七参数坐标转换模型的适用性分析  

Applicability analysis of seven-parameter coordinate transformation model

作　　者：孙小荣[1,2,3] 张书毕[2,3] 徐爱功[4] 赵吉先[1] 

机构地区：[1]宿迁学院建筑工程系,江苏宿迁223800 [2]中国矿业大学国土环境与灾害监测国家测绘局重点实验室,江苏徐州221116 [3]中国矿业大学环境与测绘学院,江苏徐州221116 [4]辽宁工程技术大学测绘与地理科学学院,辽宁阜新123000

出　　处：《测绘科学》2012年第6期37-39,共3页Science of Surveying and Mapping

基　　金：宿迁学院科研基金项目(KY0815);国土环境与灾害监测国家测绘局重点实验室开放基金项目(LEDM2010C01);江苏省高校自然科学研究项目(11KJD420002);宿迁市科技计划项目(B2010013)

摘　　要：本文阐述了Bursa和Molodensky七参数坐标转换模型。对七参数转换模型中平移、旋转及尺度变化参数之间的相关性进行了分析,也研究了当已知点坐标发生微小变化时,对转换参数稳定性的影响。从理论上证明了在小范围内Molodensky模型参数之间是不相关的,已知点坐标的微小变化对Bursa模型参数的影响较大,而对Molodensky模型参数的影响较小,Molodensky模型比Bursa模型稳定;验证了两个模型结果的等价性,对于小区域,更适合使用Molodensky模型。The seven-parameter transformation model of Bursa and Molodensky was illustrated in the paper. The correlations among parameters of shift, rotation angles, and scale in seven-parameter transformation model were analyzed. And this paper also researched the influence of transformation parameters when the known coordinates change slightly. The low correlations among the seven- parameters were testified when the transformation model was applied to a small region, the small change of known coordinates had a large effect on transformation parameters, but it was small for Molodensky model, the Molodensky model was more stable than Bursa model. The equivalence of the two seven-parameter models in a small region was also testified. Finally it was found that Molodensky model would be more applicable especially in a small region.

关 键 词：BURSA模型 Molodensky模型 参数相关性 适用性分析 

分 类 号：P228.4[天文地球—大地测量学与测量工程]