射电望远镜指向误差的广义延拓插值修正方法

提出了一种新的基于广义延拓插值的射电望远镜指向误差修正模型，在线性修正模型的基础上对观测域进行球面的Delaunay三角剖分，利用高精度的广义延拓插值逼近方法生成不分项的整体分布曲面． 此方法可在分片边界点上满足插值条件，并充分利用分片插值区域的周围结点(包括内点)信息，实现分片最佳拟合． 应用50m天线指向实验数据进行分析，结果表明该模型与线性修正模型相比，指向预测精度提高了30.3％，从而能更有效地提高望远镜的指向精度．

Radio telescope pointing model based on the generalized extended interpolation correction method

A new pointing error correction model of the radio telescope based on generalized extended interpolation is presented.After the linear pointing correction,the surveying region is divided into spherical Delaunay triangulations,and the whole smooth pointing correction surface is produced by using the high-accuracy generalized extended interpolation approximation method.In every Delaunay triangle,the border points of segmentation can meet the interpolation condition,and by using the surrounding information of joint(including the inner joint) sufficiently,the piecewise best-fitting is obtained.Simulation results using experimental pointing data of the 50m radio telescope show that this model improves the pointing forecast precision by 30.3 percent compared with the linear pointing model.