一种空间变形方法的研究

The Study on a Space Deformation Method

空间变形技术在物体的处理或模仿物体的行为方面是个强有力的工具。文中所介绍的是一种用新的方法去变形物体，使其体积保持不变。通过对空间变形模型的定义和变形过程中体积变化计算的分析，提出了一个“可视化准则”把变形物体体积不变问题表示为一数学问题，最后给出对该问题求解的迭代方法。

Space deformation techniques are useful in manipulating objects or simulating the behavior of an object. This paper introduces a new method to deform an object,whose volume is conserved across the change. By the definition of space deformation model and the analysis of calculation of the volume variation throughout deformation, the author proposes a “visual criterion” and translate the problem of volume conservation of deformed objects into a mathematical problem. At last an iterative method of solving the problem is given.