GIS空间数据面元与线元不确定性的关系

Relationship of Uncertainty Between Polygon Segment and Line Segment for Spatial Data in GIS

通过对线元误差落在一定区域内的概率分析 ,进一步明确了线元误差的概率统计性质 ,对多边形面积精度与面元误差环对面积精度影响这两者关系进行推导和数值计算 ,探讨多边形面积的标准差和面元误差带面积之间的关系 ,通过对多边形各边的线元误差分析 ,进一步描述多边形面积误差的分布状况和概率统计性质。

The mathematic theories for uncertainty model of line segment are summed up to achieve a general conception, and the line error band model εσ is a basic uncertainty model that can depict the line accuracy and quality efficiently while the model of εm and error entropy can be regarded as the supplement of it. The statistical characteristic of the line error is developed deeply by analyzing the probability that the line error falls inside a certain range. Moreover, the theory accordance is achieved in selecting the error buffer for line feature and the error indicator. The relationship between the accuracy of area for a polygon and the error loop for a polygon boundary is deduced and computed.