GIS中圆曲线的不确定性模型

Uncertainty Model of Circular Curve Features in GIS

本文应用圆曲线上任意点坐标的协方差来描述圆曲线的不确定性，推证了一种坐标加权平均值的协方差公式，给出了以圆曲线法线方向的中误差表示误差带宽的εσ模型，同时还导出了以最大方向误差表示带宽的εｍ 模型。通过实例计算和可视化表达对该模型进行了验证，说明了该模型是一种实用且理论严密的圆曲线不确定性模型。

This paper presents an uncertainty model for describing circular curve features with the variance covariance of an arbitrary point on the curve.The weighted average covariance formula of any point is deduced. The model, which is represented by root mean square in circular curve normal direction, is developed. And the model, which is represented by error in the maximum direction is defined. With a case study and visualization, it is proved that this model is theoretically rigorous for describing error of circular curve lines.