GIS空间数据质量控制的抗差拟合推估法  

Robust Collocation Method with Application in Quality Control of GIS Spatial Data

作　　者：张菊清[1] 杨元喜[2] 张亮[1] 邓润叶[3] 

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710054 [2]西安测绘研究所,陕西西安710054 [3]西北电力职工培训中心,陕西西安710054

出　　处：《测绘科学技术学报》2008年第3期179-182,共4页Journal of Geomatics Science and Technology

基　　金：国家自然科学基金项目(40672173);长安大学校基金项目(0305-1001)

摘　　要：拟合推估法可用于拟合系统误差,削弱随机误差的影响,提高空间数据质量。与正常拟合推估法不同,提出了一种抗差拟合推估法以控制GIS空间数据的系统误差和异常误差的影响。在此基础上,提出了对剩余残差再拟合的思想,从而对拟合推估剩余系统误差进行控制。利用该方法,一方面可以有效地抵制系统误差的影响,另一方面又可以较好地遏制异常误差的污染。此外,对因协方差函数误差导致的信号估计偏差,也具有一定的补偿能力。最后通过实际计算与分析验证了该方法的有效性。Collocation method is a helpful tool to fit the systematic errors and weaken the effects of the stochastic errors. A robust collocation method which was different from the standard collocation was introduced in this paper. It could control the influence of systematic errors and outliers of spatial datum in GIS. Furthermore, the idea of re-fitting for residual, in employed in order to compensate the remained systematic errors, was also given. This method could not only resist the influence of systematic errors, but also reduce the effects of outliers. In addition, it could reduce some estimated signal bias caused by inaccuracy covariance function. An actual calculation and corresponding analysis showed that the proposed method was effective in improving the quality of digital maps.

关 键 词：系统误差 异常误差 信号 协方差函数 空间数据质量 再拟合 

分 类 号：P208[天文地球—地图制图学与地理信息工程]