12 citations · 21 across the 11 of their papers we have counts for
12 papers
Fibers of rational maps and elimination matrices: an application oriented approach
Laurent Busé, Marc Chardin
Parameterized algebraic curves and surfaces are widely used in geometric modeling and their manipulation is an important task in the processing of geometric models. In particular,…
Multigraded Sylvester forms, Duality and Elimination Matrices
Laurent Busé, Marc Chardin, Navid Nemati
In this paper we study the equations of the elimination ideal associated with generic multihomogeneous polynomials defined over a product of projective spaces of dimension $n…
Determinantal tensor product surfaces and the method of moving quadrics
Laurent Busé, Falai Chen
A tensor product surface is an algebraic surface that is defined as the closure of the image of a rational map from to $\mathbb{…
Formulas for the eigendiscriminants of ternary and quaternary forms
Laurent Busé
A -dimensional tensor of format defines naturally a rational map from the projective space to itself and its eigensc…
Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces
Nicolás Botbol, Laurent Busé, Marc Chardin +1
We contribute a new algebraic method for computing the orthogonal projections of a point onto a rational algebraic surface embedded in the three dimensional projective space. This…
Generalized weight properties of resultants and discriminants, and applications to projective enumerative geometry
Laurent Busé, Thomas Dedieu
The goal of this text is to understand and prove a formula stated by Salmon, which gives the first terms of some Taylor expansion of the discriminant of a plane algebraic curve. Sa…