Bézier曲面面积计算的离散算法

On calculating Bézier surface area

Bézier曲面是用于几何造型的最重要的也是最基本的工具之一,研究B啨zier曲面面积在工程中具有较高的价值.对于B啨zier曲面的面积求解,传统采用的是数值积分算法,但此算法较复杂,不易实现.利用B啨zier曲面的易离散特性,提出了一种新的求解B啨zier曲面面积的方法,实现了B啨zier曲面面积的离散求解.

Bézier surface is one of the most important and essential tools applied to geometry modeling.It is valuable to study the area of Bézier surface.The traditional method of computing Bézier surface area is numerical value integral,but the arithmetic is too complex to implement.A new method is proposed according to the subdivision of Bézier surface and is implemented.