14 citations · 23 across the 4 of their papers we have counts for
4 papers
Some geometrical aspects of control points for toric patches
Gheorghe Craciun, Luis Garcia-Puente, Frank Sottile
We use ideas from algebraic geometry and dynamical systems to explain some ways that control points influence the shape of a Bézier curve or patch. In particular, we establish a ge…
Linear precision for parametric patches
Luis Garcia-Puente, Frank Sottile
We give a precise mathematical formulation for the notions of a parametric patch and linear precision, and establish their elementary properties. We relate linear precision to the…
Computing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases
Maria A. Avino-Diaz, Luis D. Garcia-Puente
We introduce a general constructive method to find a p-basis (and the Ulm invariants) of a finite Abelian p-group M. This algorithm is based on Groebner bases theory. We apply this…
Algebraic Geometry of Bayesian Networks
Luis David Garcia, Michael Stillman, Bernd Sturmfels
We study the algebraic varieties defined by the conditional independence statements of Bayesian Networks. A complete algebraic classification is given for Bayesian Networks on at m…