Affiliation:
1. Yale University, New Haven, CT, USA
2. University of California, Santa Cruz, Santa Cruz, CA, USA
3. Yale University, USA
Abstract
We present an isotropic, hyperelastic model specifically designed for the efficient simulation of tightly coiled hairs whose curl radii approach 5 mm. Our model is robust to large bends and torsions, even when they appear at the scale of the strand discretization. The terms of our model are consistently quadratic with respect to their primary variables, do not require per-edge frames or any parallel transport operators, and can efficiently take large timesteps on the order of ~1/30 of a second. Additionally, we show that it is possible to obtain fast, closed-form eigensystems for all the terms in the energy. Our eigenanalysis is sufficiently generic that it generalizes to other models. Our entirely vertex-based formulation integrates naturally with existing finite element codes, and we demonstrate its efficiency and robustness in a variety of scenarios.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design,Computer Science Applications
Reference66 articles.
1. Leal Alexander. 2023. Instagram. https://www.instagram.com/curlygallal/
2. Ken-ichi Anjyo, Yoshiaki Usami, and Tsuneya Kurihara. 1992. A simple method for extracting the natural beauty of hair. In Proc. of SIGGRAPH. 111--120.
3. Global geometry of polygons. III. Frenet frames and theorems of Jacobi and Milnor for space polygons;Banchoff TF;Rad Jugoslav. Akad. Znan. Umjet,1982
4. Large steps in cloth simulation
5. Discrete viscous threads