基于动态超螺旋线的三维头发建模*

计算机动画中，模拟人的头发是非常困难的。基于动态的、不可伸展弹性杆的基尔霍夫方程，提出采用超螺旋线表示头发股来解决头发股的弯曲和挠曲的非线性行为。将头发股分成N段，使用拉格朗日力学定律动画绘制每段超螺旋杆，最后将各段连接起来，构成整个头发股。基于其他可行的模型与动态超螺旋线模型的比较，实验结果显示模型能够有效地处理大范围具有高逼真度的卷发。

Modeling 3D hairs based on dynamic super-helices

Simulating human hair is recognized as one of the most difficult tasks in computer animation.The concept that each strand was represented by a Super-Helix was presented to solve the nonlinear behavior of hair strands with respect to bending and twisting, based on the Kirchhoff equations for dynamic, inextensible elastic rods. Hair grand was divided into N pieces,which each piecewise helical rod which was animated using the principles of Lagrangian mechanics.At last, each piece would be connected to constitute the entire hair grand. A series of experiments based on the comparison of other realistic models for dynamic hair and dynamic Super-Helix, which shows that the model efficiently handles a wide range of curls with a high level of realism.