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平面相似变换之模型可靠性研究
引用本文:汤仲安,王新洲,周儒夫.平面相似变换之模型可靠性研究[J].武汉大学学报(信息科学版),2004,29(5):411-415.
作者姓名:汤仲安  王新洲  周儒夫
作者单位:1. 武汉大学测绘学院,武汉市珞喻路129号,430079
2. 长江委荆江水文水资源勘测局,荆州市沙市区通衢路42号,434002
基金项目:国家 8 63计划资助项目 ( 2 0 0 1AA3 5 0 81)
摘    要:介绍了平面相似变换建模联测点粗差探测因子的确定方法,提出了利用信息扩散估计探测建模联测点粗差的操作方法,研究了利用近似t-检验构建模型可靠性判据的理论和方法,并进行了实例计算与分析。

关 键 词:平面相似变换  最小二乘估计  信息扩散估计  t-检验  测量粗差
文章编号:1671-8860(2004)05-0411-05
修稿时间:2004年2月8日

Model Reliability Research for Plane Similitude Conversion
TANG Zhongan,WANG Xinzhou,ZHOU Rufu.Model Reliability Research for Plane Similitude Conversion[J].Geomatics and Information Science of Wuhan University,2004,29(5):411-415.
Authors:TANG Zhongan  WANG Xinzhou  ZHOU Rufu
Institution:TANG Zhongan 1 WANG Xinzhou 1 ZHOU Rufu 2
Abstract:In order to explore a reliable model, we must eliminate the errors of the modeling surveying points firstly. Because of the brainpower and robustness for parameters exploring, the principle of information diffusion is naturally used for exploring the reliable model. This paper analyzes the probability that some of the factor weights can be determined by the principle of information diffusion, deduces a series of statistics to the scale and angle during the course of the modeling, and brings forward a reasonable method for judging the model reliability of the plane similitude conversion by using the approximate t-test. Lastly, the operation process about the model reliability is analyzed, on the basis of the example of the model optimization which was used for Xiaodongjiang GPS metamorphose monitoring network.
Keywords:plane similitude conversion  least squares estimation  principle of information diffusion  t-test
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