摘要
针对大旋转角三维坐标转换中需要给定转换七参数初始值以便于平差迭代求解的问题,本文提出两种概算的简化模型,即基线模型和联合模型。两模型中均对旋转矩阵做简化处理,忽略其正交矩阵的特性,从而将严密的非线性平差模型转化为线性平差模型。该方法计算中无须迭代,简单易行,使用MATLAB模拟数据验证结果表明,该方法不仅可用于求解七参数的初始值,而且在100 m3范围内,当转换点三轴误差均小于5 mm时,两种模型都可满足转换误差小于2 mm的要求。
In order to decide conversional seven -parameter value to solve the adjustment iteration calculation in three dimensional co -ordinateconversion of large rotation angles , two simplified models , namely baseline model and combined model , are proposed .These two models simplify the processing procedures of rotation matrix to transform rigid non -linear adjustment model to linear adjustment . Iteration is not required in this method and the simulated data by using MATLAB shows that this method can be employed to calculate the initial value of seven parameter computation and both two models are able to satisfy the needs that conversion error is less than 2mm when three-axis error of turning points is less than 5 mm.
出处
《测绘与空间地理信息》
2014年第4期78-82,共5页
Geomatics & Spatial Information Technology
基金
2013年国家测绘科技与国际合作计划项目(测科函[2013]31号)资助
关键词
七参数
初始值
基线模型
联合模型
seven parameters
initial value
baseline model
combined model
