As a result of the require of CAGD in airplane, automobile shipping andelectrical appliance etc, fairing of curves and surfaces has become the hot subject in all over the world.

• 随着在飞机、汽车、船舶以及家用电器等的计算机辅助几何设计(CAGD)中人们对产品外形光顺性要求的提高，曲线曲面的光顺性(fairness)研究现已成为了国内外研究的热点。