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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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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-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⟩
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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-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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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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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-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-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-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-03465123v1  Preprints, Working Papers, ...
Nuwan Mudiyanselage, Guillaume Moroz, Marc Pouget. Fast Guaranteed Drawing of High Degree Algebraic Curves
2021
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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-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-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-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-03469996v1  Preprints, Working Papers, ...
Jin-San Cheng, Kai Jin, Marc Pouget, Junyi Wen, Bingwei Zhang. An Improved Complexity Bound for Computing the Topology of a Real Algebraic Space Curve
2021
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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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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), ⟨10.1145/1391989.1404582⟩
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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
inria-00580419v1  Book sections
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-00580418v1  Book sections
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
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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, 2021, 394, pp.113553. ⟨10.1016/j.cam.2021.113553⟩
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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-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-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-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-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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