{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T13:22:27Z","timestamp":1725715347409},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642056826"},{"type":"electronic","value":"9783662051054"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003]]},"DOI":"10.1007\/978-3-662-05105-4_10","type":"book-chapter","created":{"date-parts":[[2013,2,5]],"date-time":"2013-02-05T23:36:49Z","timestamp":1360107409000},"page":"189-200","source":"Crossref","is-referenced-by-count":1,"title":["Subdivision Invariant Polynomial Interpolation"],"prefix":"10.1007","author":[{"given":"Stefanie","family":"Hahmann","sequence":"first","affiliation":[]},{"given":"Georges-Pierre","family":"Bonneau","sequence":"additional","affiliation":[]},{"given":"Alex","family":"Yvart","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"10_CR1","first-page":"169","volume":"160","author":"N Dyn","year":"1990","unstructured":"Dyn N., Levin D., and Gregory J. (1990): A butterfly subdivision scheme for surface interpolation with tension control. ACM Transactions on Graphics 9 (2), 160 169","journal-title":"ACM Transactions on Graphics 9 (2)"},{"key":"10_CR2","volume-title":"Curves and Surfaces for Computer Aided Geometric Design","author":"G Farin","year":"1996","unstructured":"Farin G. (1996): Curves and Surfaces for Computer Aided Geometric Design. Academic Press, New York, 4th edition","edition":"4th edition"},{"key":"10_CR3","doi-asserted-by":"crossref","unstructured":"Forsey D., Bartels R. (1988): Hierarchical B-spline refinement. In Proceedings of SIGGRAPH 88, ACM SIGGRAPH, 1205\u2013212","DOI":"10.1145\/54852.378512"},{"key":"10_CR4","first-page":"159","volume":"15","author":"RN Goldman","year":"1983","unstructured":"Goldman R.N. (1983): Subdivision algorithms for B\u00e9zier triangles. CAD 15, 159\u2013166","journal-title":"CAD"},{"key":"10_CR5","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1016\/S0167-8396(00)00021-2","volume":"17","author":"S Hahmann","year":"2000","unstructured":"Hahmann S., Bonneau G-P. (2000): Triangular G1 interpolation by 4-splitting domain triangles. Computer Aided Geometric Design 17, 731\u2013757","journal-title":"Computer Aided Geometric Design"},{"key":"10_CR6","volume-title":"To appear","author":"S Hahmann","year":"2002","unstructured":"Hahmann S., Bonneau G-P. (2002): Parametric surfaces over arbitrary triangulations. IEEE Transactions on Visualization and Computer Graphics, to appear"},{"key":"10_CR7","volume-title":"and Lasser D","author":"J Hoschek","year":"1993","unstructured":"Hoschek J. and Lasser D. (1993): Fundamentals of Computer Aided Geometric Design. A.K. Peters."},{"key":"10_CR8","unstructured":"Jensen (1987): Assembling triangular and rectangular patches and multivariate splines. In: Farin, G. (ed) Geometric Modeling: Algorithms and new Trends. SIAM, 203\u2013220"},{"key":"10_CR9","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/0167-8396(94)90005-1","volume":"11","author":"C Loop","year":"1994","unstructured":"Loop C. (1994): A G1 triangular spline surface of arbitrary topological type. Computer Aided Geometric Design 11, 303\u2013330","journal-title":"Computer Aided Geometric Design"},{"key":"10_CR10","first-page":"71","volume":"55","author":"L Piegl","year":"1987","unstructured":"Piegl L. (1987): On NURBS: a Survey. Computer Graphics and Applications 11 (1), 55 71","journal-title":"Computer Graphics and Applications 11 (1)"},{"key":"10_CR11","unstructured":"Piper B.R. (1987): Visually smooth interpolation with triangular B\u00e9zier patches. In: Farin, G. (ed) Geometric Modeling: Algorithms and new Trends. SIAM, 221\u2013233"},{"key":"10_CR12","volume-title":"SIG-GRAPH course notes","author":"P Schr\u00f6der","year":"1999","unstructured":"Schr\u00f6der P., Zorin D. (1999): Subdivision for Modeling and Animation. SIG-GRAPH course notes."},{"key":"10_CR13","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1016\/0167-8396(87)90003-3","volume":"4","author":"LA Shirman","year":"1987","unstructured":"Shirman L.A., S\u00e9quin C.H. (1987): Local surface interpolation with B\u00e9zier patches. Computer Aided Geometric Design 4, 279\u2013295","journal-title":"Computer Aided Geometric Design"},{"key":"10_CR14","doi-asserted-by":"crossref","unstructured":"Zorin D., Schr\u00f6der P., and Sweldens W. (1996): Interpolating subdivision for meshes with arbitrary topology. In Proceedings of SIGGRAPH 96, ACM SIG-GRAPH, 189\u2013192","DOI":"10.1145\/237170.237254"}],"container-title":["Mathematics and Visualization","Visualization and Mathematics III"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-05105-4_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T22:23:24Z","timestamp":1557527004000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-05105-4_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003]]},"ISBN":["9783642056826","9783662051054"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-05105-4_10","relation":{},"ISSN":["1612-3786"],"issn-type":[{"type":"print","value":"1612-3786"}],"subject":[],"published":{"date-parts":[[2003]]}}}