Marc Pouget

Orcid: 0000-0001-8085-4134

According to our database1, Marc Pouget authored at least 25 papers between 2005 and 2024.

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Bibliography

2024
An improved complexity bound for computing the topology of a real algebraic space curve.
J. Symb. Comput., 2024

2022
Fast High-Resolution Drawing of Algebraic Curves.
Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

Bivariate systems and topology of plane curves: algebraic and numerical methods.
, 2022

2021
Clustering Complex Zeros of Triangular Systems of Polynomials.
Math. Comput. Sci., 2021

Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves.
J. Comput. Appl. Math., 2021

2019
Reliable Computation of the Singularities of the Projection in ℝ<sup>3</sup> of a Generic Surface of ℝ<sup>4</sup>.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

2017
Bivariate triangular decompositions in the presence of asymptotes.
J. Symb. Comput., 2017

A certified numerical algorithm for the topology of resultant and discriminant curves.
J. Symb. Comput., 2017

2016
Silhouette of a random polytope.
J. Comput. Geom., 2016

Solving bivariate systems using Rational Univariate Representations.
J. Complex., 2016

2015
Separating linear forms and Rational Univariate Representations of bivariate systems.
J. Symb. Comput., 2015

Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

2014
Numeric certified algorithm for the topology of resultant and discriminant curves.
CoRR, 2014

Improved algorithm for computing separating linear forms for bivariate systems.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013
Solving bivariate systems: Efficient worst-case algorithm for computing Rational Univariate Representations and applications
CoRR, 2013

Separating linear forms for bivariate systems.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

Rational univariate representations of bivariate systems and applications.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

2010
On the Topology of Real Algebraic Plane Curves.
Math. Comput. Sci., 2010

2009
On the topology of planar algebraic curves.
Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008
Algorithm 889: Jet_fitting_3: - A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting.
ACM Trans. Math. Softw., 2008

A note on alpha-drawable k-trees.
Proceedings of the 20th Annual Canadian Conference on Computational Geometry, 2008

2006
The implicit structure of ridges of a smooth parametric surface.
Comput. Aided Geom. Des., 2006

2005
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).
PhD thesis, 2005

Differential Topology and Geometry of Smooth Embedded Surfaces: Selected Topics.
Int. J. Comput. Geom. Appl., 2005

Estimating differential quantities using polynomial fitting of osculating jets.
Comput. Aided Geom. Des., 2005


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