矢量面状要素几何相似性度量方法探讨  

Discussion on geometrical similarity measurement of vector planar elements

作　　者：陈占龙[1,2] 徐永洋[1] 谢忠[1] 

机构地区：[1]中国地质大学(武汉)信息工程学院,武汉430074 [2]地理信息工程国家重点实验室,西安710054

出　　处：《测绘科学》2016年第5期105-110,共6页Science of Surveying and Mapping

基　　金：国家科技支撑计划项目(2011BAH06B04);地理信息工程国家重点实验室开放基金项目(SKLGIE2013-Z-4-1);测绘遥感信息工程国家重点实验室资助项目(13I02);中央高校基本科研业务费专项项目(CUGL130260);国家自然科学基金项目(41401443)

摘　　要：针对GIS面状要素由于具有旋转、平移、缩放等形状不变特性而导致相似性度量困难的问题,该文提出了完整的几何相似性度量模型:采用基于顶点中间度的轮廓特征点提取方法,能够在较小误差情况下充分表达原始图形,从而提高相似度计算效率;通过傅里叶描述方法对轮廓进行数学表达,截取能表达图形的前n阶因子,利用向量夹角余弦值理论度量归一化傅里叶描述子向量的相似度,顾及了图形的几何变换不变性。实验结果表明,该描述模型可有效地对GIS面状要素的几何相似性进行度量。Aiming at the problem of calculating the similarity of GIS polygons due to the shape invariant properties of rotation,translation,scaling,etc.,the paper proposed an integrated model to calculate the similarity：based on the Vertex Betweenness,the key vertexes of polygon outline were extracted fully expressing the original graphics with small errors and higher calculation efficiency;Fourier descriptors was used to describe the contour polygons,and the model intercepted first n order normalized factors to express the graphics;by the cosine of the normalized descriptor vectors,the similarity of polygons was got considering the geometrical invariability.Experimental result showed that the proposed method could effectively measure the geometric similarity of GIS planar elements.

关 键 词：GIS面状元素 傅里叶描述子 相似性度量 顶点中间度 

分 类 号：P208[天文地球—地图制图学与地理信息工程]