16 citations · 27 across the 4 of their papers we have counts for
4 papers
Matrix representations for toric parametrizations
Nicolás Botbol, Alicia Dickenstein, Marc Dohm
In this paper we show that a surface in P^3 parametrized over a 2-dimensional toric variety T can be represented by a matrix of linear syzygies if the base points are finite in num…
The implicit equation of a canal surface
Marc Dohm, Severinas Zube
A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generate…
Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies
Laurent Busé, Marc Dohm
We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree (d,d), for a given positive integer d, can…
Implicitization of rational ruled surfaces with -bases
Marc Dohm
Chen, Sederberg, and Zheng introduced the notion of a -basis for a rational ruled surface in Chen et al. (2001) and showed that its resultant is the implicit equation of the sur…