{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:25:03Z","timestamp":1761611103859,"version":"3.40.5"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1999,2,1]],"date-time":"1999-02-01T00:00:00Z","timestamp":917827200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,2,1]],"date-time":"1999-02-01T00:00:00Z","timestamp":917827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Computational Mathematics"],"published-print":{"date-parts":[[1999,2]]},"DOI":"10.1023\/a:1018922530826","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T22:07:13Z","timestamp":1045692433000},"page":"209-217","source":"Crossref","is-referenced-by-count":29,"title":["Degree estimates for C\n              k\u2010piecewise polynomial subdivision surfaces"],"prefix":"10.1007","volume":"10","author":[{"given":"Hartmut","family":"Prautzsch","sequence":"first","affiliation":[]},{"given":"Ulrich","family":"Reif","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"6","key":"325327_CR1","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/0010-4485(78)90110-0","volume":"10","author":"E. Catmull","year":"1978","unstructured":"E. Catmull and J. Clark, Recursively generated b-spline surfaces on arbitrary topological meshes, Comput. Aided Design 10(6) (1978) 350-355.","journal-title":"Comput. Aided Design"},{"key":"325327_CR2","unstructured":"D.W.H. Doo, A subdivision algorithm for smoothing down irregular shaped polyhedrons, in: Proceedings of Conf. on Interactive Techniques in Computer Aided Design, Bologna (IEEE, 1978) pp. 157-165."},{"issue":"6","key":"325327_CR3","doi-asserted-by":"publisher","first-page":"356","DOI":"10.1016\/0010-4485(78)90111-2","volume":"10","author":"D.W.H. Doo","year":"1978","unstructured":"D.W.H. Doo and M. Sabin, Behaviour of recursive division surfaces near extraordinary points, Comput. Aided Design 10(6) (1978) 356-360.","journal-title":"Comput. Aided Design"},{"key":"325327_CR4","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1145\/78956.78958","volume":"9","author":"N. Dyn","year":"1990","unstructured":"N. Dyn, J. Gregory and D. Levin, A butterfly subdivision scheme for surface interpolation with tension control, ACM Trans. Graphics 9 (1990) 160-169.","journal-title":"ACM Trans. Graphics"},{"key":"325327_CR5","unstructured":"L. Kobbelt, Iterative Erzeugung glatter Interpolanten, Ph.D. thesis, Universit\u00e4t Karlsruhe (1994)."},{"key":"325327_CR6","unstructured":"C.T. Loop, Smooth subdivision surfaces based on triangles, Master's thesis, University of Utah (1987)."},{"key":"325327_CR7","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1145\/263834.263851","volume":"16","author":"J. Peters","year":"1997","unstructured":"J. Peters and U. Reif, The simplest subdivision scheme for smoothing polyhedra, ACM Transactions on Graphics 16 (1997) 420-431.","journal-title":"ACM Transactions on Graphics"},{"key":"325327_CR8","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1023\/A:1018945708536","volume":"9","author":"H. Prautzsch","year":"1998","unstructured":"H. Prautzsch, Smoothness of subdivision surfaces at extraordinary points, Adv. Comput. Math. 9 (1998) 377-389.","journal-title":"Adv. Comput. Math."},{"key":"325327_CR9","unstructured":"R. Qu, Recursive subdivision algorithms for curve and surface design, Ph.D. thesis, Brunel University (1990)."},{"key":"325327_CR10","first-page":"367","volume-title":"Series in Approximations and Decompositions","author":"U. Reif","year":"1995","unstructured":"U. Reif, Some new results on subdivision algorithms for meshes of arbitrary topology, in wavelets and multilevel approximation, in: Series in Approximations and Decompositions, Vol. 2, eds. C.K. Chui and L.L. Schumaker (World Scientific, River Edge, NJ, 1995) pp. 367-374."},{"issue":"7","key":"325327_CR11","doi-asserted-by":"publisher","first-page":"2167","DOI":"10.1090\/S0002-9939-96-03366-7","volume":"124","author":"U. Reif","year":"1996","unstructured":"U. Reif, A degree estimate for subdivision surfaces of higher regularity, Proc. of the AMS 124(7) (1996) 2167-2174.","journal-title":"Proc. of the AMS"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018922530826.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1018922530826\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018922530826.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T23:11:38Z","timestamp":1747437098000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1018922530826"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,2]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1999,2]]}},"alternative-id":["325327"],"URL":"https:\/\/doi.org\/10.1023\/a:1018922530826","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[1999,2]]}}}