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Marc Pouget

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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⟩
Journal articles hal-03161393v1
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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⟩
Journal articles hal-02878388v1
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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
Journal articles hal-01920444v1
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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⟩
Journal articles hal-01468796v1
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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⟩
Journal articles hal-01289699v1
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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⟩
Journal articles hal-01402194v1
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Solving bivariate systems using Rational Univariate Representations

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier
Journal of Complexity, 2016, 37, pp.34--75. ⟨10.1016/j.jco.2016.07.002⟩
Journal articles hal-01342211v2
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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⟩
Journal articles hal-00977671v1
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On the topology of real algebraic plane curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
Mathematics in Computer Science, 2010, 4 (1), pp.113-137. ⟨10.1007/s11786-010-0044-3⟩
Journal articles inria-00517175v1
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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⟩
Journal articles inria-00329731v1
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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⟩
Journal articles inria-00097581v1
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Estimating Differential Quantities using Polynomial fitting of Osculating Jets

Frédéric Cazals , Marc Pouget
Computer Aided Geometric Design, 2005, 22 (2), pp.121-146
Journal articles inria-00097582v1
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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⟩
Journal articles hal-00103023v1
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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⟩
Conference papers hal-03788409v1
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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
Conference papers hal-02294028v1
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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
Conference papers hal-01825708v3
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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
Conference papers hal-02406758v1
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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
Conference papers hal-01239447v1
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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
Conference papers hal-00992634v1
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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
Conference papers hal-00809430v1
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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
Conference papers hal-00809425v1
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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
Conference papers inria-00580431v1
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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
Conference papers inria-00425378v1
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On the topology of planar algebraic curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩
Conference papers inria-00425383v1
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On The Topology of Planar Algebraic Curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216
Conference papers inria-00329754v1
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A Note on α-Drawable k-Trees

David Bremner , Jonathan Lenchner , Giuseppe Liotta , Christophe Paul , Marc Pouget
CCCG 2008 - 20th Annual Canadian Conference on Computational Geometry, Aug 2008, Montréal, Québec, Canada. pp.23-26
Conference papers lirmm-00324589v1
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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
Conference papers hal-00103047v1
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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⟩
Book sections 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
Book sections 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
Book sections inria-00580418v1
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Reliable location with respect to the projection of a smooth space curve

Rémi Imbach , Guillaume Moroz , Marc Pouget
[Research Report] INRIA. 2017
Reports hal-01632344v1
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Bivariate Triangular Decompositions in the Presence of Asymptotes

Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] INRIA. 2015
Reports hal-01200802v1
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Improved algorithms for solving bivariate systems via Rational Univariate Representations

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier
[Research Report] Inria. 2015
Reports hal-01114767v2
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Numeric certified algorithm for the topology of resultant and discriminant curves

Rémi Imbach , Guillaume Moroz , Marc Pouget
[Research Report] RR-8653, Inria. 2015
Reports hal-01093040v3
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Rational Univariate Representations of Bivariate Systems and Applications

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] RR-8262, INRIA. 2013, pp.26
Reports hal-00802698v2
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Separating linear forms for bivariate systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] RR-8261, INRIA. 2013, pp.20
Reports hal-00802693v2
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Silhouette of a random polytope

Marc Glisse , Sylvain Lazard , Julien Michel , Marc Pouget
[Research Report] RR-8327, INRIA. 2013, pp.13
Reports hal-00841374v2
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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
Reports inria-00123501v2
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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
Reports inria-00071225v1
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Topology driven algorithms for ridge extraction on meshes

Frédéric Cazals , Marc Pouget
[Research Report] RR-5526, INRIA. 2005, pp.29
Reports inria-00070481v1
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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
Reports inria-00071237v1
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Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: a concise overview

Frédéric Cazals , Marc Pouget
RR-5138, INRIA. 2004
Reports inria-00071445v1
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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
Reports inria-00070706v1
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Estimating Differential Quantities using Polynomial fitting of Osculating Jets

Frédéric Cazals , Marc Pouget
RR-4823, INRIA. 2003
Reports inria-00071763v1
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Bivariate systems and topology of plane curves: algebraic and numerical methods

Marc Pouget
Symbolic Computation [cs.SC]. Université de Lorraine, 2022
Habilitation à diriger des recherches tel-03706282v1