## L-SYSTEMS IN GEOMETRIC MODELING (2012)

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by
Przemyslaw Prusinkiewicz
,
Mitra Shirmohammadi

### BibTeX

@MISC{Prusinkiewicz12l-systemsin,

author = {Przemyslaw Prusinkiewicz and Mitra Shirmohammadi},

title = { L-SYSTEMS IN GEOMETRIC MODELING},

year = {2012}

}

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### Abstract

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 Bézier 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.