半参数模型在平面坐标转换中的应用  

The Application of Semiparametric Model in the Plane Coordinate Transformation

作　　者：赵富燕 孙李城 杨兆臣[1] 

机构地区：[1]山东科技大学测绘科学与工程学院,山东青岛266590

出　　处：《全球定位系统》2015年第3期46-50,共5页Gnss World of China

摘　　要：坐标转换在测绘领域一直起着至关重要的作用,而模型的选取又直接制约着转换的精度,通常在坐标转换中采用相似变换(Hermert)的方法,在平面坐标转换过程中一般采用4参数模型。然而当系统误差不可忽略时,该模型处理得到的结果并不理想。本文将半参数模型应用到平面坐标转换中,分别采用4参数模型和半参数模型两种方法对实验数据进行了处理,并进行了对比与分析。实验结果表明:在处理带有系统误差的平面坐标数据时,半参数模型比传统的参数模型更加精确。Coordinate transformation has been playing an essential role in surveying and mapping field,and the selection of model restrict the precision of the transformation directly,generally what we use in the coordinate transformation is similarity transformation（Hermert transformation）method,among them the four parameters model is commonly used in the plane coordinate transformation.when the system error cannot be ignored,however,the result the model get is not ideal.This paper applys a new model,namely the semiparametric model to the plane coordinate transformation,both the parameter model and semiparametric model were used in experimental data processing,as well as comparison and analysis.Experiment result show that Semiparametric model is more accurate and effective than traditional parameter model in dealing with data that cntains system error in plain coordinate transformation.

关 键 词：半参数模型 补偿最小二乘 正则矩阵R 平滑因子α 平面坐标转换 

分 类 号：P228.4[天文地球—大地测量学与测量工程]