{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,10]],"date-time":"2023-01-10T14:28:08Z","timestamp":1673360888975},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1996,12,1]],"date-time":"1996-12-01T00:00:00Z","timestamp":849398400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1996,12]]},"DOI":"10.1007\/bf02124753","type":"journal-article","created":{"date-parts":[[2005,9,14]],"date-time":"2005-09-14T23:12:16Z","timestamp":1126739536000},"page":"399-415","source":"Crossref","is-referenced-by-count":3,"title":["On zero curves of bivariate polynomials"],"prefix":"10.1007","volume":"5","author":[{"given":"Michael S.","family":"Floater","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02124753_CR1","volume-title":"Complex analysis","author":"L.V. Ahlfors","year":"1953","unstructured":"L.V. Ahlfors,Complex analysis (McGraw-Hill, New York, 1953)."},{"key":"BF02124753_CR2","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/978-1-4612-2628-4","volume-title":"Algebraic geometry and its applications","author":"C. Bajaj","year":"1994","unstructured":"C. Bajaj, Some applications of constructive real algebraic geometry, inAlgebraic geometry and its applications, ed. C. Bajaj (Springer-Verlag, New York, 1994) 303\u2013405."},{"key":"BF02124753_CR3","unstructured":"C. Bajaj, J. Chen and G. Xu, Modeling with cubic A-patches, Comp. Sci. Report, CAPO-93-02, Purdue University (1993)."},{"key":"BF02124753_CR4","unstructured":"C. Bajaj, J. Chen and G. Xu, Free form surface design with A-patches,Proc. of Graphics Interface 94, Canadian Information Processing Society, Vancouver, Canada (1994)."},{"key":"BF02124753_CR5","unstructured":"C. Bajaj and G. Xu, A-splines: local interpolation and approximation usingC k -continuous piecewise real algebraic curves, Comp. Sci. Report CAPO-92-44, Purdue University (1992)."},{"key":"BF02124753_CR6","unstructured":"C. Bajaj and G. Xu, Data fitting with cubic A-splines,Proc. Computer Graphics International, CGI94, Melbourne, Australia (1994)."},{"key":"BF02124753_CR7","volume-title":"Computing methods, vol II","author":"I.S. Berezin","year":"1965","unstructured":"I.S. Berezin and N.P. Zhidkov,Computing methods, vol II (Pergamon Press, Oxford, 1965)."},{"key":"BF02124753_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6333-3","volume-title":"A Practical Guide to Splines","author":"C. Boor de","year":"1978","unstructured":"C. de Boor,A Practical Guide to Splines (Springer-Verlag, New York, 1978)."},{"key":"BF02124753_CR9","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/0021-9045(84)90132-1","volume":"40","author":"G. Chang","year":"1984","unstructured":"G. Chang and P.J. Davis, The convexity of Bernstein polynomials over triangles, J. Approx. Theory40 (1984) 11\u201328.","journal-title":"J. Approx. Theory"},{"key":"BF02124753_CR10","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/B978-0-12-438660-0.50021-2","volume-title":"Curves and Surfaces","author":"W. Dahmen","year":"1991","unstructured":"W. Dahmen, Convexity and Bernstein-B\u00e9zier polynomials,Curves and Surfaces, eds. P.J. Laurent, A. Le M\u00e9haut\u00e9 and L.L. Schumaker (Academic Press, Boston, 1991) 107\u2013134."},{"key":"BF02124753_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/B978-0-12-460515-2.50017-2","volume-title":"Mathematical Methods in Computer-Aided Geom. Design","author":"W. Dahmen","year":"1989","unstructured":"W. Dahmen, Smooth piecewise quadric surfaces, inMathematical Methods in Computer-Aided Geom. Design, eds. T. Lyche and L.L. Schumaker (Academic Press, Boston, 1989) 181\u2013193."},{"key":"BF02124753_CR12","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/0167-8396(93)90013-S","volume":"10","author":"W. Dahmen","year":"1993","unstructured":"W. Dahmen and T. Thamm-Schaar, Cubicoids: modelling and visualization, Computer-Aided Geom. Design10 (1993) 89\u2013108.","journal-title":"Computer-Aided Geom. Design"},{"key":"BF02124753_CR13","volume-title":"Curves and surfaces for computer aided geometric design","author":"G. Farin","year":"1988","unstructured":"G. Farin,Curves and surfaces for computer aided geometric design (Academic Press, San Diego, 1988)."},{"key":"BF02124753_CR14","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/BF02519036","volume":"2","author":"M.S. Floater","year":"1994","unstructured":"M.S. Floater, A weak condition for the convexity of tensor-product B\u00e9zier and B-spline surfaces, Advances in Comp. Math.2 (1994) 67\u201380.","journal-title":"Advances in Comp. Math."},{"key":"BF02124753_CR15","first-page":"151","volume-title":"Mathematical Methods for Curves and Surfaces","author":"M.S. Floater","year":"1996","unstructured":"M.S. Floater, Rational cubic implicitization, inMathematical Methods for Curves and Surfaces, eds. M. D\u00e6hlen, T. Lyche and L. Schumaker (Vanderbilt University Press, Nashville, 1996) 151\u2013159."},{"key":"BF02124753_CR16","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/0021-9045(85)90076-0","volume":"44","author":"T.N.T. Goodman","year":"1985","unstructured":"T.N.T. Goodman, Properties of\u03b2-splines, J. of Approx. Theory44 (1985) 132\u2013153.","journal-title":"J. of Approx. Theory"},{"key":"BF02124753_CR17","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/B978-0-12-460515-2.50027-5","volume-title":"Mathematical Methods in Computer-Aided Geom. Design","author":"T.N.T. Goodman","year":"1989","unstructured":"T.N.T. Goodman, Shape preserving representations, inMathematical Methods in Computer-Aided Geom. Design, eds. T. Lyche and L.L. Schumaker (Academic Press, Boston, 1989) 333\u2013351."},{"key":"BF02124753_CR18","volume-title":"Total positivity","author":"S. Karlin","year":"1968","unstructured":"S. Karlin,Total positivity (Stanford University Press, Stanford, 1968)."},{"key":"BF02124753_CR19","volume-title":"Plane algebraic curves","author":"E.J.F. Primrose","year":"1955","unstructured":"E.J.F. Primrose,Plane algebraic curves (Macmillan, London, 1955)."},{"key":"BF02124753_CR20","volume-title":"Principles of mathematical analysis","author":"W. Rudin","year":"1976","unstructured":"W. Rudin,Principles of mathematical analysis (McGraw-Hill, New York, 1976)."},{"key":"BF02124753_CR21","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0167-8396(84)90011-6","volume":"1","author":"T.W. Sederberg","year":"1984","unstructured":"T.W. Sederberg, Planar piecewise algebraic curves, Computer-Aided Geom. Design1 (1984) 241\u2013255.","journal-title":"Computer-Aided Geom. Design"},{"key":"BF02124753_CR22","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/0167-8396(85)90007-X","volume":"2","author":"T.W. Sederberg","year":"1985","unstructured":"T.W. Sederberg, Piecewise algebraic patches, Computer-Aided Geom. Design2 (1985) 53\u201359.","journal-title":"Computer-Aided Geom. Design"},{"key":"BF02124753_CR23","volume-title":"Introduction to topology and modern analysis","author":"G.F. Simmons","year":"1963","unstructured":"G.F. Simmons,Introduction to topology and modern analysis (McGraw-Hill, Tokyo, 1963)."},{"key":"BF02124753_CR24","volume-title":"Theory of equations","author":"J.V. Uspensky","year":"1948","unstructured":"J.V. Uspensky,Theory of equations (McGraw-Hill, New York, 1948)."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02124753.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02124753\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02124753","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T21:31:09Z","timestamp":1557783069000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02124753"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,12]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,12]]}},"alternative-id":["BF02124753"],"URL":"https:\/\/doi.org\/10.1007\/bf02124753","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,12]]}}}