{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T13:16:01Z","timestamp":1772370961173,"version":"3.50.1"},"reference-count":12,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2001,2,1]],"date-time":"2001-02-01T00:00:00Z","timestamp":980985600000},"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":[[2001,2]]},"DOI":"10.1016\/s0167-8396(01)00012-7","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T14:26:50Z","timestamp":1027607210000},"page":"61-72","source":"Crossref","is-referenced-by-count":57,"title":["The mu-basis of a rational ruled surface"],"prefix":"10.1016","volume":"18","author":[{"given":"Falai","family":"Chen","sequence":"first","affiliation":[]},{"given":"Jianmin","family":"Zheng","sequence":"additional","affiliation":[]},{"given":"Thomas W.","family":"Sederberg","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0167-8396(01)00012-7_BIB001","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0167-8396(91)90014-3","article-title":"Interpolation with developable B\u00e9zier patches","volume":"8","author":"Aumann","year":"1991","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB002","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0167-8396(92)90009-E","article-title":"Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants","volume":"9","author":"Chionh","year":"1992","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB003","series-title":"Ideals, Varieties and Algorithms","author":"Cox","year":"1992"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB004","series-title":"Using Algebraic Geometry","author":"Cox","year":"1998"},{"issue":"8","key":"10.1016\/S0167-8396(01)00012-7_BIB005","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1016\/S0167-8396(98)00014-4","article-title":"The moving line ideal basis of planar rational curves","volume":"15","author":"Cox","year":"1998","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB006","series-title":"The Theory of Ruled Surfaces","author":"Edge","year":"1931"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB007","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0167-8396(92)90036-O","article-title":"Developable (1,n)-B\u00e9zier surfaces","volume":"9","author":"Lang","year":"1992","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB008","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1115\/1.3260805","article-title":"Computer-aided design and machining of composite ruled surfaces","volume":"108","author":"Ravani","year":"1986","journal-title":"J. Mech. Trans. Automat. Design"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB009","series-title":"SiGGRAPH'95","first-page":"301","article-title":"Implicitization using moving curves and surfaces","author":"Sederberg","year":"1995"},{"issue":"4","key":"10.1016\/S0167-8396(01)00012-7_BIB010","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1006\/gmip.1995.1029","article-title":"Rational ruled surfaces: implicitization and section curves","volume":"57","author":"Sederberg","year":"1995","journal-title":"CVGIP: Graphical Models and Image Processing"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB011","series-title":"Modern Algebra","author":"van der Waerden","year":"1950"},{"key":"10.1016\/S0167-8396(01)00012-7_BIB012","unstructured":"Zheng, J., Sederberg, T.W., 2000. A direct approach to the mu-basis of planar rational curves. To appear"}],"container-title":["Computer Aided Geometric Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839601000127?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839601000127?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T08:53:54Z","timestamp":1556441634000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167839601000127"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,2]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,2]]}},"alternative-id":["S0167839601000127"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8396(01)00012-7","relation":{},"ISSN":["0167-8396"],"issn-type":[{"value":"0167-8396","type":"print"}],"subject":[],"published":{"date-parts":[[2001,2]]}}}