一种基于多级角度的面实体形状相似度计算方法及应用  

A Calculation Method of Areal Entities Shape Similarity Based on Multi-scale Angle and Its Application

作　　者：刘贺 郭黎[2] 曹瑜娟 袁远 朱闯 LIU He;GUO Li;CAO Yujuan;YUAN Yuan;ZHU Chuang(Xi'an Division of Surveying and Mapping,Xi'an 710054,China;Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]西安测绘总站,陕西西安710054 [2]信息工程大学,河南郑州450001

出　　处：《测绘科学技术学报》2025年第1期88-96,共9页Journal of Geomatics Science and Technology

基　　金：国家科技部基础资源调查专项(2019FY202501)。

摘　　要：形状是面实体几何匹配的常用特征之一。已有的面实体形状相似度计算方法存在形状描述能力不强、鲁棒性差、计算过程复杂等问题,为此提出了一种基于多级角度的面实体形状相似度计算方法。首先,对面实体轮廓进行等距重采样,以每个轮廓点为中心采取3步策略对轮廓进行多级划分,基于多级角度值实现对形状特征由局部到整体的多级描述;其次,借助离散傅里叶变换消除面实体旋转对计算结果的影响;最后,基于方向、位置、面积和形状构建面实体综合相似度模型。实验表明,所提出的形状相似度计算方法不受实体旋转、缩放、平移的影响,具有较高的运算效率和较强的形状描述能力。将面实体综合相似度模型应用到青藏高原湖泊数据几何匹配上,取得了较好的匹配结果。Shape is one of the common features of areal entities geometric matching.There are still the problems of weak shape description ability,poor robustness and complex calculation process in the existing shape similarity calculation methods of areal entities.For this reason,an areal entities shape similarity calculation method based on multi-scale angle is proposed in this paper.Firstly,the contour of the areal entity is resampled at equal intervals.And then taking each contour point as the center,a three-step strategy is adopted to divide the contour into multiple scales,and the areal entities contour is described from local to overall by using the angle under different scales.Secondly,the influence of solid rotation on the calculation results is eliminated by means of discrete Fourier transform.Finally,a comprehensive similarity model of areal entities is constructed based on direction,position,area and shape.Experiments show that the proposed shape similarity calculation method is not affected by entity rotation,scaling and translation,and has higher computational efficiency and stronger shape description ability.The areal entities comprehensive similarity model is applied to the geometric matching of the lakes data on the Tibetan Plateau,whose results indicate this model has good performance.

关 键 词：多级角度 离散傅里叶变换 形状相似度 面实体 综合相似度 几何匹配 

分 类 号：P208[天文地球—地图制图学与地理信息工程]