112 citations · 425 across the 52 of their papers we have counts for
6 papers · 1 filter
Solving Polynomial Systems via a Stabilized Representation of Quotient Algebras
Simon Telen, Bernard Mourrain, Marc Van Barel
We consider the problem of finding the isolated common roots of a set of polynomial functions defining a zero-dimensional ideal I in a ring R of polynomials over C. We propose a ge…
Sparse polynomial interpolation: sparse recovery, super resolution, or Prony?
Cédric Josz, Jean-Bernard Lasserre, Bernard Mourrain
We show that the sparse polynomial interpolation problem reduces to a discrete super-resolution problem on the -dimensional torus. Therefore the semidefinite programming approac…
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
Gang Xu, Ming Li, Bernard Mourrain +3
In this paper, we propose a general framework for constructing IGA-suitable planar B-spline parameterizations from given complex CAD boundaries consisting of a set of B-spline curv…
Fast algorithm for border bases of Artinian Gorenstein algebras
Bernard Mourrain
Given a multi-index sequence , we present a new efficient algorithm to compute generators of the linear recurrence relations between the terms of . We transform this prob…
-smooth splines on quad meshes with 4-split macro-patch elements
Ahmed Blidia, Bernard Mourrain, Nelly Villamizar
We analyze the space of differentiable functions on a quad-mesh $\cM$, which are composed of 4-split spline macro-patch elements on each quadrangular face. We describe explicit tra…
Structured low rank decomposition of multivariate Hankel matrices
Jouhayna Harmouch, Houssam Khalil, Bernard Mourrain
We study the decomposition of a multivariate Hankel matrix H\_ as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol as a sum of poly…