Nombre de documents

38

Publications


Article dans une revue10 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〉
  • Rémi Imbach, Guillaume Moroz, Marc Pouget. A certified numerical algorithm for the topology of resultant and discriminant curves. Journal of Symbolic Computation, Elsevier, 2016, 80, Part 2, pp.285--306. 〈10.1016/j.jsc.2016.03.011〉. 〈hal-01402194〉
  • Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. Silhouette of a random polytope. Journal of Computational Geometry, Carleton University, Computational Geometry Laboratory, 2016, 7 (1), pp.14. 〈http://jocg.org/index.php/jocg/article/view/162〉. 〈hal-01289699〉
  • 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, Marc Pouget. Jet fitting 3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting. ACM Transactions on Mathematical Software, Association for Computing Machinery, 2008, 35 (3). 〈inria-00329731〉
  • 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〉
  • Frédéric Cazals, Marc Pouget. Estimating Differential Quantities using Polynomial fitting of Osculating Jets. Computer Aided Geometric Design, Elsevier, 2005, 22 (2), pp.121-146. 〈inria-00097582〉
  • Frédéric Cazals, Marc Pouget. Differential topology and geometry of smooth embedded surfaces: selected topics. International Journal of Computational Geometry and Applications, World Scientific Publishing, 2005, Vol. 15, No. 5, pp.511-536. 〈10.1142/S0218195905001816〉. 〈hal-00103023〉

Communication dans un congrès10 documents

  • Rémi Imbach, Guillaume Moroz, Marc Pouget. Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve. Proceedings of the 6th International Conferences on Mathematical Aspects of Computer and Information Sciences, Oct 2015, Berlin, Germany. Springer LNCS. 〈hal-01239447〉
  • 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. 2014. 〈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, 2013. 〈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, 2013. 〈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. 2011. 〈inria-00580431〉
  • Jinsan Cheng, Sylvain Lazard, Luis Peñaranda, Marc Pouget, Fabrice Rouillier, et al.. On the topology of planar algebraic curves. John Hershberger and Efi Fogel. 25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. ACM, pp.361--370, 2009, 〈http://portal.acm.org/citation.cfm?doid=1542362.1542424〉. 〈10.1145/1542362.1542424〉. 〈inria-00425383〉
  • Hazel Everett, Christian Gillot, Daniel Lazard, Sylvain Lazard, Marc Pouget. The Voronoi diagram of three arbitrary lines in R3. 25th European Workshop on Computational Geometry - EuroCG'09, Mar 2009, Bruxelles, Belgium. pp.297-300, 2009. 〈inria-00425378〉
  • 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, 2008. 〈inria-00329754〉
  • David Bremner, Jonathan Lenchner, Giuseppe Liotta, Christophe Paul, Marc Pouget, et al.. A Note on α-Drawable k-Trees. CCCG'08: Canadian Conference on Computational Geometry, Canada. pp.23-27, 2008. 〈lirmm-00324589〉
  • Frédéric Cazals, Marc Pouget. Estimating Differential Quantities Using Polynomial Fitting of Osculating Jets. L. Kobbelt, P. Schröder, H. Hoppe. Eurographics Symposium on Geometry Processing, Jun 2003, Aachen, Germany. Eurographics, pp.177-187, 2003. 〈hal-00103047〉

Chapitre d'ouvrage3 documents

  • 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〉
  • Frédéric Cazals, Marc Pouget. Estimation of Local Differential Properties. CGAL Editorial Board. CGAL User and Reference Manual 3.3 edition, CGAL Editorial Board, 2007. 〈inria-00580419〉
  • Frédéric Cazals, Marc Pouget. Approximation of Ridges and Umbilics on Triangulated Surface Meshes. CGAL Editorial Board. CGAL User and Reference Manual 3.3 edition, CGAL Editorial Board, 2007. 〈inria-00580418〉

Rapport14 documents

  • Rémi Imbach, Guillaume Moroz, Marc Pouget. Reliable location with respect to the projection of a smooth space curve. [Research Report] INRIA. 2017. 〈hal-01632344〉
  • 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〉
  • Rémi Imbach, Guillaume Moroz, Marc Pouget. Numeric certified algorithm for the topology of resultant and discriminant curves. [Research Report] RR-8653, Inria. 2015. 〈hal-01093040v3〉
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms for bivariate systems. [Research Report] RR-8261, INRIA. 2013, pp.20. 〈hal-00802693v2〉
  • Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. Silhouette of a random polytope. [Research Report] RR-8327, INRIA. 2013, pp.13. 〈hal-00841374v2〉
  • 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, Marc Pouget. Jet_fitting_3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting. [Research Report] RR-6093, INRIA. 2007, pp.18. 〈inria-00123501v2〉
  • Frédéric Cazals, Marc Pouget. Topology driven algorithms for ridge extraction on meshes. [Research Report] RR-5526, INRIA. 2005, pp.29. 〈inria-00070481〉
  • 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〉
  • Frédéric Cazals, Marc Pouget. Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: a concise overview. RR-5138, INRIA. 2004. 〈inria-00071445〉
  • Frédéric Cazals, Marc Pouget. Ridges and umbilics of a sampled smooth surface: a complete picture gearing toward topological coherence. RR-5294, INRIA. 2004, pp.36. 〈inria-00070706〉
  • Frédéric Cazals, Marc Pouget. Estimating Differential Quantities using Polynomial fitting of Osculating Jets. RR-4823, INRIA. 2003. 〈inria-00071763〉

Thèse1 document

  • Marc Pouget. Geometry of surfaces :
    from the estimation of local differential quantities
    to the robust extraction of global differential
    features. Mathematics [math]. Université Nice Sophia Antipolis, 2005. English. 〈tel-00102998〉