L-systems in Geometric Modeling

Details L-systems in Geometric Modeling L-systems in Geometric Modeling

2010-08-10

arxiv.org/abs/1008.1664v1

EPTCS 31, 2010, pp. 3-14

Computer Science

Graphics

In Proceedings DCFS 2010, arXiv:1008.1270

Scientific paper

10.4204/EPTCS.31.3

We show that parametric context-sensitive L-systems with affine 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.

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