{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T08:13:26Z","timestamp":1765354406154},"reference-count":42,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2014,11,1]],"date-time":"2014-11-01T00:00:00Z","timestamp":1414800000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"DFG","doi-asserted-by":"publisher","award":["IRTG 1131","INST 248\/72-1"],"award-info":[{"award-number":["IRTG 1131","INST 248\/72-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ERC Advanced Grant Expressive"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Graphical Models"],"published-print":{"date-parts":[[2014,11]]},"DOI":"10.1016\/j.gmod.2014.09.001","type":"journal-article","created":{"date-parts":[[2014,9,21]],"date-time":"2014-09-21T21:50:26Z","timestamp":1411336226000},"page":"669-681","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":23,"title":["Flexible G1 interpolation of quad meshes"],"prefix":"10.1016","volume":"76","author":[{"given":"Georges-Pierre","family":"Bonneau","sequence":"first","affiliation":[]},{"given":"Stefanie","family":"Hahmann","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.gmod.2014.09.001_b0005","unstructured":"Iso 10303-1:1994 industrial automation systems and integration product data representation and exchange \u2013 overview and fundamental principles, international standard. ISO TC184\/SC4, 1994."},{"key":"10.1016\/j.gmod.2014.09.001_b0010","first-page":"51","volume":"vol. II","author":"Bonneau","year":"1994","journal-title":"Curves and Surfaces"},{"key":"10.1016\/j.gmod.2014.09.001_b0015","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/0010-4485(78)90110-0","article-title":"Recursive generated B-spline surfaces on arbitrary topological meshes","volume":"10","author":"Catmull","year":"1978","journal-title":"Comput. Aid.-Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0020","doi-asserted-by":"crossref","unstructured":"H. Chiyokura, F. Kimura, Design of solids with free-form surfaces, in: Computer Graphics Proceedings (SIGGRAPH \u201983), 1983, pp. 289\u2013298.","DOI":"10.1145\/964967.801160"},{"key":"10.1016\/j.gmod.2014.09.001_b0025","series-title":"Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201999","first-page":"317","article-title":"Implicit fairing of irregular meshes using diffusion and curvature flow","author":"Desbrun","year":"1999"},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0030","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":"2","key":"10.1016\/j.gmod.2014.09.001_b0035","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.cad.2010.11.002","article-title":"Smooth Bi-3 spline surfaces with fewest knots","volume":"43","author":"Fan","year":"2011","journal-title":"Comput. Aid. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0040","doi-asserted-by":"crossref","unstructured":"G. Greiner, Variational design and fairing of spline surfaces, in: Proc. Eurographics 1994, 1994, pp. 143\u2013154.","DOI":"10.1111\/1467-8659.1330143"},{"key":"10.1016\/j.gmod.2014.09.001_b0045","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0167-8396(87)90014-8","article-title":"Automatics smoothing with geometric surface patches","author":"Hagen","year":"1987","journal-title":"Comput. Aid. Geom. Des."},{"issue":"8","key":"10.1016\/j.gmod.2014.09.001_b0050","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1016\/S0167-8396(00)00021-2","article-title":"Triangular G1 interpolation by 4-splitting domain triangles","volume":"17","author":"Hahmann","year":"2000","journal-title":"Comput. Aid. Geom. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0055","series-title":"GMP\u201908: Proceedings of the 5th International Conference on Advances in Geometric Modeling and Processing","first-page":"17","article-title":"Bicubic G1 interpolation of irregular quad meshes using a 4-split","author":"Hahmann","year":"2008"},{"key":"10.1016\/j.gmod.2014.09.001_b0060","series-title":"Theory and Practice of Geometric Modeling","first-page":"81","article-title":"Filling polygonal holes with rectangular patches","author":"Hahn","year":"1989"},{"key":"10.1016\/j.gmod.2014.09.001_b0065","doi-asserted-by":"crossref","unstructured":"M. Halstead, M. Kass, T. DeRose, Efficient, fair interpolation using Catmull\u2013Clark surfaces, in: Computer Graphics Proceedings (SIGGRAPH 93), 1993, pp. 35\u201344.","DOI":"10.1145\/166117.166121"},{"issue":"11","key":"10.1016\/j.gmod.2014.09.001_b0070","doi-asserted-by":"crossref","first-page":"1341","DOI":"10.1016\/j.cad.2011.08.021","article-title":"Triangular bubble spline surfaces","volume":"43","author":"Kapl","year":"2011","journal-title":"Comput. Aid. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0075","unstructured":"K. Karciauskas, J. Peters, Biquintic G2 surfaces, in: R.J. Cripps, G. Mullineux, M.A. Sabin (Eds.), The Mathematics of Surfaces, vol. XIV, The Institute of Mathematics and its Applications, 2013, pp. 213\u2013236."},{"issue":"3","key":"10.1016\/j.gmod.2014.09.001_b0080","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1111\/1467-8659.1530409","article-title":"Interpolatory subdivision on open quadrilateral nets with arbitrary topology","volume":"15","author":"Kobbelt","year":"1996","journal-title":"Comput. Graph. Forum"},{"key":"10.1016\/j.gmod.2014.09.001_b0085","unstructured":"S.N. Laboratoriesl\u2019auteur, Acro: A Common Repository for Optimizers. <https:\/\/software.sandia.gov\/trac\/acro>."},{"issue":"7","key":"10.1016\/j.gmod.2014.09.001_b0090","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1016\/j.cagd.2012.03.008","article-title":"An alternative method for constructing interpolatory subdivision from approximating subdivision","volume":"29","author":"Li","year":"2012","journal-title":"Comput. Aid. Geom. Des."},{"issue":"12","key":"10.1016\/j.gmod.2014.09.001_b0095","doi-asserted-by":"crossref","first-page":"1134","DOI":"10.1016\/j.cad.2007.10.002","article-title":"Adaptive patch-based mesh fitting for reverse engineering","volume":"39","author":"Lin","year":"2007","journal-title":"Comput. Aid. Des."},{"issue":"4","key":"10.1016\/j.gmod.2014.09.001_b0100","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0010-4485(94)90072-8","article-title":"G1 interpolation of mesh curves","volume":"26","author":"Liu","year":"1994","journal-title":"Comput.-Aid. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0105","doi-asserted-by":"crossref","unstructured":"Y. Liu, S. Mann, Approximate continuity for parametric B\u00e9zier patches, in: SPM \u201907 ACM Symposium on Solid and Physical Modeling, 2007, pp. 315\u2013321.","DOI":"10.1145\/1236246.1236291"},{"key":"10.1016\/j.gmod.2014.09.001_b0110","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0167-8396(94)90005-1","article-title":"A G1 triangular spline surface of arbitrary topological type","volume":"11","author":"Loop","year":"1994","journal-title":"Comput. Aid. Geom. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0115","doi-asserted-by":"crossref","unstructured":"C. Loop, T.D. DeRose, Generalized B-spline surfaces of arbitrary topology, in: Computer Graphics Proceedings (SIGGRAPH 90), 1990, pp. 347\u2013356.","DOI":"10.1145\/97880.97917"},{"issue":"5","key":"10.1016\/j.gmod.2014.09.001_b0120","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/38.156012","article-title":"Parametric surface interpolation","volume":"12","author":"Lounsbery","year":"1992","journal-title":"IEEE Comput. Graph. Appl."},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0125","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1145\/142920.134035","article-title":"Functional optimisation for fair surface design","volume":"26","author":"Moreton","year":"1992","journal-title":"Comput. Graph."},{"key":"10.1016\/j.gmod.2014.09.001_b0130","series-title":"Some Piecewise Polynomial Alternatives to Splines Under Tension","author":"Nielson","year":"1974"},{"issue":"1","key":"10.1016\/j.gmod.2014.09.001_b0135","doi-asserted-by":"crossref","first-page":"6:1","DOI":"10.1145\/2077341.2077347","article-title":"Feature-adaptive GPU rendering of Catmull\u2013Clark subdivision surfaces","volume":"31","author":"Nie\u00dfner","year":"2012","journal-title":"ACM Trans. Graph."},{"key":"10.1016\/j.gmod.2014.09.001_b0140","series-title":"Surfaces in CAGD","first-page":"121","article-title":"Design and fairing of ship surfaces","author":"Nowacki","year":"1983"},{"key":"10.1016\/j.gmod.2014.09.001_b0145","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/BF01888155","article-title":"Smooth interpolation of a mesh of curves","volume":"7","author":"Peters","year":"1991","journal-title":"Constr. Approx."},{"issue":"12","key":"10.1016\/j.gmod.2014.09.001_b0150","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1016\/0010-4485(95)00010-0","article-title":"Biquartic C1-surface splines over irregular meshes","volume":"27","author":"Peters","year":"1995","journal-title":"Comput.-Aid. Des."},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0155","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1137\/0732029","article-title":"C1 surface splines","volume":"32","author":"Peters","year":"1995","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0160","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0167-8396(01)00081-4","article-title":"C2 free-form surfaces of degree (3,5)","volume":"19","author":"Peters","year":"2002","journal-title":"Comput. Aid. Geom. Des."},{"issue":"1","key":"10.1016\/j.gmod.2014.09.001_b0165","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.cagd.2009.09.003","article-title":"On the complexity of smooth spline surfaces from quad meshes","volume":"27","author":"Peters","year":"2010","journal-title":"Comput. Aid. Geom. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0170","unstructured":"Pixar. Open Subdiv, Subdivision Surface Library, 2012. <http:\/\/graphics.pixar.com\/opensubdiv\/>."},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0175","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0167-8396(84)90028-1","article-title":"Detecting surface irregularities using isophotes","volume":"1","author":"Poeschl","year":"1984","journal-title":"Comput. Aid. Geom. Des."},{"issue":"7","key":"10.1016\/j.gmod.2014.09.001_b0180","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/j.cagd.2005.06.006","article-title":"A variational approach to spline curves on surfaces","volume":"22","author":"Pottmann","year":"2005","journal-title":"Comput. Aided Geom. Des."},{"issue":"2","key":"10.1016\/j.gmod.2014.09.001_b0185","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0167-8396(94)00009-H","article-title":"Biquadratic G-spline surfaces","volume":"12","author":"Reif","year":"1995","journal-title":"Comput. Aid. Geom. Des."},{"issue":"1\u20132","key":"10.1016\/j.gmod.2014.09.001_b0190","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0167-8396(87)90022-7","article-title":"G1 interpolation of generally unrestricted cubic B\u00e9zier curves","volume":"4","author":"Sarraga","year":"1987","journal-title":"Comput. Aid. Geom. Des."},{"issue":"5","key":"10.1016\/j.gmod.2014.09.001_b0195","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/S0010-4485(03)00111-8","article-title":"A practical construction of G1 smooth biquintic B-spline surfaces over arbitrary topology","volume":"36","author":"Shi","year":"2004","journal-title":"Comput.-Aid. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0200","series-title":"Introduction to Applied Mathematics","author":"Strang","year":"1986"},{"issue":"1","key":"10.1016\/j.gmod.2014.09.001_b0205","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-8396(86)90021-X","article-title":"Bicubic patches for approximating non-rectangular control-point meshes","volume":"3","author":"Wijk","year":"1986","journal-title":"Comput. Aid. Geom. Des."},{"key":"10.1016\/j.gmod.2014.09.001_b0210","doi-asserted-by":"crossref","unstructured":"D. Zorin, P. Schr\u00f6der, W. Sweldens, Interpolating subdivision for meshes with arbitrary topology, in: Computer Graphics Proceedings (SIGGRAPH 96), 1996, pp. 189\u2013192.","DOI":"10.1145\/237170.237254"}],"container-title":["Graphical Models"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1524070314000484?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1524070314000484?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,8,15]],"date-time":"2019-08-15T03:01:22Z","timestamp":1565838082000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1524070314000484"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11]]},"references-count":42,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2014,11]]}},"alternative-id":["S1524070314000484"],"URL":"https:\/\/doi.org\/10.1016\/j.gmod.2014.09.001","relation":{},"ISSN":["1524-0703"],"issn-type":[{"value":"1524-0703","type":"print"}],"subject":[],"published":{"date-parts":[[2014,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Flexible G1 interpolation of quad meshes","name":"articletitle","label":"Article Title"},{"value":"Graphical Models","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.gmod.2014.09.001","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2014 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}