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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。

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 circu...