河流要素比例尺变化与中位数Hausdorff距离的关系

doi:10.11947/j.AGCS.2023.20210573

摘要/Abstract

摘要： 地图综合本质上是一种相似变换过程,针对该变换过程的定量化分析具有重要实践意义。本文通过大批量样本统计的方式,获得了河流要素比例尺变化与中位数Hausdorff距离之间的普适函数规律。首先,在1∶1万矢量河流数据库中随机选择河流样本,并经由制图员手工化简构建多尺度河流要素数据集。然后,采用中位数Hausdorff距离测度河流要素的多尺度相似性,并探究了中位数Hausdorff距离随比例尺变化的定量函数关系。最后,给出了将上述函数关系应用于地图综合过程控制的初步探索,实现了BS 算法、DP算法及WA (weighted-area)算法的阈值自动确定。试验结果表明,本文所提出的函数关系具有较强的普适性,可以较好地指导已有半自动综合算法的全自动化。

关键词: 河流要素, 中位数Hausdorff距离, 比例尺, 相似性, 地图综合

Abstract: Map generalization is essentially a similar transformation process, and the quantitative analysis of this particular process is of great practical significance. In this paper, the universal functional relationship between scale change and median Hausdorff distance of river elements is obtained via large sample statistics. Firstly, randomly selecting river samples from a 1∶10 000 vector river database, and a multi-scale river element dataset is constructed via manual simplification. The median Hausdorff distance is used to measure the multi-scale similarity of river elements, and a quantitative functional relationship between scale change and median Hausdorff distance is presented via curve fitting. Subsequently, a preliminary applicative exploration of applying the functional relationship to the control of the map generalization process is presented, and the automatic determination of thresholds for BS (bend-simplify) algorithm, DP (Douglas-Peucker) algorithm, and WA (weighted-area) algorithm is achieved. Experimental results show the strong useability of the proposed functional relationship, which contribute to the full automation of the existing semi-automatic map generalization algorithms.

Key words: river element, median Hausdorff distance, scale, similarity, map generalization

中图分类号:

P284

张鑫港, 闫浩文. 河流要素比例尺变化与中位数Hausdorff距离的关系[J]. 测绘学报, 2023, 52(8): 1364-1374.

ZHANG Xingang, YAN Haowen. Relationship between scale change and median Hausdorff distance of river elements[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(8): 1364-1374.

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