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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-01200802v1  Reports
Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate Triangular Decompositions in the Presence of Asymptotes
[Research Report] INRIA. 2015
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hal-01468796v1  Journal articles
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⟩
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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-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-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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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-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-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-01632344v1  Reports
Rémi Imbach, Guillaume Moroz, Marc Pouget. Reliable location with respect to the projection of a smooth space curve
[Research Report] INRIA. 2017
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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⟩
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hal-00841374v2  Reports
Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. Silhouette of a random polytope
[Research Report] RR-8327, INRIA. 2013, pp.13
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inria-00425378v1  Conference papers
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
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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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inria-00329754v1  Conference papers
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
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inria-00517175v1  Journal articles
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⟩
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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-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-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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inria-00123501v2  Reports
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
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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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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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inria-00329731v1  Journal articles
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)
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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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inria-00329762v1  Book sections
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⟩
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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-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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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-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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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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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-01114767v2  Reports
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
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hal-01342211v2  Journal articles
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⟩