Stable integration of the dynamic cosserat equations with application to hair modeling

Abstract

In this paper we propose a new method for stable numerical integration of the dynamic Cosserat equations for rods, which constitute a mechanical framework for the physically based modeling of slender structures like DNA strands, drill strings, marine cables or human hair. Our integration method is well-established in the field of structural dynamics and has the major advantage of unconditional stability as well as user controllable numerical damping. We demonstrate its advantages in the context of fiber-based modeling of human hair. To our knowledge this approach has not been used in the computer graphics community before.