112 citations · 425 across the 52 of their papers we have counts for
4 papers · 1 filter
Continuous Collision Detection for Composite Quadric Models
Yi-King Choi, Wenping Wang, Bernard Mourrain +3
A composite quadric model (CQM) is an object modeled by piecewise linear or quadric patches. We study the continuous detection problem of a special type of CQM objects which are co…
Exact relaxation for polynomial optimization on semi-algebraic sets
Marta Abril Bucero, Bernard Mourrain
In this paper, we study the problem of computing by relaxation hierarchies the infimum of a real polynomial function f on a closed basic semialgebraic set and the points where this…
Superfast solution of Toeplitz systems based on syzygy reduction
Houssam Khalil, Bernard Mourrain, Michelle Schatzman
We present a new superfast algorithm for solving Toeplitz systems. This algorithm is based on a relation between the solution of such problems and syzygies of polynomials or moving…
Unconstraint global polynomial optimization via Gradient Ideal
Marta Abril Bucero, Bernard Mourrain, Philippe Trebuchet
In this paper, we describe a new method to compute the minimum of a real polynomial function and the ideal defining the points which minimize this polynomial function, assuming tha…