一类柔软物体悬垂模拟中的变形约束

使用质点—弹簧模型来表示一类柔软物体(如织物)的建模方法在实时模拟技术中得到了广泛的应用。根据质点—弹簧模型的特点，在显式尤拉数值积分方法的基础上，创造性地提出了一种速度修正算法来克服建模方法所产生的超弹性行为。理论分析和实验均证明，该修正算法在不增加原有方法计算复杂度的前提下，有效地改善了悬垂结果的视觉准确性和真实性；同时，该修正算法也有效地弥补了显式尤拉算法的不稳定性。两者相结合的积分算法在模拟一类柔软物体悬垂行为的应用中是快速、稳定和准确的高效算法，非常适合应用于三维服装CAD中。

DEFORMATION CONSTRAINTS IN DRAPING BEHAVIOR OF A KIND OF FLEXIBLE OBJECTS

Techniques utilizing mass-spring(MS) model to representing a kind of flexible objects, like woven fabric, are widely used in the real-time simulation systems. A velocity modification algorithm based on Euler integration method is firstly proposed to overcome the super-elasticity effects of the MS model, which effectively improves the accuracy and reality without adding extra computational complexity. Both theoretical and experimental analyses prove that the modification algorithm effectively recuperate the stability of the simple Euler method.The new technique,which mixes the integration method and modification algorithm for simulating the draping behavior of a kind of flexible objects, is fast, stable accurate, and suitable for the development of 3D garment CAD system.