Zobrazeno 1 - 10
of 504
pro vyhledávání: '"Coste, Michel"'
Autor:
Djintelbe, Nestor, Coste, Michel
We introduce a compactification of the group of rigid motions in 3-space derived from the Study model for this group. We use this compactifi-cation in robot kinematics, by considering the boundary of the configuration space of a robot. We study in pa
Externí odkaz:
http://arxiv.org/abs/1910.00319
Autor:
Coste, Michel, Moussa, Seydou
We prove that the set of singular configurations of a general Gough Stewart platform has a rational parametrization. We introduce a reciprocal twist mapping which, for a general orientation of the platform, realizes the cubic surface of singularities
Externí odkaz:
http://arxiv.org/abs/1904.01837
Publikováno v:
Annals of Pure and Applied Logic, 111 (3), 203--256, 2001
We give a general method for producing various effective Null and Positivstellens\"atze, and getting new Positivstellens\"atze in algebraically closed valued fields and ordered groups. These various effective Nullstellens\"atze produce algebraic iden
Externí odkaz:
http://arxiv.org/abs/1701.05794
Publikováno v:
15th International Symposium on Advances in Robot Kinematics, Jun 2016, Grasse, France. 2016
This paper investigates a situation pointed out in a recent paper, in which a non-singular change of assembly mode of a planar 2-RPR-PR parallel manipulator was realized by encircling a point of multiplicity 4. It is shown that this situation is, in
Externí odkaz:
http://arxiv.org/abs/1604.08742
Autor:
Djintelbe, Nestor, Coste, Michel
Publikováno v:
In Journal of Pure and Applied Algebra July 2021 225(7)
We study in this paper a class of 3-RPR manipulators for which the direct kinematic problem (DKP) is split into a cubic problem followed by a quadratic one. These manipulators are geometrically characterized by the fact that the moving triangle is th
Externí odkaz:
http://arxiv.org/abs/1107.4498
Autor:
Coste, Michel, Moussa, Seydou
Publikováno v:
Mathematische Zeitschrift 272, 1 (2012) 239-251
We prove a bound for the geodesic diameter of a subset of the unit ball in $\mathbb{R}^n$ described by a fixed number of quadratic equations and inequalities, which is polynomial in $n$, whereas the known bound for general degree is exponential in $n
Externí odkaz:
http://arxiv.org/abs/1009.0452