3 citations · 4 across the 5 of their papers we have counts for
5 papers · 1 filter
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…