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Computing the topology of an arrangement of parametric or implicit algebraic curves in the Lagrange basis

Published:14 August 2015Publication History

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References

  1. R. M. Corless, G. M. Diaz-Toca, M. Fioravanti, L. Gonzalez-Vega, I. F. Rua, and A. Shakoori. Computing the topology of a real algebraic plane curve whose defining equations are available only "by values". Comput. Aided Geom. Des., 30(7):675--706, 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. E. Fogel, D. Halperin, L. Kettner, M. Teillaud, R. Wein, and N. Wolpert. Arrangements. In J.-D. Boissonnat and M. Teillaud, editors, Effective Computational Geometry for Curves and Surfaces, pages 1--66. Springer-Verlag, 2006.Google ScholarGoogle Scholar
  3. D. Halperin. Arrangements. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, 2nd edn., chapter 24. Chapman & Hall/CRC, 2004.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. G. Heinig and K. Rost. Algebraic methods for Toeplitz-like matrices and operators. Operator Theory: Advances and Applications, 13, 1984.Google ScholarGoogle Scholar
  5. A. Shakoori. Bivariate Polynomial Solver by Values. PhD thesis, The University of Western Ontario, 2007.Google ScholarGoogle Scholar

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            • Published in

              cover image ACM Communications in Computer Algebra
              ACM Communications in Computer Algebra  Volume 49, Issue 2
              June 2015
              66 pages
              ISSN:1932-2240
              DOI:10.1145/2815111
              Issue’s Table of Contents

              Copyright © 2015 Authors

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              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 14 August 2015

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