三角形参数域上BBG格式超限插值的实用推广

Pragmatic Extension of Parametric Blending BBG Form Interpolation on Triangle

就实际应用中出现的被插值曲面函数未知的情况,提出了一种实用便捷的超限插值方法,即在仅已知三角形边界上曲线函数的情况下构造了超限插值算子,使得3条边界曲线函数和相应的3条法向导曲线函数满足角点信息相容条件,进而构造了超限插值曲面。

The purpose of this paper is to describe a new infinite interpolation when the traditional curved surface function defined in the boundary triangle is unknown. The new infinite interpolation is described only known the curve function. Such that the curve functions and the law guide curves satisfied the compatibility condition on the triangle apexes. At last the simulated Boolean sum smooth interpolation is presented.