GIS的非线性测量数据的误差处理及其应用.pdf

25 2006 6 Vol.25 Suppl. Journal of Liaoning Technical University Jun. 2006 文章编号 1008-0562(2006)增刊1-0078-03 GIS 的非线性测量数据的误差处理及其应用 1 1,2 2 2 1 徐州师范大学国土信息与测绘工程系 江苏 徐州 221116 2 徐州师范大学计算机科学与技术学院 江苏 徐州 221116 摘 要 针对 GIS 数据应用中所存在的随机误差处理这一重要问题 本文提出了一种非线性最小二乘条件平差方法 给出了顾及泰 勒二阶展开的基于空间数据随机误差的非线性条件平差模型 并结合算例将该方法与线性最小二乘平差方法加以比较 结果表明 当 观测值与其平差值相近时 应用非线性最小二乘条件平差可明显提高平差结果的精度 这对于解决数字化处理过程中 因源文件中图 形间的相互作用而引入大量误差 从而导致不能将非线性条件方程直接线性化问题提供了一种新的方法 关键词 GIS 数据误差处理 非线性 最小二乘平差 中误差 中图分类号 P 208 文献标识码 A Application of processing error of nonlinear surveying and mapping data based on GIS FENG Zun-de1 NING Wei1,2 ZHANG Yong-chang2 FAN Yong2 (1.Department of Territory Resource Information and Surveying Engineering, Xuzhou Normal University, Xuzhou 221116,China;2. College of Computer Science and Technology, Xuzhou Normal University, Xuzhou 221116,China) Abstract In view of the important problem of the random errors of GIS data processing, nonlinear least square is put forward and the model of nonlinear least square based on space data random errors from 2 order thaler is introduced. From some examples ,when observations and adjusted data are near, the precision is more higher using nonlinear least square than using linear least square .The errors from the pictures interactions of the original files in the course of digital processing will bring a problem that nonlinear equations is not linearized straight .And a new method will be introduced to solve this problem in this paper. Key words error processing for GIS data nonlinear least square adjustment mean error 近几年 技术