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GIS中3维空间圆曲线的不确定性ε_σ模型

Uncertainty ε_σ Model of Spatial Circular Curve Features in GIS

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【Author】 ZHANG Guo-qin~(1,2),ZHU Chang-qing~(1,3),Zhou Bin~3, LIU Lin-tao~1,LIU Hai-yan~3(1. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China; 2. Institute of Science, Information Engineering University, Zhengzhou 450052, China; 3. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China)

【机构】中国科学院测量与地球物理研究所；信息工程大学测绘学院；信息工程大学测绘学院湖北武汉430077；信息工程大学理学院；河南郑州450052；湖北武汉430077；湖北武汉430077；河南郑州450052；

【摘要】随着GIS向3维领域的不断发展,对3维空间元素的不确定性研究日趋重要。基于不确定性理论及概率统计理论,研究GIS中3维空间圆曲线的不确定性模型。首先建立3维空间圆曲线上任意点坐标的微分关系式,然后得到圆曲线上任意点坐标的方差,进而获得3维空间圆曲线的εσ模型。实际算例表明,3维空间圆曲线误差分布呈现出“两端大,中间小”的趋势。更多还原

【Abstract】 With the development of three-dimension geographical information science, the uncertainty of three-dimension spatial elements has become more and more important. Based on the uncertainty and statistic theory, an uncertainty model for three-dimension circular curve in GIS is developed. Firstly, the differential formula for any point on the three-dimension circular curve is derived. Then, the variance for any point on the three-dimension circular curve is given. Finally, the ε_ model for three-dimension circular curve is obtained. With a case study, it is shown that the error band of three-dimension circular curve is with the shape of "larger extreme points and less middle".更多还原

【关键词】 GIS；空间圆曲线；位置不确定性；误差带；
【Key words】 <Keyword>GIS； spatial circular curve； position uncertainty； error band；

【基金】国家自然科学基金资助项目(40401052,40174006);中国科学院百人计划资助项目(2004)

【文献出处】测绘学报 ,Acta Geodaetica Et Cartographic Sinica , 编辑部邮箱 ,2005年03期

【分类号】P208
【被引频次】7
【下载频次】170

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