跨尺度变换中线要素图形相似性的度量方法  

Method for measuring shape similarity of linear feature on cross-scale transformation

作　　者：操震洲[1,2] 李满春[2] 徐敬海[1] 

机构地区：[1]南京工业大学测绘学院,南京210009 [2]南京大学地理与海洋科学学院,南京210093

出　　处：《测绘科学》2013年第6期131-132,159,共3页Science of Surveying and Mapping

基　　金：国家自然科学基金资助项目(40901272)

摘　　要：图形相似度是评价同一实体在不同尺度下图形差异的主要依据,目前的研究侧重于图形整体相似性的度量,而对图形各局部的相似精度研究较少。本文提出的线图形相似性的度量方法考虑了整体图形相似度和相似精度两个方面。该方法首先将曲线等分为若干个曲线段,综合考虑曲线段在横向与纵向上的变形求出各曲线段的相似度,然后根据此组相似度值计算曲线整体相似度与相似中误差,以该指标来评估相似性。最后通过实验验证了该方法的有效性。Shape similarity is the main basis to assess shape differences for the same entity at different scales. The current studies focus on the measuring of overall shape similarity, but less on the similar precision of various parts of the shape. The method for meas- uring shape similarity of linear feature proposed in this paper took into account two aspects of the overall shape similarity and similar precision. Firstly, curve was divided into a number of segments and a set of similarity values of these segments were calculated by con- sidering vertical and horizontal deformation of each segment, and then the overall similarity and similarity standard deviation used as measure factors of shape similarity were computed by these similarity values of segments. Finally, the method was used in experiment and verified its effectiveness.

关 键 词：相似性 形状相似度 多尺度 线化简 

分 类 号：P28[天文地球—地图制图学与地理信息工程]