一种面向同名线要素的距离度量方法

发布时间：2018-10-25 09:32

【摘要】：针对已有距离度量方法在表达同名线要素空间位置差异准确性方面的不足,提出了一种面向同名线要素的距离度量方法。该方法结合Hausdorff距离和Fréchet距离的特点,首先分别将同名线要素上每个顶点在对应线上的对应点内插到对应线上,利用一阶差分的方法剔除其中的粗差点,并采用中位点进行了修正,然后依序计算每个点与对应线上点的最小欧氏距离,最后取其平均值作为最终的距离值。为了验证本方法的有效性,提出了衡量距离度量方法稳定性的平均振幅(F)和准确性的准确率(R)两个评价指标。通过与欧氏距离、Hausdorff距离和Fréchet距离实验结果的对比分析,表明本方法的距离度量结果比较符合人类的认知特点,具有一定的实用性。
[Abstract]:In view of the shortcomings of the existing distance measurement methods in expressing the spatial difference of the line elements of the same name, a distance measurement method for the line elements of the same name is proposed. Combining the characteristics of Hausdorff distance and Fr 茅 chet distance, the method firstly interpolates the corresponding points of each vertex on the corresponding line to the corresponding line, and uses the first-order difference method to eliminate the rough handicap. The minimum Euclidean distance between each point and the point on the corresponding line is calculated in order, and the average value is taken as the final distance value. In order to verify the effectiveness of this method, two evaluation indexes, average amplitude (F) and accuracy (R), are proposed to measure the stability of the distance measure method. By comparing with the experimental results of Euclidean distance, Hausdorff distance and Fr 茅 chet distance, it is shown that the distance measurement results of this method are in accordance with the cognitive characteristics of human beings and have some practicability.
【作者单位】：信息工程大学地理空间信息学院;中国洛阳电子装备试验中心;
【基金】：国家自然科学基金(41101362,41171354,41001313) 信息工程大学地理空间信息学院学位论文创新创优基金(S201408) 国家地理信息工程重点实验室开放研究基金(SKGIE2013-M-4-6)~~
【分类号】：P208

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