基于Coons曲面的似大地水准面精化算法研究

针对线状或带状GPS水准点控制的似大地水准面，提出Coons曲面内插模型。先将GPS水准点拟合成曲线，再通过曲线构造曲面，尽可能减少传统拟合算法由点直接推面的精度消耗。分别运用最小二乘法、最小二乘配置法、移动内插法和Coons曲面法对线状GPS水准点控制的似大地水准面进行拟合，结果表明，基于Coons曲面的内插模型算法精度最高。

Quasi-Geoid Refinement Algorithm Based on Coons Surface

Aimed at solving the problem of quasi-geoid controlled by linear or strip of GPS-leveling points, Coons surface interpolation model is put forward. The first step is to synthesize GPS-leveling points fitting curve, and then the curve is used to construct the surface, as far as possible to reduce the traditional fitting method by point directly on the accuracy of consumption. Respectively, using the least squares method, least square collocation method, moving interpolation and Coons surface method to fit quasi-geoid controlled by linear or strip of GPS-leveling points, the result showed that the interpolation model based on Coons surface algorithm accuracy is the highest.