柔软物体物理自由变形仿真

Simulation based on physically soft-object free-form deformation

在虚拟现实和计算机动画技术中,基于几何模型和基于物理模型的方法已经得到广泛的研究。利用几何模型和物理模型相结合的方法,将质点弹簧模型加到Bezier网格上,通过控制Bezier网格上的控制点来达到物体的变形,该方法与直接在物体上建立质点弹簧模型的方法相比更加简单、快速,且更加容易达到物体的全局变形。质点的运动满足拉格朗日运动方程,采用了微分方程组来表示质点的运动规律,并给出了用数值求解法对系统进行了的实时计算的求解过程;同时还将一个简单的柔软物体碰撞处理方法应用在质点-弹簧模型中,实验表明该方法简单有效。

In the computer animation and virtual reality applications,both geometric and physical modeling based methods have been widely studied.In this paper,a mass-spring Bezier volume space is constructed through attaching a basic mass-spring lattice to the bounding box of the object.This method is simpler and faster than that utilizes the common mass-spring model which connects the mass points and springs on the object itself,and it is easier to achieve the global deformation.The mass movement meets Lagrange＇dynamics equation.This paper adopts a differential equation to express the movement of particles,and uses numerical solution of the system of real time computation,which increases efficiency.At the same time this paper applies a simple soft-objects collision approach on mass-spring model.The experiment shows that the method is simple and effective.