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 language||English (US)|
|Number of pages||11|
|Journal||Computers and Graphics (Pergamon)|
|State||Published - Dec 1 2015|
Bibliographical noteFunding Information:
We are grateful to the financial support of the Max Planck Center for Visual Computing and Communication , the Federal Ministry of Education and Research of the Federal Republic of Germany , and the German National Merit Foundation . Moreover, our thanks go to the anonymous reviewers for many critical comments and feedback.
© 2015 Elsevier Ltd. All rights reserved.
- Cosserat rods
- Exponential integrators
- Fibers and fiber meshes
- Hair simulation
ASJC Scopus subject areas
- Human-Computer Interaction
- Computer Graphics and Computer-Aided Design