光顺过渡面的热传导方程-能量优化构造方法

首先运用热传导方程、初值条件和带有固定边界的边值条件,建立过渡面的偏微分方程模型.再对方程像空间中的曲面簇,采用关于时间t的曲面能量表达式作为曲面光顺准则,建立起满足热传导方程的光顺过渡面的优化构造模型,即带有固定边界的光顺过渡面的热传导方程-能量优化构造模型,此模型的解即为满足连续性和光顺性要求的过渡面.数值实验表明这种光顺过渡面的构造方法是可行与有效的.

THE CONSTRUCTING METHOD OF FAIRING BLENDING SURFACES BY HEAT EQUATION AND ENERGY OPTIMIZATION

In this paper, Heat equation and the fairing energy are used in constructing blending surfaces. With initial condition and fixed boundary condition, the Heat equation can be established and resolved. Then the fairing energy of surfaces in the image space of the equation about t is acquired, the function of fairing energy about t is regarded as the fair-ing ruler. Through computing, the point of the minimal value can be get, such that the blending surfaces which satisfy the demand of continuation and fairing can be achieved. The experimental results show that the model is effective and feasible.