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inria-00097581v1  Journal articles
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⟩
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hal-01402194v1  Journal articles
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⟩
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hal-00103047v1  Conference papers
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
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hal-01825708v3  Conference papers
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
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inria-00071445v1  Reports
Frédéric Cazals, Marc Pouget. Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: a concise overview
RR-5138, INRIA. 2004
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inria-00070481v1  Reports
Frédéric Cazals, Marc Pouget. Topology driven algorithms for ridge extraction on meshes
[Research Report] RR-5526, INRIA. 2005, pp.29
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inria-00071763v1  Reports
Frédéric Cazals, Marc Pouget. Estimating Differential Quantities using Polynomial fitting of Osculating Jets
RR-4823, INRIA. 2003
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tel-00102998v1  Theses
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
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hal-00809430v1  Conference papers
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
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hal-00809425v1  Conference papers
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
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hal-00802698v2  Reports
Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications
[Research Report] RR-8262, INRIA. 2013, pp.26
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inria-00070706v1  Reports
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
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hal-00802693v2  Reports
Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms for bivariate systems
[Research Report] RR-8261, INRIA. 2013, pp.20
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hal-02294028v1  Conference papers
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
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hal-02406758v1  Conference papers
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
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hal-02612412v1  Preprints, Working Papers, ...
George Krait, Sylvain Lazard, Guillaume Moroz, Marc Pouget. Isolating the singularities of the plane projection of a generic space curve
2020
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hal-00977671v1  Journal articles
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⟩
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hal-02878388v1  Journal articles
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⟩
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hal-00103023v1  Journal articles
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⟩
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inria-00097582v1  Journal articles
Frédéric Cazals, Marc Pouget. Estimating Differential Quantities using Polynomial fitting of Osculating Jets
Computer Aided Geometric Design, Elsevier, 2005, 22 (2), pp.121-146
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hal-01239447v1  Conference papers
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
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hal-01093040v3  Reports
Rémi Imbach, Guillaume Moroz, Marc Pouget. Numeric certified algorithm for the topology of resultant and discriminant curves
[Research Report] RR-8653, Inria. 2015
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hal-01920444v1  Journal articles
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
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hal-03161393v1  Journal articles
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
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inria-00580431v1  Conference papers
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
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inria-00425383v1  Conference papers
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⟩
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inria-00071237v1  Reports
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
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inria-00071225v1  Reports
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
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hal-00992634v1  Conference papers
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
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hal-01289699v1  Journal articles
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⟩