A physically based approach to the accurate simulation of stiff fibers and stiff fiber meshes

Dominik Michels*, J. Paul T. Mueller, Gerrit A. Sobottka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We devise a physically based approach to the accurate simulation of stiff fibers like human hair, wool, or yarn. For that we describe fibers as three-dimensional coupled oscillator networks. The application of special analytical mapping expressions allows us to mimic the existence of Youngs and shear modulus in the oscillator network so that real material parameters can be used. For the efficient numerical treatment of the stiff equations of motion of the system a Damped Exponential Time Integrator (DETI) is introduced. This type of integrator is able to take large time steps during the solution process of the stiff system while sustaining stability. It also handles Rayleigh damping analytically by employing the closed-form solution of the fully damped harmonic oscillator. We validate the fiber model against the outcome obtained by solving the special Cosserat theory of rods. Moreover, we demonstrate the efficiency of our approach on some complex fiber assemblies like human hair and fiber meshes. Compared to established methods we reach a significant speed up and at the same time achieve highly accurate results.

Original languageEnglish (US)
Pages (from-to)136-146
Number of pages11
JournalComputers and Graphics (Pergamon)
Volume53
DOIs
StatePublished - Dec 1 2015

Keywords

  • Cosserat rods
  • Exponential integrators
  • Fibers and fiber meshes
  • Hair simulation

ASJC Scopus subject areas

  • Engineering(all)
  • Human-Computer Interaction
  • Computer Graphics and Computer-Aided Design

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