| 矢量GIS平面一般曲线等概率密度误差模型的几何特征 |
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| 引用本文： | 汤仲安.矢量GIS平面一般曲线等概率密度误差模型的几何特征[J].测绘学报,2007,36(1):91-95. |
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| 作者姓名： | 汤仲安 |
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| 作者单位： | 中南大学,信息物理工程学院,湖南,长沙,410083;湖南省国土资源信息中心,湖南,长沙,410011 |
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| 基金项目： | 中南大学博士后科研基金项目(2006)，国土资源部百名优秀青年科技人才计划项目(2005) |
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| 摘 要： | 基于等概率密度误差模型建模原理和数值算法,运用函数极值理论和迭代方法来求解平面一般曲线上两相邻特征点间位置精度最高的点,以精确确定误差模型的最小带宽,从理论上给出等概率密度误差模型的几何特征,从而进一步完善矢量GIS的位置不确定性理论。通过实例计算与可视化分析,验证了理论推导的正确性。
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| 关 键 词： | 地理信息系统 一般曲线 误差模型 几何特征 |
| 文章编号： | 1001-1595（2007）01-0091-05 |
| 修稿时间： | 2006-04-242006-09-08 |
Geometrical Characteristic for The Equivalent Probability Density Error Model of 2D Generic Curve in Vector GIS |
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| TANG Zhon-gan.Geometrical Characteristic for The Equivalent Probability Density Error Model of 2D Generic Curve in Vector GIS[J].Acta Geodaetica et Cartographica Sinica,2007,36(1):91-95. |
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| Authors: | TANG Zhon-gan |
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| Abstract: | Based on the modeling theory of the equivalent probability density error model(marked as "Tepdem") and the numerical algorithm,this paper provides an approach on how to ascertain a point location with the highest coordinates precision between both of the adjacent characteristic points on a generic curve accurately by use of the theory of function extremum as well as the iterative algorithm,and it also provides the method on how to obtain the least width of "Tepdem" exactly,from which,the explanation of geometrical characteristic on "Tepdem" has been brought forward theoretically.Accordingly,the positional uncertainty theory for vector GIS will be more consummate.Test validates the correctness on theoretical deduction by case study and visualization analysis. |
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| Keywords: | GIS generic curve error model geometrical characteristic |
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