2014
DOI: 10.1145/2601097.2601100
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Adaptive nonlinearity for collisions in complex rod assemblies

Abstract: We develop an algorithm for the efficient and stable simulation of large-scale elastic rod assemblies. We observe that the time-integration step is severely restricted by a strong nonlinearity in the response of stretching modes to transversal impact, the degree of this nonlinearity varying greatly with the shape of the rod. Building on these observations, we propose a collision response algorithm that adapts its degree of nonlinearity. We illustrate the advantages of the resulting algorithm by analyzing simul… Show more

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Cited by 63 publications
(50 citation statements)
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“…Compared with the same elastic rod model by Kaufman et al [2014], our linearized solver suffers less cost per time step, although it also requires smaller time steps for the stiff repulsive/cohesive constraints between hairs. Overall the cost of our hair dynamics are comparable with the dry contact timings reported in prior work that handles per-strand collisions.…”
Section: Discussion Of Limitations and Future Workmentioning
confidence: 99%
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“…Compared with the same elastic rod model by Kaufman et al [2014], our linearized solver suffers less cost per time step, although it also requires smaller time steps for the stiff repulsive/cohesive constraints between hairs. Overall the cost of our hair dynamics are comparable with the dry contact timings reported in prior work that handles per-strand collisions.…”
Section: Discussion Of Limitations and Future Workmentioning
confidence: 99%
“…A survey of earlier hair simulation work can be found in the reviews by and Hadap et al [2007]. More recently, several works have aimed towards making hair inextensible [Han and Harada 2013;Müller et al 2012], or combining position based dynamics [Kugelstadt and Schömer 2016] with the discrete elastic rods (DER) framework [Bergou et al 2010[Bergou et al , 2008Kaufman et al 2014]. Additionally, Iben et al [2013] proposed an artistic way to control curly hairs.…”
Section: Related Workmentioning
confidence: 99%
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“…This is a difficult problem for one dimensional models (with zero thickness) since, within a single time step a portion of the rod can pass through a different portion and collisions or interpenetration may not be detected at all. This collision of portions of the thread with itself raises difficulties in collision detection and response ( Akutsu and Wadati, 1988;Kaufman et al, 2014 ).…”
Section: Simulation Of Plectoneme Formation and Tying Knotmentioning
confidence: 99%