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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-00070481v1  Reports
Frédéric Cazals, Marc Pouget. Topology driven algorithms for ridge extraction on meshes
[Research Report] RR-5526, INRIA. 2005, pp.29
lirmm-00324589v1  Conference papers
David Bremner, Jonathan Lenchner, Giuseppe Liotta, Christophe Paul, Marc Pouget et al.  A Note on α-Drawable k-Trees
CCCG'08: Canadian Conference on Computational Geometry, Canada. pp.23-27
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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-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-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-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-00517175v1  Journal articles
Jinsan Cheng, Sylvain Lazard, Luis Mariano 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-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-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-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-00425383v1  Conference papers
Jinsan Cheng, Sylvain Lazard, Luis Mariano 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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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-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-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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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-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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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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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-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-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-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-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-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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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
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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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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-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-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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