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中文摘要：
近30年来整体最小二乘法（TLS）被广泛应用于通信、大地测量与摄影测量以及图像处理等领域,成为测量数据处理的新方法。本文根据整体最小二乘法的基本思想,分析了基于奇异值分解与拉格朗日逼近的解算方法,总结归纳了加权整体最小二乘、混合整体最小二乘、带有约束的整体最小二乘以及病态情形下的整体最小二乘解算方法,综述了整体最小二乘在测绘领域的应用,补充了测量数据处理理论研究。
英文摘要：
In recent 30 years, the total least squares （TLS） method, a new method for surveying data processing, has been widely applied in telecommunications, geodesy, photogrammetry and image processing. According to the basic theory of TLS, the solutions based on the singular value decomposition and the Lagrange approach were analyzed. Methods to solve the weigbted TLS, mixed TLS, the TLS with constraints, and the ill posed TLS were summa- rized. Finally, the applications of TLS in surveying were expounded in detail, and the survey data processing theory was complemented.
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