三维坐标转换的静态滤波模型
SARC Model of Three-Dimensional Coordinate Transformation
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摘要: 讨论了已有的三维坐标转换模型的优缺点,提出了一种实用性更广、理论上更严密的坐标转换模型———SARC(static-filter adjustment with restricted condition)。把原坐标和目标坐标既可以看成有误差的观测值,也可以看成无误差的约束值。首先推出计算转换参数初值的严密公式,在此基础上进行线性化。用三个点进行首次平差,得到参数的第一次平差值及其方差。随着公共点逐个增加,进行逐次平差。Abstract: In this paper ,The new adjustment model of three-dimensional coordinate transformation-SARC (Step-by-step Adjustment with Restricted Condition-SARC) is presented. There are three main terms in this paper: (① regarding) the original coordinates(the aim coordinates) as observation with errors or true values; ② determining original value of the transformation parameters and linearizing observation equations accurately; ③ calculating the most probable values and variance of the transformation parameters by SARC model.