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.
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Prusinkiewicz et al. (2012) studied this question.
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