{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T19:29:03Z","timestamp":1773084543863,"version":"3.50.1"},"reference-count":15,"publisher":"Elsevier BV","issue":"10","license":[{"start":{"date-parts":[[1993,10,1]],"date-time":"1993-10-01T00:00:00Z","timestamp":749433600000},"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":[[1993,10]]},"DOI":"10.1016\/0010-4485(93)90019-k","type":"journal-article","created":{"date-parts":[[2003,3,14]],"date-time":"2003-03-14T14:47:17Z","timestamp":1047653237000},"page":"644-654","source":"Crossref","is-referenced-by-count":15,"title":["Hodograph approach to geometric characterization of parametric cubic curves"],"prefix":"10.1016","volume":"25","author":[{"given":"Deok-Soo","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0010-4485(93)90019-K_BIB1","series-title":"Numerical Control: Mathematics and Applications","author":"B\u00e9zier","year":"1972"},{"issue":"No 4","key":"10.1016\/0010-4485(93)90019-K_BIB2","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0010-4485(80)90149-9","article-title":"The twisted cubic curve: a computer-aided geometric design approach","volume":"Vol 12","author":"Forrest","year":"1980","journal-title":"Comput.-aided Des."},{"issue":"No 4","key":"10.1016\/0010-4485(93)90019-K_BIB3","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0010-4485(81)90141-X","article-title":"Shape classification of the parametric cubic curve and parametric B-spline cubic curve","volume":"Vol 13","author":"Wang","year":"1981","journal-title":"Comput.-Aided Des."},{"issue":"No 3","key":"10.1016\/0010-4485(93)90019-K_BIB4","first-page":"259","article-title":"An affine invariant and its application in computational geometry","volume":"Vol 24","author":"Su","year":"1983","journal-title":"Sci. Sinica (Ser. A)"},{"issue":"No 3","key":"10.1016\/0010-4485(93)90019-K_BIB5","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1145\/77055.77056","article-title":"A geometric characterization of parametric cubic curves","volume":"Vol 8","author":"Stone","year":"1989","journal-title":"ACM Trans. Graph."},{"key":"10.1016\/0010-4485(93)90019-K_BIB6","article-title":"Surface visibility and automated machining","author":"Kim","year":"1988"},{"key":"10.1016\/0010-4485(93)90019-K_BIB7","first-page":"211","article-title":"Approximation of general curves by splines","volume":"Vol 1","author":"Eisenlohr","year":"1990"},{"key":"10.1016\/0010-4485(93)90019-K_BIB8","article-title":"Cones on B\u00e9zier curves and surfaces","author":"Kim","year":"1990"},{"issue":"No 5","key":"10.1016\/0010-4485(93)90019-K_BIB9","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0167-8396(88)90029-5","article-title":"Loop detection in surface patch intersections","author":"Sederberg","year":"1988","journal-title":"Comput. Aided Geom. Des."},{"key":"10.1016\/0010-4485(93)90019-K_BIB10","series-title":"Curves and Surfaces for Computer Aided Geometric Design","author":"Farin","year":"1988"},{"key":"10.1016\/0010-4485(93)90019-K_BIB11","unstructured":"Kim, D S, Woo T C and Papalambros, P Y \u2018Tangent, normal and visibility cones for B\u00e9zier surfaces\u2019 Comput. Aided Geom. Des. (submitted for publication)"},{"key":"10.1016\/0010-4485(93)90019-K_BIB12","series-title":"Computational Geometry \u2014 An Introduction","author":"Preparata","year":"1985"},{"key":"10.1016\/0010-4485(93)90019-K_BIB13","series-title":"Computational Geometry for Design and Manufacture","author":"Faux","year":"1980"},{"key":"10.1016\/0010-4485(93)90019-K_BIB14","article-title":"Curves and surfaces for computer-aided design","author":"Forrest","year":"1968"},{"issue":"No 4","key":"10.1016\/0010-4485(93)90019-K_BIB15","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0167-8396(87)90008-2","article-title":"Rational hodographs","author":"Sederberg","year":"1987","journal-title":"Comput. Aided Geom. Des."}],"container-title":["Computer-Aided Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:001044859390019K?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:001044859390019K?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T20:27:26Z","timestamp":1553632046000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/001044859390019K"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,10]]},"references-count":15,"journal-issue":{"issue":"10","published-print":{"date-parts":[[1993,10]]}},"alternative-id":["001044859390019K"],"URL":"https:\/\/doi.org\/10.1016\/0010-4485(93)90019-k","relation":{},"ISSN":["0010-4485"],"issn-type":[{"value":"0010-4485","type":"print"}],"subject":[],"published":{"date-parts":[[1993,10]]}}}