测绘学报 ›› 2013, Vol. 42 ›› Issue (6): 913-0.

• 学术论文 • 上一篇    下一篇

面向居民地匹配骨架线傅里叶变化方法

黄智深1,钱海忠2,郭敏1,刘海龙1,王骁1   

  1. 1. 信息工程大学测绘学院
    2. 信息工程大学
  • 收稿日期:2012-11-02 修回日期:2013-01-19 出版日期:2013-12-20 发布日期:2013-12-27
  • 通讯作者: 钱海忠 E-mail:qianhaizhong2005@163.com
  • 基金资助:

    基于城市骨架线网的同名实体关联关系构建原理与方法;基于制图综合链的自动综合过程控制研究;居民地增量级联更新关键技术研究

Algorithm combined “reducing-dimension” and “Fourier transform” for polygon habitation matching

  1. 1. Information Engineering University, Surveying and Mapping Institute
    2.
  • Received:2012-11-02 Revised:2013-01-19 Online:2013-12-20 Published:2013-12-27

摘要:

大比例尺城市居民地是变化最为活跃的要素之一, 已成为空间数据更新的主要内容。由于面状居民地形态复杂多样,数据量密集,匹配过程复杂,是空间数据匹配中的重点和难点之一,一直以来未得到很好的解决。本文首先采用降维技术,把大比例尺面状居民地转化为能够反映其形态特征的线状骨架线;进一步把骨架线转化为更易于表达其形态特征的几何形态数据,并对其进行插值计算;然后对几何形态数据采用傅立叶变换,获取匹配双方骨架线之间的相关系数;最后,通过相关系数来判断双方骨架线之间是否符合匹配条件,得到匹配结果。通过把2维面状居民地转化为1维骨架线,有效降低了空间数据的复杂性,并可把线要素处理的诸多方法引入进来;把骨架线转化为几何形态数据,并采用傅立叶变换进行形态计算,线要素的几何形态相似性分析得到显著增强,提高了数据匹配的准确率。实验验证了本方法的有效性和科学性。

关键词: 居民地, 降维, 骨架线, 匹配, 傅立叶变换, 相关系数

Abstract:

The large-scale urban city is one of the most active elements, and has become one of the major tasks of spatial data updating. For the complex geometry shape, large amount of data-intensive, spatial data matching of polygon is still one of the most difficult problems to be solved. First, both the original polygon habitations and habitations to be matched were transformed into the main skeleton lines with reducing-dimension technique, and each of the skeleton line must reflect corresponding polygon’s outside characteristics. Second, the skeleton lines were translated into geometry morphological lines which were easier to express skeleton lines’ shape characteristics than skeleton lines themselves by additional interpolation calculation. Third, the correlation coefficient of the original habitation and habitation to be matched was achieved by Fourier transform, with which, the matching relationships of original polygon habitations and habitations to be matched were got. After transforming the two dimensional polygons into one dimensional skeleton lines, the complex of the habitations was reduced greatly on the one hand, and many algorithms for line could be cited on the other hand. After transforming the skeleton lines into morphological lines, and analyzing the shapes of original polygon habitations and habitations to be matched with Fourier transform, the spatial features’ geometry similar was improved greatly, which made great progress to the accuracy of spatial data matching. Examples illustrate the validity and scientificity.

Key words: habitation, reducing-dimension, sketch line, matching, the Fourier transform, the correlation coefficient

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