Search - Archive ouverte HAL Access content directly

Filter your results

49 Results
Image document

Jet_fitting_3: A Generic C++ Package for Estimating the Differential Properties on Sampled Surfaces via Polynomial Fitting

Frédéric Cazals , Marc Pouget
[Research Report] RR-6093, INRIA. 2007, pp.18
Reports inria-00123501v2
Image document

New bivariate system solver and topology of algebraic curves

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
27th European Workshop on Computational Geometry - EuroCG 2011, Mar 2011, Morschach, Switzerland
Conference papers inria-00580431v1
Image document

Geometry of surfaces : from the estimation of local differential quantities to the robust extraction of global differential features

Marc Pouget
Mathematics [math]. Université Nice Sophia Antipolis, 2005. English. ⟨NNT : ⟩
Theses tel-00102998v1
Image document

Reliable location with respect to the projection of a smooth space curve

Rémi Imbach , Guillaume Moroz , Marc Pouget
[Research Report] INRIA. 2017
Reports hal-01632344v1
Image document

Clustering Complex Zeros of Triangular System of Polynomials

Rémi Imbach , Marc Pouget , Chee Yap
CASC 2019 - 21st International Workshop on Computer Algebra in Scientific Computing, Aug 2019, Moscow, Russia
Conference papers hal-01825708v3
Image document

Separating Linear Forms for Bivariate Systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124
Conference papers hal-00809425v1
Image document

Rational Univariate Representations of Bivariate Systems and Applications

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116
Conference papers hal-00809430v1

Estimation of Local Differential Properties

Frédéric Cazals , Marc Pouget
CGAL Editorial Board. CGAL User and Reference Manual 3.3 edition, CGAL Editorial Board, 2007
Book sections inria-00580419v1
Image document

Ridges and Umbilics of Polynomial Parametric Surfaces

Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier
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⟩
Book sections inria-00329762v1
Image document

Bivariate systems and topology of plane curves: algebraic and numerical methods

Marc Pouget
Symbolic Computation [cs.SC]. Université de Lorraine, 2022
Habilitation à diriger des recherches tel-03706282v1
Image document

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

Rémi Imbach , Guillaume Moroz , Marc Pouget
Journal of Symbolic Computation, 2016, 80, Part 2, pp.285--306. ⟨10.1016/j.jsc.2016.03.011⟩
Journal articles hal-01402194v1
Image document

Silhouette of a random polytope

Marc Glisse , Sylvain Lazard , Julien Michel , Marc Pouget
[Research Report] RR-8327, INRIA. 2013, pp.13
Reports hal-00841374v2
Image document

Numeric certified algorithm for the topology of resultant and discriminant curves

Rémi Imbach , Guillaume Moroz , Marc Pouget
[Research Report] RR-8653, Inria. 2015
Reports hal-01093040v3
Image document

Numerical Algorithm for the Topology of Singular Plane Curves

George Krait , Sylvain Lazard , Guillaume Moroz , Marc Pouget
EuroCG 2019 - 35th European Workshop on Computational Geometry, Mar 2019, Utrecht, Netherlands
Conference papers hal-02294028v1
Image document

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

George Krait , Sylvain Lazard , Guillaume Moroz , Marc Pouget
Journal of Computational and Applied Mathematics, 2021, 394, pp.113553. ⟨10.1016/j.cam.2021.113553⟩
Journal articles hal-03161393v1
Image document

Separating linear forms for bivariate systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] RR-8261, INRIA. 2013, pp.20
Reports hal-00802693v2
Image document

Separating linear forms and Rational Univariate Representations of bivariate systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
Journal of Symbolic Computation, 2015, 68, pp.84-119. ⟨10.1016/j.jsc.2014.08.009⟩
Journal articles hal-00977671v1
Image document

The implicit structure of ridges of a smooth parametric surface

Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier
Computer Aided Geometric Design, 2006, 23 (7), pp.582-598. ⟨10.1016/j.cagd.2006.04.002⟩
Journal articles inria-00097581v1
Image document

An Improved Complexity Bound for Computing the Topology of a Real Algebraic Space Curve

Jin-San Cheng , Kai Jin , Marc Pouget , Junyi Wen , Bingwei Zhang et al.
2021
Preprints, Working Papers, ... hal-03469996v1
Image document

Improved algorithm for computing separating linear forms for bivariate systems

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier et al.
ISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan
Conference papers hal-00992634v1
Image document

Rational Univariate Representations of Bivariate Systems and Applications

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] RR-8262, INRIA. 2013, pp.26
Reports hal-00802698v2
Image document

Bivariate Triangular Decompositions in the Presence of Asymptotes

Sylvain Lazard , Marc Pouget , Fabrice Rouillier
[Research Report] INRIA. 2015
Reports hal-01200802v1
Image document

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

Rémi Imbach , Guillaume Moroz , Marc Pouget
Proceedings of the 6th International Conferences on Mathematical Aspects of Computer and Information Sciences, Oct 2015, Berlin, Germany
Conference papers hal-01239447v1
Image document

Estimating Differential Quantities using Polynomial fitting of Osculating Jets

Frédéric Cazals , Marc Pouget
Computer Aided Geometric Design, 2005, 22 (2), pp.121-146
Journal articles inria-00097582v1
Image document

Estimating Differential Quantities using Polynomial fitting of Osculating Jets

Frédéric Cazals , Marc Pouget
RR-4823, INRIA. 2003
Reports inria-00071763v1
Image document

On The Topology of Planar Algebraic Curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier et al.
24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216
Conference papers inria-00329754v1
Image document

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

Frédéric Cazals , Marc Pouget
RR-5138, INRIA. 2004
Reports inria-00071445v1
Image document

Improved algorithms for solving bivariate systems via Rational Univariate Representations

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier et al.
[Research Report] Inria. 2015
Reports hal-01114767v2
Image document

Silhouette of a random polytope

Marc Glisse , Sylvain Lazard , Julien Michel , Marc Pouget
Journal of Computational Geometry, 2016, 7 (1), pp.14. ⟨10.20382/jocg.v7i1a5⟩
Journal articles hal-01289699v1
Image document

Bivariate triangular decompositions in the presence of asymptotes

Sylvain Lazard , Marc Pouget , Fabrice Rouillier
Journal of Symbolic Computation, 2017, 82, pp.123 - 133. ⟨10.1016/j.jsc.2017.01.004⟩
Journal articles hal-01468796v1