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Number of documents

18

Publications


Fabrice Rouillier   

Journal articles5 documents

  • Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate triangular decompositions in the presence of asymptotes. Journal of Symbolic Computation, Elsevier, 2017, 82, pp.123 - 133. ⟨10.1016/j.jsc.2017.01.004⟩. ⟨hal-01468796⟩
  • Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, et al.. Solving bivariate systems using Rational Univariate Representations. Journal of Complexity, Elsevier, 2016, 37, pp.34--75. ⟨10.1016/j.jco.2016.07.002⟩. ⟨hal-01342211v2⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms and Rational Univariate Representations of bivariate systems. Journal of Symbolic Computation, Elsevier, 2015, 68, pp.84-119. ⟨10.1016/j.jsc.2014.08.009⟩. ⟨hal-00977671⟩
  • Jinsan Cheng, Sylvain Lazard, Luis Peñaranda, Marc Pouget, Fabrice Rouillier, et al.. On the topology of real algebraic plane curves. Mathematics in Computer Science, Springer, 2010, 4 (1), pp.113-137. ⟨10.1007/s11786-010-0044-3⟩. ⟨inria-00517175⟩
  • Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. The implicit structure of ridges of a smooth parametric surface. Computer Aided Geometric Design, Elsevier, 2006, 23 (7), pp.582-598. ⟨10.1016/j.cagd.2006.04.002⟩. ⟨inria-00097581⟩

Conference papers6 documents

  • Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier. Improved algorithm for computing separating linear forms for bivariate systems. ISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan. ⟨hal-00992634⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating Linear Forms for Bivariate Systems. ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124. ⟨hal-00809425⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications. ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116. ⟨hal-00809430⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. New bivariate system solver and topology of algebraic curves. 27th European Workshop on Computational Geometry - EuroCG 2011, Mar 2011, Morschach, Switzerland. ⟨inria-00580431⟩
  • Jinsan Cheng, Sylvain Lazard, Luis Peñaranda, Marc Pouget, Fabrice Rouillier, et al.. On the topology of planar algebraic curves. 25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩. ⟨inria-00425383⟩
  • Jinsan Cheng, Sylvain Lazard, Luis Peñaranda, Marc Pouget, Fabrice Rouillier, et al.. On The Topology of Planar Algebraic Curves. 24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216. ⟨inria-00329754⟩

Book sections1 document

  • Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. Ridges and Umbilics of Polynomial Parametric Surfaces. B. Juttler and R. Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.141--159, 2008, 978-3-540-72184-0. ⟨10.1007/978-3-540-72185-7_8⟩. ⟨inria-00329762⟩

Reports6 documents

  • Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, et al.. Improved algorithms for solving bivariate systems via Rational Univariate Representations. [Research Report] Inria. 2015. ⟨hal-01114767v2⟩
  • Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate Triangular Decompositions in the Presence of Asymptotes. [Research Report] INRIA. 2015. ⟨hal-01200802⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms for bivariate systems. [Research Report] RR-8261, INRIA. 2013, pp.20. ⟨hal-00802693v2⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications. [Research Report] RR-8262, INRIA. 2013, pp.26. ⟨hal-00802698v2⟩
  • Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. Topologically certified approximation of umbilics and ridges on polynomial parametric surface. [Research Report] RR-5674, INRIA. 2005, pp.36. ⟨inria-00071225⟩
  • Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. The implicit structure of ridges of a smooth parametric surface. [Research Report] RR-5608, INRIA. 2005, pp.30. ⟨inria-00071237⟩