cag.2026.104652_b14","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.cagd.2017.03.003","article-title":"G1-smooth splines on quad meshes with 4-split macro-patch elements","volume":"52\u201353","author":"Blidia","year":"2017","journal-title":"Comput Aided Geom Design"},{"key":"10.1016\/j.cag.2026.104652_b15","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.cad.2017.12.002","article-title":"Construction of analysis-suitable G1 planar multi-patch parameterizations","volume":"97","author":"Kapl","year":"2018","journal-title":"Comput-Aided Des"},{"key":"10.1016\/j.cag.2026.104652_b16","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2025.116836","article-title":"A Cs-smooth mixed degree and regularity isogeometric spline space over planar multi-patch domains","volume":"473","author":"Kapl","year":"2026","journal-title":"J Comput Appl Math"},{"issue":"39-41","key":"10.1016\/j.cag.2026.104652_b17","doi-asserted-by":"crossref","first-page":"4135","DOI":"10.1016\/j.cma.2004.10.008","article-title":"Isogeometric analysis: cad, finite elements, nurbs, exact geometry and mesh refinement","volume":"194","author":"Hughes","year":"2005","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"10.1016\/j.cag.2026.104652_b18","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2023.116659","article-title":"A comparison of smooth basis constructions for isogeometric analysis","volume":"419","author":"Verhelst","year":"2024","journal-title":"Comput Methods Appl Mech Engrg"},{"issue":"09","key":"10.1016\/j.cag.2026.104652_b19","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1142\/S0218202523500434","article-title":"Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains","volume":"33","author":"Bracco","year":"2023","journal-title":"Math Models Methods Appl Sci"},{"issue":"6","key":"10.1016\/j.cag.2026.104652_b20","doi-asserted-by":"crossref","first-page":"3429","DOI":"10.1007\/s00366-024-02065-0","article-title":"From CAD to representations suitable for isogeometric analysis: A complete pipeline","volume":"40","author":"Marsala","year":"2024","journal-title":"Eng Comput"},{"key":"10.1016\/j.cag.2026.104652_b21","doi-asserted-by":"crossref","DOI":"10.1016\/j.cag.2014.09.004","article-title":"Smooth multi-sided blending of biquadratic splines","author":"Kar\u010diauskas","year":"2015","journal-title":"Comput Graph"},{"key":"10.1016\/j.cag.2026.104652_b22","doi-asserted-by":"crossref","DOI":"10.1016\/j.cagd.2020.101908","article-title":"Smooth polar caps for locally quad-dominant meshes","volume":"81","author":"Kar\u010diauskas","year":"2020","journal-title":"Comput Aided Geom Design"},{"key":"10.1016\/j.cag.2026.104652_b23","doi-asserted-by":"crossref","DOI":"10.1016\/j.cagd.2020.101934","article-title":"Low degree splines for locally quad-dominant meshes","volume":"83","author":"Kar\u010diauskas","year":"2020","journal-title":"Comput Aided Geom Design"},{"issue":"1","key":"10.1016\/j.cag.2026.104652_b24","doi-asserted-by":"crossref","first-page":"7:1","DOI":"10.1145\/3570158","article-title":"Algorithm 1032: Bi-cubic Splines for polyhedral control nets","volume":"49","author":"Peters","year":"2023","journal-title":"ACM Trans Math Software"},{"issue":"1","key":"10.1016\/j.cag.2026.104652_b25","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0167-8396(89)90006-X","article-title":"Geometric continuous patch complexes","volume":"6","author":"Hahn","year":"1989","journal-title":"Comput Aided Geom Design"},{"issue":"2","key":"10.1016\/j.cag.2026.104652_b26","doi-asserted-by":"crossref","first-page":"728","DOI":"10.1137\/S0036142996304346","article-title":"Analysis of algorithms generalizing B-spline subdivision","volume":"35","author":"Peters","year":"1998","journal-title":"SIAM J Numer Anal"},{"key":"10.1016\/j.cag.2026.104652_b27","series-title":"Introduction to the mathematics of subdivision surfaces","isbn-type":"print","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898717617","author":"Andersson","year":"2010","ISBN":"https:\/\/id.crossref.org\/isbn\/9780898716979"},{"key":"10.1016\/j.cag.2026.104652_b28","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.gmod.2014.10.003","article-title":"Point-augmented biquadratic C1 subdivision surfaces","volume":"77","author":"Kar\u010diauskas","year":"2015","journal-title":"Graph Model"},{"key":"10.1016\/j.cag.2026.104652_b29","series-title":"Proceedings of the 21st annual conference on computer graphics and interactive techniques - SIGGRAPH \u201994","isbn-type":"print","first-page":"303","article-title":"Smooth spline surfaces over irregular meshes","author":"Loop","year":"1994","ISBN":"https:\/\/id.crossref.org\/isbn\/9780897916677"},{"issue":"1","key":"10.1016\/j.cag.2026.104652_b30","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1145\/27625.27628","article-title":"Polyhedral subdivision methods for free-form surfaces","volume":"6","author":"Nasri","year":"1987","journal-title":"ACM Trans Graph"},{"issue":"1","key":"10.1016\/j.cag.2026.104652_b31","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-8396(88)90016-7","article-title":"Algorithms for polynomials in Bernstein form","volume":"5","author":"Farouki","year":"1988","journal-title":"Comput Aided Geom Design"},{"issue":"9","key":"10.1016\/j.cag.2026.104652_b32","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1016\/0010-4485(90)90041-A","article-title":"On the G1 continuity of piecewise B\u00e9zier surfaces: A review with new results","volume":"22","author":"Du","year":"1990","journal-title":"Comput-Aided Des"},{"key":"10.1016\/j.cag.2026.104652_b33","series-title":"Bezier and B-spline techniques","isbn-type":"print","author":"Prautzsch","year":"2002","ISBN":"https:\/\/id.crossref.org\/isbn\/9783540437611"},{"key":"10.1016\/j.cag.2026.104652_b34","series-title":"Shape analysis and structuring","isbn-type":"print","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-540-33265-7_1","article-title":"Shape interrogation","author":"Hahmann","year":"2008","ISBN":"https:\/\/id.crossref.org\/isbn\/9783540332657"},{"key":"10.1016\/j.cag.2026.104652_b35","series-title":"Mathematical aspects of computer and information sciences","isbn-type":"print","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/978-3-030-43120-4_35","article-title":"An overview of geometry plus simulation modules","author":"Mantzaflaris","year":"2020","ISBN":"https:\/\/id.crossref.org\/isbn\/9783030431204"},{"key":"10.1016\/j.cag.2026.104652_b36","series-title":"SurfLab shape gallery page","year":"2026"},{"issue":"2","key":"10.1016\/j.cag.2026.104652_b37","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/38.19051","article-title":"Curvature and the fairness of curves and surfaces","volume":"9","author":"Farin","year":"1989","journal-title":"IEEE Comput Graph Appl"}],"container-title":["Computers & Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097849326001238?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097849326001238?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T16:33:37Z","timestamp":1784306017000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0097849326001238"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8]]},"references-count":37,"alternative-id":["S0097849326001238"],"URL":"https:\/\/doi.org\/10.1016\/j.cag.2026.104652","relation":{},"ISSN":["0097-8493"],"issn-type":[{"value":"0097-8493","type":"print"}],"subject":[],"published":{"date-parts":[[2026,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Approximating Doo\u2013Sabin limit surfaces using geometrically continuous B\u00e9zier patches","name":"articletitle","label":"Article Title"},{"value":"Computers & Graphics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cag.2026.104652","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Authors. Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}],"article-number":"104652"}}