Marc Pouget

发表

Solving bivariate systems using Rational Univariate Representations

Fabrice Rouillier, Sylvain Lazard, Guillaume Moroz, 2016, J. Complex..

On the Topology of Real Algebraic Plane Curves

Fabrice Rouillier, Sylvain Lazard, Marc Pouget, 2010, Math. Comput. Sci..

On the topology of planar algebraic curves

Fabrice Rouillier, Sylvain Lazard, Marc Pouget, 2008, SCG '09.

Isolating the singularities of the plane projection of a generic space curve

Sylvain Lazard, Guillaume Moroz, Marc Pouget, 2020 .

Improved algorithm for computing separating linear forms for bivariate systems

Fabrice Rouillier, Sylvain Lazard, Guillaume Moroz, 2014, ISSAC.

Rational univariate representations of bivariate systems and applications

Fabrice Rouillier, Sylvain Lazard, Yacine Bouzidi, 2013, ISSAC '13.

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)

Marc Pouget, M. Pouget, 2005 .

A certified numerical algorithm for the topology of resultant and discriminant curves

Guillaume Moroz, Marc Pouget, Rémi Imbach, 2017, J. Symb. Comput..

The implicit structure of ridges of a smooth parametric surface

Fabrice Rouillier, Jean-Charles Faugère, Marc Pouget, 2006, Comput. Aided Geom. Des..

Numeric certified algorithm for the topology of resultant and discriminant curves pdf

Guillaume Moroz, Marc Pouget, 2014, ArXiv.

Separating linear forms and Rational Univariate Representations of bivariate systems

Fabrice Rouillier, Sylvain Lazard, Yacine Bouzidi, 2015, J. Symb. Comput..

Algorithms for Complex Shapes with Certified Numerics and Topology Jet fitting 3 : A Generic C + + Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting

Marc Pouget, Frédéric Cazals, F. Cazals, 2007 .

Silhouette of a random polytope

Sylvain Lazard, Marc Glisse, Julien Michel, 2016, J. Comput. Geom..

Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve

Guillaume Moroz, Marc Pouget, Rémi Imbach, 2015, MACIS.

Estimating differential quantities using polynomial fitting of osculating jets

Marc Pouget, Frédéric Cazals, F. Cazals, 2003, Comput. Aided Geom. Des..

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

Fabrice Rouillier, Sylvain Lazard, Yacine Bouzidi, 2013, ArXiv.

Clustering Complex Zeros of Triangular Systems of Polynomials

Marc Pouget, Chee Yap, R'emi Imbach, 2018 .

Bivariate triangular decompositions in the presence of asymptotes

Fabrice Rouillier, Sylvain Lazard, Marc Pouget, 2017, J. Symb. Comput..

Reliable Computation of the Singularities of the Projection in ℝ3 of a Generic Surface of ℝ4

Guillaume Moroz, Marc Pouget, Sény Diatta, 2019, MACIS.

A note on alpha-drawable k-trees

Giuseppe Liotta, Stephen K. Wismath, Christophe Paul, 2008, CCCG.

Separating linear forms for bivariate systems

Fabrice Rouillier, Sylvain Lazard, Yacine Bouzidi, 2013, ISSAC '13.

Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves

Sylvain Lazard, Guillaume Moroz, Marc Pouget, 2021, J. Comput. Appl. Math..

The Voronoi diagram of three arbitrary lines in R3

Hazel Everett, Sylvain Lazard, Marc Pouget, 2009 .

Ridges and umbilics of a sampled smooth surface: a complete picture gearing toward topological coherence

Marc Pouget, Frédéric Cazals, 2004 .

Topologically certified approximation of umbilics and ridges on polynomial parametric surface

Fabrice Rouillier, Jean-Charles Faugère, Marc Pouget, 2005 .

Ridges and Umbilics of Polynomial Parametric Surfaces

Fabrice Rouillier, Jean-Charles Faugère, Marc Pouget, 2005 .

New bivariate system solver and topology of algebraic curves

Fabrice Rouillier, Sylvain Lazard, Yacine Bouzidi, 2011 .

Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: a concise overview

Marc Pouget, Frédéric Cazals, F. Cazals, 2004 .

Estimation of Local Differential Properties

Marc Pouget, Frédéric Cazals, 2006 .

Improved algorithms for solving bivariate systems via Rational Univariate Representations

Fabrice Rouillier, Sylvain Lazard, Guillaume Moroz, 2015 .