摘要
本文研究了Beta样条自由曲线和曲面的一些特性,依据微分几何的等距映射理论,结合曲面近似展开原理,解决了Beta样条曲面图案映射中存在的一些问题。
In this paper, firstly, we have studied the characters of a Beta-spline curve and surface, and then, based on the equidistance correspondence theory in differential geometry and the approximate development principl, we have solved the problems whieh exist when planar texturepattrn is mapped onto Beta-spline curved surfaces.