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Discrete Elastic Rods Miklos Bergou

Summary: Discrete Elastic Rods
Mikl´os Bergou
Columbia University
Max Wardetzky
Freie Universit¨at Berlin
Stephen Robinson
Columbia University
Basile Audoly
CNRS / UPMC Univ Paris 06
Eitan Grinspun
Columbia University
Figure 1: Experiment and simulation: A simple (trefoil) knot tied on an elastic rope can be turned into a number of fascinating shapes
when twisted. Starting with a twist-free knot (left), we observe both continuous and discontinuous changes in the shape, for both directions
of twist. Using our model of Discrete Elastic Rods, we are able to reproduce experiments with high accuracy.
We present a discrete treatment of adapted framed curves, paral-
lel transport, and holonomy, thus establishing the language for a
discrete geometric model of thin flexible rods with arbitrary cross
section and undeformed configuration. Our approach differs from
existing simulation techniques in the graphics and mechanics lit-


Source: Audoly, Basile - Institut Jean Le Rond D'Alembert, Université Pierre-et-Marie-Curie, Paris 6
Columbia University, Department of Computer Science, Languages and Compilers Research Group
Kazhdan, Michael - Department of Computer Science, Johns Hopkins University
Wardetzky, Max - Institut für Numerische und Angewandte Mathematik, Georg-August-Universität Göttingen


Collections: Computer Technologies and Information Sciences; Materials Science; Mathematics; Physics