GIS空间数据几何变换的不确定性传播  

The propagation of geometric transformation uncertainty for spatial data in GIS

作　　者：周万春[1] 罗亦泳[2,3] 

机构地区：[1]重庆市合川区国土资源和房屋勘测队,重庆合川401520 [2]东华理工大学放射性地质与勘探技术国防重点学科实验室,南昌330013 [3]江西省数字国土重点实验室,南昌330013

出　　处：《测绘科学》2015年第6期46-50,共5页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41374007);江西省数字国土重点实验室开放基金项目(DLLJ201411);放射性地质与勘探技术国防重点学科实验室开放基金项目(2010RGET13);浙江省自然科学基金项目(Y1090671)

摘　　要：针对点位误差、线元在对称、旋转变换过程中不确定性的传播规律,该文采用误差椭圆和εm模型描述GIS空间数据对象模型中最常用的点、线元素的误差域,讨论几何变换(如对称、旋转变换)过程中不确定性的积累和传播规律,结合区间算法给出了变换后误差域模型。基于区间运算的INTLAB模拟结果验证了该模型的有效性和实用性。研究结果对进一步探讨其他几何变换过程中不确定性的积累传播规律具有一定参考。In view of the propagation rule of uncertainty produced in symmetry and rotation transformation process of end points accuracy and line segments, the uncertainty accumulation and propagation of basic element such as point and line which defined by error ellipse andmodel in object model of GIS spatial data were analyzed in the processing of geometric transform such as symmetry and rotation. Based on interval algorithm, the algorithmic model verified by INTLAB simulation experiment showed that this model had better prediction effect and realization. The research results could provide reference for discussions on uncertainty accumulation and propagation of other geometric transforms.

关 键 词：误差域 几何变换 误差传播 区间运算 

分 类 号：P208[天文地球—地图制图学与地理信息工程]