{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T22:32:05Z","timestamp":1761517925134},"reference-count":27,"publisher":"Elsevier BV","issue":"14","license":[{"start":{"date-parts":[[1998,12,1]],"date-time":"1998-12-01T00:00:00Z","timestamp":912470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computer-Aided Design"],"published-print":{"date-parts":[[1998,12]]},"DOI":"10.1016\/s0010-4485(98)00064-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T22:58:05Z","timestamp":1027637885000},"page":"1077-1087","source":"Crossref","is-referenced-by-count":16,"title":["Approximate development of trimmed patches for surface tessellation"],"prefix":"10.1016","volume":"30","author":[{"given":"Wonjoon","family":"Cho","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicholas M","family":"Patrikalakis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jaime","family":"Peraire","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0010-4485(98)00064-5_BIB1","doi-asserted-by":"crossref","unstructured":"M\u00e4ntyl\u00e4, M., Advanced topics in solid modeling. In Advances in Computer Graphics V, ed. W. Purgathofer and J. Sch\u00f6nhut, J. Springer-Verlag, Berlin, 1989.","DOI":"10.1007\/978-3-642-61340-1_3"},{"issue":"12","key":"10.1016\/S0010-4485(98)00064-5_BIB2","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1109\/MCG.1986.276588","article-title":"Sculptured surfaces in solid models: issues and alternative approaches","volume":"6","author":"Miller","year":"1986","journal-title":"IEEE Computer Graphics and Applications"},{"issue":"1","key":"10.1016\/S0010-4485(98)00064-5_BIB3","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/MCG.1987.277025","article-title":"Free-form solid modeling with trimmed surface patches","volume":"7","author":"Casale","year":"1987","journal-title":"IEEE Computer Graphics and Applications"},{"issue":"10","key":"10.1016\/S0010-4485(98)00064-5_BIB4","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1016\/0010-4485(96)00013-9","article-title":"Robust interval solid modeling, Part I: Representations","volume":"28","author":"Hu","year":"1996","journal-title":"Computer Aided Design"},{"issue":"10","key":"10.1016\/S0010-4485(98)00064-5_BIB5","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1016\/0010-4485(96)00014-0","article-title":"Robust interval solid modeling, Part II: Boundary evaluation","volume":"28","author":"Hu","year":"1996","journal-title":"Computer Aided Design"},{"issue":"6","key":"10.1016\/S0010-4485(98)00064-5_BIB6","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1016\/0167-8396(95)00042-9","article-title":"Topologically reliable approximation of composite B\u00e9zier curves","volume":"13","author":"Cho","year":"1996","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB7","doi-asserted-by":"crossref","unstructured":"Cho, W., Topologically reliable approximation of curves and surfaces, Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, January 1996.","DOI":"10.1016\/0167-8396(95)00042-9"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB8","doi-asserted-by":"crossref","unstructured":"Cho, W., Maekawa, T., Patrikalakis, N.M. and Peraire, J., Topologically reliable approximation of trimmed polynomial surface patches, Graphical Models and Image Processing, 1999, 61(1).","DOI":"10.1006\/gmip.1999.0483"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB9","unstructured":"Cho, W., Maekawa, T., Patrikalakis, N.M. and Peraire, J., Robust tessellation of trimmed rational B-spline surface patches. In Computer Graphics International '98, ed. F.-E. Wolter and N.M. Patrikalakis. IEEE Computer Society, 1998, pp. 543\u2013555."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB10","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1137\/0713021","article-title":"On the angle condition in the finite element method","volume":"13","author":"Babu\u0161ka","year":"1976","journal-title":"SIAM Journal of Numerical Analysis"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB11","unstructured":"Strang, G. and Fix, G.J., An Analysis of the Finite Element Method, Prentice-Hall Inc., New Jersey, 1973."},{"issue":"8","key":"10.1016\/S0010-4485(98)00064-5_BIB12","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1016\/0010-4485(92)90011-X","article-title":"Triangulation of trimmed surfaces in parametric space","volume":"24","author":"Sheng","year":"1992","journal-title":"Computer Aided Design"},{"issue":"5","key":"10.1016\/S0010-4485(98)00064-5_BIB13","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/0010-4485(94)90025-6","article-title":"Finite-element mesh generation from constructive-solid-geometry models","volume":"26","author":"Boender","year":"1994","journal-title":"Computer Aided Design"},{"issue":"1","key":"10.1016\/S0010-4485(98)00064-5_BIB14","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/0010-4485(95)90749-6","article-title":"Tessellating trimmed NURBS surfaces","volume":"27","author":"Piegl","year":"1995","journal-title":"Computer Aided Design"},{"issue":"1","key":"10.1016\/S0010-4485(98)00064-5_BIB15","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/S0010-4485(97)00047-X","article-title":"Geometry-based triangulation of trimmed NURBS surfaces","volume":"30","author":"Piegl","year":"1998","journal-title":"Computer Aided Design"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB16","doi-asserted-by":"crossref","unstructured":"Klein, R. and Stra\u00dfer, W., Large mesh generation from boundary models with parametric face representation. In Third Symposium on Solid Modeling and Applications, ed. C. Hoffmann and J. Rossignac. ACM Press, 1995, pp. 431\u2013440.","DOI":"10.1145\/218013.218097"},{"issue":"1","key":"10.1016\/S0010-4485(98)00064-5_BIB17","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/0010-4485(95)00040-2","article-title":"Error bounded piecewise linear approximation of freeform surfaces","volume":"28","author":"Elber","year":"1996","journal-title":"Computer Aided Design"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB18","unstructured":"Agoston, M.K., Algebraic Topology. Marcel Dekker Inc., New York, 1976."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB19","unstructured":"Frey, W. H. and Bindschadler, D., Computer-aided design of a class of developable B\u00e9zier surfaces, General Motors, R&D Publication 8057, 1993."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB20","unstructured":"Struik, D.J., Lectures on Classical Differential Geometry. Addison-Wesley, Cambridge, MA, 1950."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB21","unstructured":"do Carmo, M. P., Differential Geometry of Curves and Surfaces. Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1976."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB22","unstructured":"Ma, S.D. and Lin, H., Optimal texture mapping. In Eurographics '88, ed. D.A. Duce and P. Jancene. Elsevier, Netherlands, 1988, pp. 421\u2013428."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB23","unstructured":"Press, W.H., Flannery, B.P., Teukoslky, S.A. and Vetterling, W.T., Numerical Recipes in C. Cambridge University Press, New York, 1988."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB24","doi-asserted-by":"crossref","unstructured":"Asano, T., Edahiro, M., Imai, H., Iri, M. and Murota, K., Practical use of bucketing technique in computational geometry. In Computational Geometry, Machine Intelligence and Pattern Recognition, vol. 2, ed. G. Toussaint. North Holland, 1985, pp. 153\u2013195.","DOI":"10.1016\/B978-0-444-87806-9.50011-6"},{"key":"10.1016\/S0010-4485(98)00064-5_BIB25","unstructured":"Cormen, T.H., Leiserson, C.E. and Rivest, R.L., Introduction to Algorithms. MIT Press, Cambridge, MA, 1990."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB26","unstructured":"Moore, R.E., Interval Analysis. Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1966."},{"key":"10.1016\/S0010-4485(98)00064-5_BIB27","unstructured":"Hoschek, J. and Lasser, D., Fundamentals of Computer Aided Geometric Design. Peters, A.K., Wellesley, MA, 1993."}],"container-title":["Computer-Aided Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0010448598000645?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0010448598000645?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T21:58:17Z","timestamp":1555192697000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0010448598000645"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,12]]},"references-count":27,"journal-issue":{"issue":"14","published-print":{"date-parts":[[1998,12]]}},"alternative-id":["S0010448598000645"],"URL":"https:\/\/doi.org\/10.1016\/s0010-4485(98)00064-5","relation":{},"ISSN":["0010-4485"],"issn-type":[{"type":"print","value":"0010-4485"}],"subject":[],"published":{"date-parts":[[1998,12]]}}}