{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:13:52Z","timestamp":1760886832400},"reference-count":20,"publisher":"Elsevier BV","issue":"1-4","license":[{"start":{"date-parts":[[1990,6,1]],"date-time":"1990-06-01T00:00:00Z","timestamp":644198400000},"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 Geometric Design"],"published-print":{"date-parts":[[1990,6]]},"DOI":"10.1016\/0167-8396(90)90027-o","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:41:40Z","timestamp":1027640500000},"page":"151-163","source":"Crossref","is-referenced-by-count":27,"title":["GC1 continuity conditions between two adjacent rational B\u00e9zier surface patches"],"prefix":"10.1016","volume":"7","author":[{"given":"Dingyuan","family":"Liu","sequence":"first","affiliation":[]}],"member":"78","reference":[{"year":"1972","series-title":"Numerical Control-Mathematics and Applications","author":"B\u00e9zier","key":"10.1016\/0167-8396(90)90027-O_BIB1"},{"key":"10.1016\/0167-8396(90)90027-O_BIB2","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0167-8396(87)90025-2","article-title":"Rational geometric splines","volume":"4","author":"Boehm","year":"1987","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB3","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/0010-4485(88)90111-X","article-title":"Visual continuity","volume":"20","author":"Boehm","year":"1988","journal-title":"Computer-aided Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-8396(84)90003-7","article-title":"A survey of curve and surface methods in CAGD","volume":"1","author":"Boehm","year":"1984","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB5","unstructured":"DeRose, T., Necessary and sufficient conditions for tangent plane continuity of B\u00e9zier surfaces, Preprint."},{"key":"10.1016\/0167-8396(90)90027-O_BIB6","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/0146-664X(82)90085-5","article-title":"A construction for the visual C1 continuity of polynomial surface patches","volume":"20","author":"Farin","year":"1982","journal-title":"Computer Graphics and Image Processing"},{"key":"10.1016\/0167-8396(90)90027-O_BIB7","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0010-4485(83)90171-9","article-title":"Algorithms for rational B\u00e9zier curves","volume":"15","author":"Farin","year":"1983","journal-title":"Computer-aided Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB8","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0167-8396(86)90016-6","article-title":"Triangular Bernstein-B\u00e9zier patches","volume":"3","author":"Farin","year":"1986","journal-title":"Computer Aided Geometric Design"},{"year":"1979","series-title":"Computational Geometry for Design and Manufacture","author":"Faux","key":"10.1016\/0167-8396(90)90027-O_BIB9"},{"key":"10.1016\/0167-8396(90)90027-O_BIB10","series-title":"Surfaces in CAGD","article-title":"Continuity of curvature between adjacent B\u00e9zier patches","author":"Kahmann","year":"1983"},{"key":"10.1016\/0167-8396(90)90027-O_BIB11","first-page":"70","article-title":"Rational B\u00e9zier curves","volume":"8","author":"Liu","year":"1985","journal-title":"Acta Math. Appl. Sinica"},{"key":"10.1016\/0167-8396(90)90027-O_BIB12","first-page":"109","article-title":"Inflexion points and singular points of planar rational cubic B\u00e9zier curves","author":"Liu","year":"1987","journal-title":"Proc. Sino-German CAD\/CAM Conference, Xian, China"},{"key":"10.1016\/0167-8396(90)90027-O_BIB13","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/0010-4485(89)90044-4","article-title":"GC1 continuity conditions between adjacent rectangular and triangular B\u00e9zier surface patches","volume":"21","author":"Liu","year":"1989","journal-title":"Computer-aided Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB14","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/0010-4485(86)90222-8","article-title":"Representation of rational B\u00e9zier curves and surfaces by recursive algorithms","volume":"18","author":"Piegl","year":"1986","journal-title":"Computer-aided Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB15","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/0010-4485(87)90234-X","article-title":"Curve and surface constructions using rational B-splines","volume":"19","author":"Piegl","year":"1987","journal-title":"Computer-aided Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB16","series-title":"Geometric Modeling","first-page":"221","article-title":"Visually smooth interpolation with triangular B\u00e9zier patches","author":"Piper","year":"1987"},{"key":"10.1016\/0167-8396(90)90027-O_BIB17","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0167-8396(87)90022-7","article-title":"G1 interpolation of generally unrestricted cubic B\u00e9zier curves","volume":"4","author":"Sarraga","year":"1987","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB18","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0167-8396(86)90025-7","article-title":"Improperly parametrized rational curve","volume":"3","author":"Sederberg","year":"1986","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/0167-8396(90)90027-O_BIB19","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1109\/MCG.1983.263244","article-title":"Rational B-spline for curve and surface representation","volume":"3","author":"Tiller","year":"1983","journal-title":"IEEE Computer Graphics Appl."},{"key":"10.1016\/0167-8396(90)90027-O_BIB20","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0010-4485(76)90163-9","article-title":"Continuity of biparametric surface patches","volume":"8","author":"Veron","year":"1976","journal-title":"Computer-aided Design"}],"container-title":["Computer Aided Geometric Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016783969090027O?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016783969090027O?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T02:58:14Z","timestamp":1555124294000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/016783969090027O"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,6]]},"references-count":20,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[1990,6]]}},"alternative-id":["016783969090027O"],"URL":"https:\/\/doi.org\/10.1016\/0167-8396(90)90027-o","relation":{},"ISSN":["0167-8396"],"issn-type":[{"type":"print","value":"0167-8396"}],"subject":[],"published":{"date-parts":[[1990,6]]}}}