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math.AG2008★ 14 cited
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…
math.AG2007
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…