3 citations · 4 across the 5 of their papers we have counts for
6 papers
A matrix-based approach to properness and inversion problems for rational surfaces
Carlos D'Andrea, Laurent Buse
We present a matrix-based algorithm for deciding if the parametrization of a curve or a surface is invertible or not, and for computing the inverse of the parametrization if it exi…
Implicitizing rational hypersurfaces using approximation complexes
Laurent Buse, Marc Chardin
In this paper we describe an algorithm for implicitizing rational hypersurfaces in case there exists at most a finite number of base points. It is based on a technique exposed in m…
A resultant approach to detect intersecting curves in $\PP^3$
Laurent Buse, Andre Galligo
Given two curves in $\PP^3$, either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant…
On the closed image of a rational map and the implicitization problem
Laurent Buse, Jean-Pierre Jouanolou
In this paper, we investigate some topics around the closed image of a rational map given by some homogeneous elements of the same degree in a graded algebra…
Determinantal resultant
Laurent Buse
In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This operator computes the projection of a determinantal variety under suitable hypothesi…
Implicitization of surfaces in P^3 in the presence of base points
Laurent Buse, David Cox, Carlos D'Andrea
We show that the method of moving quadrics for implicitizing surfaces in P^3 applies in certain cases where base points are present. However, if the ideal defined by the parametriz…