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Books and Theses
- 2022
[b2]Marc Pouget:
Bivariate systems and topology of plane curves: algebraic and numerical methods. University of Lorraine, Nancy, France, 2022- 2005
- [b1]Marc Pouget
:
Geometry of surfaces :from the estimation of local differential quantitiesto the robust extraction of global differentialfeatures. (Géométrie des surfaces :de l'estimation des quantités différentielles localesà l'extraction robuste d'éléments caractéristiquesglobaux). University of Nice Sophia Antipolis, France, 2005
Journal Articles
- 2024
- [j13]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. J. Symb. Comput. 125: 102309 (2024) - 2021
- [j12]George Krait, Sylvain Lazard, Guillaume Moroz, Marc Pouget:
Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves. J. Comput. Appl. Math. 394: 113553 (2021) - [j11]Rémi Imbach, Marc Pouget, Chee Yap:
Clustering Complex Zeros of Triangular Systems of Polynomials. Math. Comput. Sci. 15(2): 271-292 (2021) - 2017
- [j10]Rémi Imbach, Guillaume Moroz, Marc Pouget:
A certified numerical algorithm for the topology of resultant and discriminant curves. J. Symb. Comput. 80: 285-306 (2017) - [j9]Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Bivariate triangular decompositions in the presence of asymptotes. J. Symb. Comput. 82: 123-133 (2017) - 2016
- [j8]Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, Michael Sagraloff:
Solving bivariate systems using Rational Univariate Representations. J. Complex. 37: 34-75 (2016) - [j7]Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget:
Silhouette of a random polytope. J. Comput. Geom. 7(1): 86-99 (2016) - 2015
- [j6]Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Separating linear forms and Rational Univariate Representations of bivariate systems. J. Symb. Comput. 68: 84-119 (2015) - 2010
- [j5]Jin-San Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. Tsigaridas:
On the Topology of Real Algebraic Plane Curves. Math. Comput. Sci. 4(1): 113-137 (2010) - 2008
- [j4]Frédéric Cazals, Marc Pouget:
Algorithm 889: Jet_fitting_3: - A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting. ACM Trans. Math. Softw. 35(3): 24:1-24:20 (2008) - 2006
- [j3]Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier:
The implicit structure of ridges of a smooth parametric surface. Comput. Aided Geom. Des. 23(7): 582-598 (2006) - 2005
- [j2]Frédéric Cazals, Marc Pouget:
Estimating differential quantities using polynomial fitting of osculating jets. Comput. Aided Geom. Des. 22: 121-146 (2005) - [j1]Frédéric Cazals, Marc Pouget:
Differential Topology and Geometry of Smooth Embedded Surfaces: Selected Topics. Int. J. Comput. Geom. Appl. 15(5): 511-536 (2005)
Conference and Workshop Papers
- 2022
- [c9]Nuwan Herath Mudiyanselage, Guillaume Moroz, Marc Pouget:
Fast High-Resolution Drawing of Algebraic Curves. ISSAC 2022: 449-458 - 2019
- [c8]Sény Diatta, Guillaume Moroz, Marc Pouget:
Reliable Computation of the Singularities of the Projection in ℝ3 of a Generic Surface of ℝ4. MACIS 2019: 16-34 - 2015
- [c7]Rémi Imbach, Guillaume Moroz, Marc Pouget:
Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve. MACIS 2015: 78-92 - 2014
- [c6]Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier:
Improved algorithm for computing separating linear forms for bivariate systems. ISSAC 2014: 75-82 - 2013
- [c5]Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Rational univariate representations of bivariate systems and applications. ISSAC 2013: 109-116 - [c4]Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Separating linear forms for bivariate systems. ISSAC 2013: 117-124 - 2009
- [c3]Jin-San Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. Tsigaridas:
On the topology of planar algebraic curves. SCG 2009: 361-370 - 2008
- [c2]Svetlana Stolpner, Jonathan Lenchner, Giuseppe Liotta, David Bremner, Christophe Paul, Marc Pouget, Stephen K. Wismath:
A note on alpha-drawable k-trees. CCCG 2008 - 2003
- [c1]Frédéric Cazals, Marc Pouget:
Estimating Differential Quantities using Polynomial fitting of Osculating Jets. Symposium on Geometry Processing 2003: 177-187
Informal and Other Publications
- 2014
- [i4]Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier:
Improved algorithm for computing separating linear forms for bivariate systems. CoRR abs/1405.4740 (2014) - [i3]Guillaume Moroz, Marc Pouget:
Numeric certified algorithm for the topology of resultant and discriminant curves. CoRR abs/1412.3290 (2014) - 2013
- [i2]Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Separating linear forms for bivariate systems. CoRR abs/1303.5041 (2013) - [i1]Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier:
Solving bivariate systems: Efficient worst-case algorithm for computing Rational Univariate Representations and applications. CoRR abs/1303.5042 (2013)
Coauthor Index
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