矩阵奇异值分解与“误差理论与测量平差基础”教学内容设计  

Teaching content design of error theory and surveying adjustment based on the singular value decomposition theory

作　　者：刘志平[1,2] 邱欢 罗翔 张书毕 LIU Zhiping;QIU Huan;LUO Xiang;ZHANG Shubi(School of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China;Jiangsu Key Laboratory of Resources and Environmental Information Engineering, China University of Mining and Technology, Xuzhou 221116, China)

机构地区：[1]中国矿业大学环境与测绘学院,江苏徐州221116 [2]江苏省环境资源信息工程重点实验室,江苏徐州221116

出　　处：《测绘工程》2020年第6期72-75,共4页Engineering of Surveying and Mapping

基　　金：江苏省高等教育教改研究项目(2019JSJG260);中国矿业大学教学研究项目(2019YB19);江苏高校品牌专业建设工程(PPZY2015B144)。

摘　　要：总结近年来测绘工程专业核心课程“误差理论与测量平差基础”教学改革的主要成果特点,针对教学内容采用向量与矩阵形式表达,立足于先修通识课程、学科基础课程、专业核心课程、研究生课程的融合教学思想和“两性一度”标准,提出以矩阵奇异值分解对本课程的单位权方差、间接平差模型和坐标精度可视化评定等经典教学内容重新凝练和设计,提升本课程教学质量。This paper briefly reviews the main achievements of the teaching reform on the core course of"Error Theory and Measurement Adjustment"(short for ETMA)in the surveying and mapping engineering major in recent years.It points out that this course content is significantly featured with the application of vector and matrix expression.In view of both the senior-innovative-challenging golden course standard and the integrated teaching thought of course group including the general course,the basic course,the core course and the follow-up postgraduate course,the matrix singular value decomposition theory is used to reestablish and redesign the ETMA teaching content about the variance estimation of unit weight,indirect adjustment modeling and visual accuracy evaluation of coordinate result.

关 键 词：误差理论与测量平差基础 矩阵奇异值分解 单位权方差 间接平差模型 误差椭球 

分 类 号：P207[天文地球—测绘科学与技术]