Marc Pouget

Publications

Article dans une revue (14)

An improved complexity bound for computing the topology of a real algebraic space curve Jin-San Cheng,Kai Jin,Marc Pouget,Junyi Wen,Bingwei Zhang Journal of Symbolic Computation, 2024, 125, ⟨10.1016/j.jsc.2024.102309⟩ Article dans une revue hal-04874978v1
Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves George Krait,Sylvain Lazard,Guillaume Moroz,Marc Pouget Journal of Computational and Applied Mathematics, 2021, 394, pp.113553. ⟨10.1016/j.cam.2021.113553⟩ Article dans une revue hal-03161393v1
Clustering Complex Zeros of Triangular Systems of Polynomials Rémi Imbach,Marc Pouget,Chee Yap Mathematics in Computer Science, 2020, ⟨10.1007/s11786-020-00482-0⟩ Article dans une revue hal-02878388v1
Reliable Location with Respect to the Projection of a Smooth Space Curve Rémi Imbach,Guillaume Moroz,Marc Pouget Reliable Computing, 2018, 26, pp.13-55 Article dans une revue hal-01920444v1
Bivariate triangular decompositions in the presence of asymptotes Sylvain Lazard,Marc Pouget,Fabrice Rouillier Journal of Symbolic Computation, 2017, 82, pp.123 - 133. ⟨10.1016/j.jsc.2017.01.004⟩ Article dans une revue hal-01468796v1
A certified numerical algorithm for the topology of resultant and discriminant curves Rémi Imbach,Guillaume Moroz,Marc Pouget Journal of Symbolic Computation, 2016, 80, Part 2, pp.285--306. ⟨10.1016/j.jsc.2016.03.011⟩ Article dans une revue hal-01402194v1
Silhouette of a random polytope Marc Glisse,Sylvain Lazard,Julien Michel,Marc Pouget Journal of Computational Geometry, 2016, 7 (1), pp.14. ⟨10.20382/jocg.v7i1a5⟩ Article dans une revue hal-01289699v1
Solving bivariate systems using Rational Univariate Representations Yacine Bouzidi,Sylvain Lazard,Guillaume Moroz,Marc Pouget,Fabrice Rouillieret al. Journal of Complexity, 2016, 37, pp.34--75. ⟨10.1016/j.jco.2016.07.002⟩ Article dans une revue hal-01342211v2
Separating linear forms and Rational Univariate Representations of bivariate systems Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier Journal of Symbolic Computation, 2015, 68, pp.84-119. ⟨10.1016/j.jsc.2014.08.009⟩ Article dans une revue hal-00977671v1
On the topology of real algebraic plane curves Jinsan Cheng,Sylvain Lazard,Luis Mariano Peñaranda,Marc Pouget,Fabrice Rouillieret al. Mathematics in Computer Science, 2010, 4 (1), pp.113-137. ⟨10.1007/s11786-010-0044-3⟩ Article dans une revue inria-00517175v1
Jet fitting 3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting Frédéric Cazals,Marc Pouget ACM Transactions on Mathematical Software, 2008, 35 (3), ⟨10.1145/1391989.1404582⟩ Article dans une revue inria-00329731v1
The implicit structure of ridges of a smooth parametric surface Frédéric Cazals,Jean-Charles Faugère,Marc Pouget,Fabrice Rouillier Computer Aided Geometric Design, 2006, 23 (7), pp.582-598. ⟨10.1016/j.cagd.2006.04.002⟩ Article dans une revue inria-00097581v1
Estimating Differential Quantities using Polynomial fitting of Osculating Jets Frédéric Cazals,Marc Pouget Computer Aided Geometric Design, 2005, 22 (2), pp.121-146 Article dans une revue inria-00097582v1
Differential topology and geometry of smooth embedded surfaces: selected topics Frédéric Cazals,Marc Pouget International Journal of Computational Geometry and Applications, 2005, Vol. 15, No. 5, pp.511-536. ⟨10.1142/S0218195905001816⟩ Article dans une revue hal-00103023v1

Communication dans un congrès (15)

ε-Net Algorithm Implementation on Hyperbolic Surfaces Vincent Despré,Camille Lanuel,Marc Pouget,Monique Teillaud 33rd Annual European Symposium on Algorithms (ESA 2025), Sep 2025, Warsaw, Poland. ⟨10.4230/LIPIcs.ESA.2025.59⟩ Communication dans un congrès hal-05442559v1
Fast High-Resolution Drawing of Algebraic Curves Nuwan Herath Mudiyanselage,Guillaume Moroz,Marc Pouget ISSAC 2022 - International Symposium on Symbolic and Algebraic Computation, Jul 2022, Villeneuve-d'Ascq France, France. pp.449-458, ⟨10.1145/3476446.3535483⟩ Communication dans un congrès hal-03788409v1
Clustering Complex Zeros of Triangular System of Polynomials Rémi Imbach,Marc Pouget,Chee Yap CASC 2019 - 21st International Workshop on Computer Algebra in Scientific Computing, Aug 2019, Moscow, Russia Communication dans un congrès hal-01825708v3
Numerical Algorithm for the Topology of Singular Plane Curves George Krait,Sylvain Lazard,Guillaume Moroz,Marc Pouget EuroCG 2019 - 35th European Workshop on Computational Geometry, Mar 2019, Utrecht, Netherlands Communication dans un congrès hal-02294028v1
Reliable Computation of the Singularities of the Projection in R3 of a Generic Surface of R4 Sény Diatta,Guillaume Moroz,Marc Pouget MACIS 2019 - Mathematical Aspects of Computer and Information Sciences, Nov 2019, Gebze-Istanbul, Turkey Communication dans un congrès hal-02406758v1
Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve Rémi Imbach,Guillaume Moroz,Marc Pouget Proceedings of the 6th International Conferences on Mathematical Aspects of Computer and Information Sciences, Oct 2015, Berlin, Germany Communication dans un congrès hal-01239447v1
Improved algorithm for computing separating linear forms for bivariate systems Yacine Bouzidi,Sylvain Lazard,Guillaume Moroz,Marc Pouget,Fabrice Rouillier ISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan Communication dans un congrès hal-00992634v1
Rational Univariate Representations of Bivariate Systems and Applications Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116 Communication dans un congrès hal-00809430v1
Separating Linear Forms for Bivariate Systems Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124 Communication dans un congrès hal-00809425v1
New bivariate system solver and topology of algebraic curves Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier 27th European Workshop on Computational Geometry - EuroCG 2011, Mar 2011, Morschach, Switzerland Communication dans un congrès inria-00580431v1
On the topology of planar algebraic curves Jinsan Cheng,Sylvain Lazard,Luis Mariano Peñaranda,Marc Pouget,Fabrice Rouillieret al. 25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩ Communication dans un congrès inria-00425383v1
The Voronoi diagram of three arbitrary lines in R3 Hazel Everett,Christian Gillot,Daniel Lazard,Sylvain Lazard,Marc Pouget 25th European Workshop on Computational Geometry - EuroCG'09, Mar 2009, Bruxelles, Belgium. pp.297-300 Communication dans un congrès inria-00425378v1
On The Topology of Planar Algebraic Curves Jinsan Cheng,Sylvain Lazard,Luis Mariano Peñaranda,Marc Pouget,Fabrice Rouillieret al. 24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216 Communication dans un congrès inria-00329754v1
A Note on α-Drawable k-Trees David Bremner,Jonathan Lenchner,Giuseppe Liotta,Christophe Paul,Marc Pougetet al. CCCG 2008 - 20th Annual Canadian Conference on Computational Geometry, Aug 2008, Montréal, Québec, Canada. pp.23-26 Communication dans un congrès lirmm-00324589v1
Estimating Differential Quantities Using Polynomial Fitting of Osculating Jets Frédéric Cazals,Marc Pouget Eurographics Symposium on Geometry Processing, Jun 2003, Aachen, Germany. pp.177-187 Communication dans un congrès hal-00103047v1

Chapitre d'ouvrage (3)

Ridges and Umbilics of Polynomial Parametric Surfaces Frédéric Cazals,Jean-Charles Faugère,Marc Pouget,Fabrice Rouillier 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⟩ Chapitre d'ouvrage inria-00329762v1
Estimation of Local Differential Properties Frédéric Cazals,Marc Pouget CGAL Editorial Board. CGAL User and Reference Manual 3.3 edition, CGAL Editorial Board, 2007 Chapitre d'ouvrage inria-00580419v1
Approximation of Ridges and Umbilics on Triangulated Surface Meshes Frédéric Cazals,Marc Pouget CGAL Editorial Board. CGAL User and Reference Manual 3.3 edition, CGAL Editorial Board, 2007 Chapitre d'ouvrage inria-00580418v1

Pré-publication, Document de travail (5)

Bowyer-Watson Algorithm for Delaunay Triangulation on Hyperbolic Surfaces Vincent Despré,Dorian Perrot,Marc Pouget 2026 Pré-publication, Document de travail (preprint/prepublication) hal-05505880v1
ε-Net Algorithm Implementation on Hyperbolic Surfaces Vincent Despré,Camille Lanuel,Marc Pouget,Monique Teillaud 2024 Pré-publication, Document de travail hal-04820353v3
An Improved Complexity Bound for Computing the Topology of a Real Algebraic Space Curve Jin-San Cheng,Kai Jin,Marc Pouget,Junyi Wen,Bingwei Zhang 2021 Pré-publication, Document de travail hal-03469996v1
Fast Guaranteed Drawing of High Degree Algebraic Curves Nuwan Herath Mudiyanselage,Guillaume Moroz,Marc Pouget 2021 Pré-publication, Document de travail hal-03465123v1
Isolating the singularities of the plane projection of a generic space curve George Krait,Sylvain Lazard,Guillaume Moroz,Marc Pouget 2020 Pré-publication, Document de travail hal-02612412v1

Rapport (14)

Reliable location with respect to the projection of a smooth space curve Rémi Imbach,Guillaume Moroz,Marc Pouget [Research Report] INRIA. 2017 Rapport (rapport de recherche) hal-01632344v1
Numeric certified algorithm for the topology of resultant and discriminant curves Rémi Imbach,Guillaume Moroz,Marc Pouget [Research Report] RR-8653, Inria. 2015 Rapport (rapport de recherche) hal-01093040v3
Bivariate Triangular Decompositions in the Presence of Asymptotes Sylvain Lazard,Marc Pouget,Fabrice Rouillier [Research Report] INRIA. 2015 Rapport (rapport de recherche) hal-01200802v1
Improved algorithms for solving bivariate systems via Rational Univariate Representations Yacine Bouzidi,Sylvain Lazard,Guillaume Moroz,Marc Pouget,Fabrice Rouillieret al. [Research Report] Inria. 2015 Rapport (rapport de recherche) hal-01114767v2
Separating linear forms for bivariate systems Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier [Research Report] RR-8261, INRIA. 2013, pp.20 Rapport (rapport de recherche) hal-00802693v2
Silhouette of a random polytope Marc Glisse,Sylvain Lazard,Julien Michel,Marc Pouget [Research Report] RR-8327, INRIA. 2013, pp.13 Rapport (rapport de recherche) hal-00841374v2
Rational Univariate Representations of Bivariate Systems and Applications Yacine Bouzidi,Sylvain Lazard,Marc Pouget,Fabrice Rouillier [Research Report] RR-8262, INRIA. 2013, pp.26 Rapport (rapport de recherche) hal-00802698v2
Jet_fitting_3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting Frédéric Cazals,Marc Pouget [Research Report] RR-6093, INRIA. 2007, pp.18 Rapport (rapport de recherche) inria-00123501v2
Topologically certified approximation of umbilics and ridges on polynomial parametric surface Frédéric Cazals,Jean-Charles Faugère,Marc Pouget,Fabrice Rouillier [Research Report] RR-5674, INRIA. 2005, pp.36 Rapport (rapport de recherche) inria-00071225v1
The implicit structure of ridges of a smooth parametric surface Frédéric Cazals,Jean-Charles Faugère,Marc Pouget,Fabrice Rouillier [Research Report] RR-5608, INRIA. 2005, pp.30 Rapport (rapport de recherche) inria-00071237v1
Topology driven algorithms for ridge extraction on meshes Frédéric Cazals,Marc Pouget [Research Report] RR-5526, INRIA. 2005, pp.29 Rapport (rapport de recherche) inria-00070481v1
Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: a concise overview Frédéric Cazals,Marc Pouget RR-5138, INRIA. 2004 Rapport inria-00071445v1
Ridges and umbilics of a sampled smooth surface: a complete picture gearing toward topological coherence Frédéric Cazals,Marc Pouget RR-5294, INRIA. 2004, pp.36 Rapport inria-00070706v1
Estimating Differential Quantities using Polynomial fitting of Osculating Jets Frédéric Cazals,Marc Pouget RR-4823, INRIA. 2003 Rapport inria-00071763v1

Thèse (1)

Geometry of surfaces : from the estimation of local differential quantities to the robust extraction of global differential features Marc Pouget Mathematics [math]. Université Nice Sophia Antipolis, 2005. English. ⟨NNT : ⟩ Thèse tel-00102998v1

HDR (1)

Bivariate systems and topology of plane curves: algebraic and numerical methods Marc Pouget Symbolic Computation [cs.SC]. Université de Lorraine, 2022 HDR tel-03706282v1