39 citations · 115 across the 19 of their papers we have counts for
20 papers
On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators
Alexandre Lê, Guillaume Rance, Fabrice Rouillier +1
This paper aims to study a specific kind of parallel robot: Spherical Parallel Manipulators (SPM) that are capable of unlimited rolling. A focus is made on the kinematics of such m…
On Isolating Roots in a Multiple Field Extension
Christina Katsamaki, Fabrice Rouillier
We address univariate root isolation when the polynomial's coefficients are in a multiple field extension. We consider a polynomial , where is a multiple algebraic…
PTOPO: Computing the Geometry and the Topology of Parametric Curves
Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas
We consider the problem of computing the topology and describing the geometry of a parametric curve in . We present an algorithm, PTOPO, that constructs an abstract g…
Bounds for polynomials on algebraic numbers and application to curve topology
Daouda Niang Diatta, Sény Diatta, Fabrice Rouillier +2
Let be a given square-free polynomial of total degree with integer coefficients of bitsize less than , and let $V_{\mathbb{R}} (P) := \{ (x,y) \in…
Computing Real Roots of Real Polynomials ... and now For Real!
Alexander Kobel, Fabrice Rouillier, Michael Sagraloff
Very recent work introduces an asymptotically fast subdivision algorithm, denoted ANewDsc, for isolating the real roots of a univariate real polynomial. The method combines Descart…
Computing Chebyshev knot diagrams
P. -V Koseleff, D Pecker, Fabrice Rouillier +1
A Chebyshev curve has a parametrization of the form; \ ; , where are integers, is the Chebys…