{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T08:30:34Z","timestamp":1771662634905,"version":"3.50.1"},"reference-count":38,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1998,3,1]],"date-time":"1998-03-01T00:00:00Z","timestamp":888710400000},"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":[[1998,3]]},"DOI":"10.1016\/s0167-8396(97)00032-0","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T15:13:42Z","timestamp":1027610022000},"page":"289-310","source":"Crossref","is-referenced-by-count":24,"title":["Geometric continuity of ruled surfaces"],"prefix":"10.1016","volume":"15","author":[{"given":"J.A","family":"Schaaf","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B","family":"Ravani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0167-8396(97)00032-0_BIB1","series-title":"Geometric Modeling: Algorithms and New Trends","first-page":"175","article-title":"Smooth curves and surfaces","author":"Boehm","year":"1987"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB2","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/0010-4485(88)90213-8","article-title":"On the definition of geometric continuity","volume":"20","author":"Boehm","year":"1988","journal-title":"Computer-Aided Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB3","series-title":"Geometric Concepts for Geometric Design","author":"Boehm","year":"1994"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB4","series-title":"Theoretical Kinematics","author":"Bottema","year":"1979"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB5","series-title":"Vector and Tensor Analysis","author":"Brand","year":"1947"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB6","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/0021-9045(72)90080-9","article-title":"On calculating with B-splines","volume":"6","author":"deBoor","year":"1972","journal-title":"Journal of Approximation Theory"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB7","series-title":"The Screw Calculus and its Application in Mechanics","author":"Dimentberg","year":"1965"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB8","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/BF01396765","article-title":"Piecewise polynomial spaces and geometric continuity of curves","volume":"54","author":"Dyn","year":"1988","journal-title":"Numerische Mathematik"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB9","series-title":"Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide","author":"Farin","year":"1992"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB10","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1115\/1.3670790","article-title":"Higher path-curvature analysis in plane kinematics","volume":"87","author":"Freudenstein","year":"1965","journal-title":"ASME Journal of Engineering for Industry"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB11","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0167-8396(93)90014-T","article-title":"A geometric approach to curvature continuous joints of rational curves","volume":"10","author":"Geise","year":"1993","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB12","series-title":"Mathematical Methods in Computer Aided Geometric Design","first-page":"353","article-title":"Geometric continuity","author":"Gregory","year":"1989"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB13","series-title":"Differential Geometry","author":"Guggenheimer","year":"1963"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB14","series-title":"Liniengeometrie","author":"Hoschek","year":"1971"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB15","article-title":"Fundamentals of Computer Aided Geometric Design","author":"Hoschek","year":"1993"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB16","article-title":"Curvature theory in space kinematics","author":"Kirson","year":"1975"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB17","series-title":"Analytische und konstruktive Differentialgeometrie","author":"Kruppa","year":"1957"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB18","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1007\/BF01897120","article-title":"Theory of contact for geometric continuity of parametric curves","volume":"8","author":"Lee","year":"1992","journal-title":"The Visual Computer"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB19","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1115\/1.3258772","article-title":"On the scalor and dual formulations of the curvature theory of line trajectories","volume":"109","author":"McCarthy","year":"1987","journal-title":"ASME Journal of Mechanisms, Transmissions and Automation in Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB20","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1115\/1.3254978","article-title":"The curvature theory of line trajectories in spatial kinematics","volume":"103","author":"McCarthy","year":"1981","journal-title":"ASME Journal of Mechanical Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB21","series-title":"Applications de l' Analyse \u00e0 la G\u00e9om\u00e9trie","author":"Monge","year":"1850"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB22","series-title":"Geometric Modeling","author":"Mortenson","year":"1985"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB23","first-page":"193","article-title":"Uber die Kr\u00fcmmung der Bahn-evoluten bei starrenn ebenen Systemen","volume":"36","author":"M\u00fcller","year":"1891","journal-title":"Z. Math. Phys."},{"key":"10.1016\/S0167-8396(97)00032-0_BIB24","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1115\/1.2916918","article-title":"Geometrical criteria to guarantee curvature continuity of blend surfaces","volume":"114","author":"Pegna","year":"1992","journal-title":"ASME Journal of Mechanical Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB25","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1098\/rstl.1865.0017","article-title":"On a new geometry of space","volume":"155","author":"Pl\u00fccker","year":"1865","journal-title":"Philosophical Transactions of the Royal Society of London"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB26","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/0167-8396(89)90031-9","article-title":"Projectively invariant classes of geometric continuity for CAGD","volume":"6","author":"Pottmann","year":"1989","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB27","series-title":"NURBS for Curve and Surface Design","first-page":"141","article-title":"A projective algorithm for curvature continuous rational splines","author":"Pottmann","year":"1991"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB28","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1115\/1.2912791","article-title":"Computer aided geometric design of line constructs","volume":"113","author":"Ravani","year":"1991","journal-title":"ASME Journal of Mechanical Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB29","article-title":"Curvature theory of line trajectories in spatial kinematics","author":"Schaaf","year":"1988"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB30","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1115\/1.2916903","article-title":"Kinematic geometry of spherical evolutes","volume":"114","author":"Schaaf","year":"1992","journal-title":"ASME Journal of Mechanical Design"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB31","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0094-114X(85)90045-X","article-title":"Die zweiten Kr\u00fcmmungs-graden bei ebenen Zwangl\u00e4ufen","volume":"20","author":"Stachel","year":"1985","journal-title":"Mechanism and Machine Theory"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB32","series-title":"Lectures on Classical Differential Geometry","author":"Struik","year":"1950"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB33","series-title":"Geometrie der Dynamen","author":"Study","year":"1903"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB34","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0094-114X(76)90006-9","article-title":"On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics","volume":"11","author":"Veldkamp","year":"1976","journal-title":"Mechanisms and Machine Theory"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB35","article-title":"Application of quaternion algebra and dual numbers to the analysis of spatical mechanisms","author":"Yang","year":"1963"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB36","series-title":"Basic Questions of Design Theory","first-page":"266","article-title":"Calculus of screws","author":"Yang","year":"1974"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB37","series-title":"Proceedings of the Fourth World Congress on the Theory of Machines and Mechanisms","first-page":"737","article-title":"On a kinematic curvature theory for ruled surfaces","author":"Yang","year":"1975"},{"key":"10.1016\/S0167-8396(97)00032-0_BIB38","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1115\/1.3438198","article-title":"Higher-order path curvature in spherical kinematics","volume":"95","author":"Yang","year":"1973","journal-title":"ASME Journal of Engineering for Industry"}],"container-title":["Computer Aided Geometric Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839697000320?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839697000320?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T12:25:32Z","timestamp":1556367932000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167839697000320"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":38,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["S0167839697000320"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8396(97)00032-0","relation":{},"ISSN":["0167-8396"],"issn-type":[{"value":"0167-8396","type":"print"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}