用MLS多面函数拟合法求解高程异常

摘要

While obtaining the high-accuracy height-anomaly, multi-quadric function interpolation in terms of theory is not bad accuracy to approach the arbitrarily complicated curved surface arbitrarily, but the core-function and smoothing factor, the choice of weight will exceedingly affect the fitting impression. By adjusting rationally the weight function with the multi-quadric function interpolation of MLS, established on the different model of multi-quadric function interpolation to the different point of certainty, effectively improved the fitting accuracy of height-anomaly.%在求解高精度的高程异常时,多面函数在理论上可以以任意精度逼近任意复杂曲面,但其核函数与平滑因子的选取,以及定权的方式都会对拟合效果产生很大影响,而移动最小二乘(MLS)多面函数法通过对权函数合理的调整,使不同的待定点建立不同的多面函数模型,有效提高高程异常的拟合逼近精度.