L-SYSTEMS IN GEOMETRIC MODELING
We show at parametric context-sensitive L-systems with at line geometry interpretation provide a succinct description of some of the most fundamental algorithms of geometric modeling of curves. Examples include the Lane-Riesenfeld algorithm for generating B-splines, the de Casteljau algorithm for generating Bezier curves, and their extensions to rational curves. Our results generalize the previously reported geometric-modeling applications of L-systems, which were limited to subdivision curves.
l-system de casteljau algorithm bezier curve subdivision affine geometry b-spline lane-riesenfield algorithm