Number of documents

40

Publications


Journal articles11 documents

  • Rémi Imbach, Guillaume Moroz, Marc Pouget. Reliable Location with Respect to the Projection of a Smooth Space Curve. Reliable Computing, Springer Verlag, 2018, 26, pp.13-55. ⟨hal-01920444⟩
  • 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⟩. ⟨10.20382/jocg.v7i1a5⟩. ⟨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. 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⟩
  • 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⟩

Conference papers10 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. ⟨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. ⟨hal-00992634⟩
  • 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. 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. 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⟩
  • 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. ⟨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. ⟨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. ⟨lirmm-00324589⟩
  • Frédéric Cazals, Marc Pouget. Estimating Differential Quantities Using Polynomial Fitting of Osculating Jets. Eurographics Symposium on Geometry Processing, Jun 2003, Aachen, Germany. pp.177-187. ⟨hal-00103047⟩

Book sections3 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⟩

Preprints, Working Papers, ...1 document

  • Rémi Imbach, Marc Pouget, Chee Yap. Clustering Complex Zeros of Triangular System of Polynomials. 2019. ⟨hal-01825708v2⟩

Reports14 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⟩
  • 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⟩
  • Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate Triangular Decompositions in the Presence of Asymptotes. [Research Report] INRIA. 2015. ⟨hal-01200802⟩
  • 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⟩
  • 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⟩
  • Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms for bivariate systems. [Research Report] RR-8261, INRIA. 2013, pp.20. ⟨hal-00802693v2⟩
  • 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. 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. 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. Estimating Differential Quantities using Polynomial fitting of Osculating Jets. RR-4823, INRIA. 2003. ⟨inria-00071763⟩

Theses1 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⟩