112 citations · 425 across the 52 of their papers we have counts for
4 papers · 2 filters
Tensor decomposition and homotopy continuation
Alessandra Bernardi, Noah S. Daleo, Jonathan D. Hauenstein +1
A computationally challenging classical elimination theory problem is to compute polynomials which vanish on the set of tensors of a given rank. By moving away from computing polyn…
Geometrically continuous splines for surfaces of arbitrary topology
Bernard Mourrain, Raimundas Vidunas, Nelly Villamizar
We analyze the space of geometrically continuous piecewise polynomial functions or splines for quadrangular and triangular patches with arbitrary topology and general rational tran…
On the construction of general cubature formula by flat extensions
Marta Abril Bucero, Chandrajit Bajaj, Bernard Mourrain
We describe a new method to compute general cubature formulae. The problem is initially transformed into the computation of truncated Hankel operators with flat extensions. We then…
Certifying isolated singular points and their multiplicity structure
Jonathan D. Hauenstein, Bernard Mourrain, Agnes Szanto
This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construc-tion…