{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T17:53:37Z","timestamp":1725472417846},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540332749"},{"type":"electronic","value":"9783540332756"}],"license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/978-3-540-33275-6_3","type":"book-chapter","created":{"date-parts":[[2006,11,1]],"date-time":"2006-11-01T17:00:19Z","timestamp":1162400419000},"page":"37-51","source":"Crossref","is-referenced-by-count":3,"title":["Piecewise approximate implicitization: experiments using industrial data"],"prefix":"10.1007","author":[{"given":"Mohamed F.","family":"Shalaby","sequence":"first","affiliation":[]},{"given":"Jan B.","family":"Thomassen","sequence":"additional","affiliation":[]},{"given":"Elmar M.","family":"Wurm","sequence":"additional","affiliation":[]},{"given":"Tor","family":"Dokken","sequence":"additional","affiliation":[]},{"given":"Bert","family":"J\u00fcttler","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"4","key":"3_CR1_3","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1145\/77269.77272","volume":"8","author":"J Chuang","year":"1989","unstructured":"Chuang, J., Hoffmann, C.: On local implicit approximation and its applications. ACM Trans. Graphics 8, 4:298-324, (1989)","journal-title":"Graphics"},{"key":"3_CR2_3","doi-asserted-by":"crossref","unstructured":"Corless, R., Giesbrecht, M., Kotsireas, I., Watt., S.: Numerical implicitization of parametric hypersurfaces with linear algebra. In: AISC\u20192000 Proceedings, Springer, LNAI 1930.","DOI":"10.1007\/3-540-44990-6_13"},{"key":"3_CR3_3","volume-title":"Ideals, Varieties and Algorithms","author":"D Cox","year":"1997","unstructured":"Cox, D., Little, J., O\u2019Shea, D.: Ideals, Varieties and Algorithms, Springer, New York 1997."},{"key":"3_CR4_3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6911-1","volume-title":"Using algebraic geometry","author":"D Cox","year":"1998","unstructured":"Cox, D., Little, J., O\u2019Shea, D,: Using algebraic geometry, Springer Verlag, New York 1998."},{"key":"3_CR5_3","unstructured":"Cox, D., Goldman, R., Zhang, M.: On the validity of implicitization by moving quadrics for rational surfaces with no base points, J. Symbolic Computation, 11,(1999)"},{"key":"3_CR6_3","unstructured":"Dokken, T.: Approximate Implicitization, in: Lyche, T., Schumaker, L. (eds.), Mathematical methods in CAGD, Nashboro Press, 2001, 1-25."},{"key":"3_CR7_3","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1090\/conm\/334\/05981","volume":"334","author":"T Dokken","year":"2003","unstructured":"Dokken, T., Thomassen, J.: Overview of Approximate Implicitization, in: Topics in Algebraic Geometry and Geometric Modeling, AMS Cont. Math. 334 (2003), 169-184.","journal-title":"AMS Cont. Math"},{"key":"3_CR8_3","unstructured":"Dokken, T., Thomassen, J.: Weak approximate implicitization, preprint, 2005."},{"key":"3_CR9_3","unstructured":"Elkadi, M., Mourrain B.: Residue and Implicitization Problem for Rational Surfaces, Applicable Algebra in Engineering, Communication and Computing, (2004),361-379."},{"key":"3_CR10_3","unstructured":"Farin, G.: Curves and Surfaces for Computer Aided Geometric Design, Academic Press, 2002."},{"key":"3_CR11_3","unstructured":"PoVRAY Benchmarks, \n                  http:\/\/new.haveland.com\/povbench\/graph.php"},{"key":"3_CR12_3","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1109\/38.180121","volume":"13","author":"C Hoffmann","year":"1993","unstructured":"Hoffmann, C.: Implicit Curves and Surfaces in CAGD, Comp. Graphics and Applics. 13:79-88, (1993)","journal-title":"Comp. Graphics and Applics."},{"key":"3_CR13_3","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1023\/A:1015200504295","volume":"17","author":"B J\u00fcttler","year":"2002","unstructured":"J\u00fcttler, B., Felis, A.: Least-squares fitting of algebraic spline surfaces, Advances in Computational Mathematics 17:135-152, (2002)","journal-title":"Advances in Computational Mathematics"},{"key":"3_CR14_3","first-page":"240","volume-title":"Symposium on Geometry Processing, Eurographics \/ ACM","author":"B J\u00fcttler","year":"2003","unstructured":"J\u00fcttler, B., Wurm, E.: Approximate implicitization via curve fitting, in L. Kobbelt, P. Schr\u00f6der, H. Hoppe (eds.), Symposium on Geometry Processing, Eurographics \/ ACM Siggraph, New York 2003, 240-247."},{"key":"3_CR15_3","unstructured":"Lee, K.W.: Principles of CAD\/CAM\/CAE Systems, Prentice Hall, 1999."},{"key":"3_CR16_3","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/3-540-27157-0_11","volume-title":"Computational Methods for Algebraic Spline Surfaces","author":"J Thomassen","year":"2005","unstructured":"Thomassen, J., Self-intersection problems and approximate implicitization, in: Dokken, T., J\u00fcttler, B. (eds.), Computational Methods for Algebraic Spline Surfaces, Springer, Berlin 2005, 155-170."},{"key":"3_CR17_3","first-page":"301","volume":"29","author":"T. Sederberg","year":"1995","unstructured":"Sederberg, T., Chen F.: Implicitization using moving curves and surfaces. Siggraph 1995, 29:301-308, (1995)","journal-title":"Siggraph"},{"key":"3_CR18_3","unstructured":"\u0160\u0131r, Z.: Fitting of Piecewise Polynomial Implicit Surfaces, Proc. of the 24rd Conference on Geometry and Computer Graphics, University of Ostrava 2004, 202-206."},{"issue":"2-3","key":"3_CR19_3","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1006\/jsco.1996.0080","volume":"23","author":"L Gonzalez-Vega","year":"1997","unstructured":"Gonzalez-Vega, L.: Implicitization of parametric curves and surfaces by using multidimensional Newton formulae. J. Symb. Comput. 23(2-3), 137-151 (1997)","journal-title":"J. Symb. Comput."},{"key":"3_CR20_3","first-page":"537","volume-title":"Geometric Modeling and Computing: Seattle 2003","author":"E Wurm","year":"2004","unstructured":"Wurm, E., Thomassen, J., J\u00fcttler, B., Dokken, T.: Comparative Benchmark-ing of Methods for Approximate Implicitization, in: Neamtu, M., and Lucian, M. (eds.), Geometric Modeling and Computing: Seattle 2003, Nashboro Press, Brentwood 2004, 537-548."}],"container-title":["Mathematics and Visualization","Algebraic Geometry and Geometric Modeling"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-33275-6_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T15:56:02Z","timestamp":1558367762000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-33275-6_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540332749","9783540332756"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-33275-6_3","relation":{},"ISSN":["1612-3786"],"issn-type":[{"type":"print","value":"1612-3786"}],"subject":[],"published":{"date-parts":[[2006]]}}}