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Number of documents

45

Publications


Journal articles13 documents

  • George Krait, Sylvain Lazard, Guillaume Moroz, Marc Pouget. Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves. Journal of Computational and Applied Mathematics, Elsevier, In press. ⟨hal-03161393⟩
  • Rémi Imbach, Marc Pouget, Chee Yap. Clustering Complex Zeros of Triangular Systems of Polynomials. Mathematics in Computer Science, Springer, 2020, ⟨10.1007/s11786-020-00482-0⟩. ⟨hal-02878388⟩
  • 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. ⟨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 papers13 documents

  • Rémi Imbach, Marc Pouget, Chee Yap. Clustering Complex Zeros of Triangular System of Polynomials. CASC 2019 - 21st International Workshop on Computer Algebra in Scientific Computing, Aug 2019, Moscow, Russia. ⟨hal-01825708v3⟩
  • George Krait, Sylvain Lazard, Guillaume Moroz, Marc Pouget. Numerical Algorithm for the Topology of Singular Plane Curves. EuroCG 2019 - 35th European Workshop on Computational Geometry, Mar 2019, Utrecht, Netherlands. ⟨hal-02294028⟩
  • Sény Diatta, Guillaume Moroz, Marc Pouget. Reliable Computation of the Singularities of the Projection in R3 of a Generic Surface of R4. MACIS 2019 - Mathematical Aspects of Computer and Information Sciences, Nov 2019, Gebze-Istanbul, Turkey. ⟨hal-02406758⟩
  • 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

  • George Krait, Sylvain Lazard, Guillaume Moroz, Marc Pouget. Isolating the singularities of the plane projection of a generic space curve. 2020. ⟨hal-02612412⟩

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⟩
  • 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. 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⟩
  • Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. Silhouette of a random polytope. [Research Report] RR-8327, INRIA. 2013, pp.13. ⟨hal-00841374v2⟩
  • 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. The implicit structure of ridges of a smooth parametric surface. [Research Report] RR-5608, INRIA. 2005, pp.30. ⟨inria-00071237⟩
  • 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, 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⟩

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⟩