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- FrÃ©dÃ©ric Cazals, Marc Pouget
- Symposium on Geometry Processing
- 2003

This paper addresses the pointwise estimation of differential properties of a smooth manifold S â€”a curve in the plane or a surface in 3Dâ€” assuming a point cloud sampled over S is provided. The methodâ€¦ (More)

Given a smooth surface, a blue (red) ridge is a curve along which the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges are curves of extremal curvature andâ€¦ (More)

- Jin-San Cheng, Sylvain Lazard, Luis Mariano PeÃ±aranda, Marc Pouget, Fabrice Rouillier, Elias P. Tsigaridas
- Mathematics in Computer Science
- 2010

We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of singular andâ€¦ (More)

- FrÃ©dÃ©ric Cazals, Jean-Charles FaugÃ¨re, Marc Pouget, Fabrice Rouillier
- Computer Aided Geometric Design
- 2006

Given a smooth surface, a blue (red) ridge is a curve such that at each of its points, the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges are curves ofâ€¦ (More)

- Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier
- ISSAC
- 2013

We present an algorithm for computing a separating linear form of a system of bivariate polynomials with integer coefficients, that is a linear combination of the variables that takes differentâ€¦ (More)

- FrÃ©dÃ©ric Cazals, Marc Pouget, ThÃ¨me
- 2005

Given a smooth surface, a ridge is a curve along which one of the principal curvatures has an extremum along its curvature line. Ridges are curves of extremal curvature and therefore encode importantâ€¦ (More)

- FrÃ©dÃ©ric Cazals, Marc Pouget
- ACM Trans. Math. Softw.
- 2008

Surfaces of R3 are ubiquitous in science and engineering, and estimating the local differential properties of a surface discretized as a point cloud or a triangle mesh is a central building block inâ€¦ (More)

This paper describes the CGAL package for the approximating the ridges and umbilics of a smooth surface discretized by a triangle mesh. Given a smooth surface, a ridge is a curve along which one ofâ€¦ (More)

- Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier
- ISSAC
- 2013

We address the problem of solving systems of two bivariate polynomials of total degree at most <i>d</i> with integer coefficients of maximum bitsize Ï„ We suppose known a linear separating form (thatâ€¦ (More)

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