| 地图数字化中基于点位坐标的统一平差模型 |
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| 引用本文： | 童小华,杜道生.地图数字化中基于点位坐标的统一平差模型[J].武汉大学学报(信息科学版),2006,31(3):194-198. |
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| 作者姓名： | 童小华 杜道生 |
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| 作者单位： | 1. 同济大学测量与国土信息工程系,上海市四平路1239号,200092;武汉大学测绘遥感信息工程国家重点实验室,武汉市珞喻路129号,430079
2. 武汉大学测绘遥感信息工程国家重点实验室,武汉市珞喻路129号,430079 |
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| 基金项目： | 中国科学院资助项目;国家测绘科技发展基金 |
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| 摘 要： | 探讨了地图数字化过程中采用平差方法来建立坐标计算的统一模型。将测得的角度、边长等数据化为方向、距离观测值列立误差方程，通过调用统一的平差迭代计算程序来计算未知点坐标及精度。详细给出了基于平差的11种常用坐标计算方法，并通过实例进行了说明。
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| 关 键 词： | 坐标计算 最小二乘 平差模型 |
| 文章编号： | 1671-8860(2006)03-0194-05 |
| 修稿时间： | 2005年12月31 |
A Universal Coordinate Computation Model Based on Least Squares Adjustment Method |
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| TONG Xiaohua,DU Daosheng.A Universal Coordinate Computation Model Based on Least Squares Adjustment Method[J].Geomatics and Information Science of Wuhan University,2006,31(3):194-198. |
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| Authors: | TONG Xiaohua DU Daosheng |
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| Abstract: | This paper presents a universal model for calculating point coordinates based on least squares adjustment method.The measured angles and distances are first converted into the direction and distance observations, then the error equations are constructed and the unknown coordinate parameters and accuracy are derived from a universal iterative adjustment computation.The proposed model has the characteristics of high accuracy and generic algorithm.Using Levenberg-Marquardt least squares iterative adjustment,initial values of unknown points are given graphically according to the geometric relationship among the measured objects,and the results are obtained robustly.The often-used total eleven coordinate calculation methods are derived on the basis of the proposed model in detail,and the implementation of the model is illustrated through a case study. |
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| Keywords: | coordinate computation least squares adjustment model |
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