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. © 2012 World Scientific Publishing Company.
CITATION STYLE
Prusinkiewicz, P., Shirmohammadi, M., & Samavati, F. (2012). L-systems in geometric modeling. International Journal of Foundations of Computer Science, 23(1), 133–146. https://doi.org/10.1142/S0129054112400096
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