AI 中文总结
该研究针对卷发模拟难题，提出将发丝分解为卷曲元素的模型，采用曲率能量分裂等方法，引入混合碰撞处理策略，能在保持视觉效果的同时提高效率和鲁棒性，实现多种场景下卷发的稳定高效模拟。
AI 中文摘要
由于宏观发丝变形与高频几何细节（如波浪和螺旋）之间的紧密耦合，逼真的卷发模拟具有挑战性。本文提出一种卷发模型，将每根发丝分解为卷曲元素，由杆状基础构型和由平面波或体积螺旋表示的解析定义的高频皱纹组成，波浪发主要由弯曲变形，螺旋发主要由扭转变形。曲率能量分裂方案分离拉伸、屈曲和弯曲贡献，有效的能量近似提高数值鲁棒性并降低计算成本，同时不降低视觉保真度。还引入混合碰撞处理策略，结合基础构型的粗碰撞代理与高频细节的解析处理，并使引导发丝插值适应卷曲有限元表示以生成密集头发并保留精细结构。实验证明在各种场景下都能对卷发进行稳定、高效且视觉逼真的模拟。
英文摘要
Realistic simulation of curly hair is challenging due to the tight coupling between macroscopic strand deformation and high-frequency geometric details such as waves and helices. In this paper, we propose a curly hair model that decomposes each strand into curly elements, consisting of a rod-base configuration and an analytically defined high-frequency wrinkles represented by planar waves or volumetric helices, with deformation governed primarily by bending for wavy hair and twisting for spiral hair. A curvature-energy splitting scheme separates stretching, buckling, and bending contributions, and efficient energy approximations improve numerical robustness and reduce computational cost without degrading visual fidelity. We further introduce a hybrid collision handling strategy that combines coarse collision proxies for the base configuration with analytical treatment of high-frequency details, and adapt guide-strand interpolation to our curly finite-element representation to generate dense hair while preserving fine structure. Experiments demonstrate stable, efficient, and visually faithful simulation of curly hair across diverse scenarios.
