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自然图形二阶Voronoi图生成的地图代数方法 被引量:1

Map algebra for the generation of two-order Voronoi diagram of natural diagram
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摘要 分析了2阶V图生成原理.基于欧氏空间中离散点集的2阶V图距离变换原理,论述了栅格形式下离散点集和一般点集图形的2阶V图生成的方法,确定了它的时间复杂性为O((2+k)n),适用于欧氏及非欧度量空间的自然图形2阶V图构造.构建了简洁、实用的算法和实验模块,并给出若干算例图. The principle of generating two-order Voronoi diagram was studied. A method for generating raster-based two-oder voronoi diagram was proposed from discrete points and generic point sets. This method bases on distance transformation in Euclidean metric with the computational complexity of O((2+k)n), and is the same with non-Euclidean metric space. The simple and convenient arithmetic are given, such as the result diagrams.
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2006年第8期107-109,共3页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(40571124)
关键词 2阶Voronoi图 地图代数 距离变换 栅格 全形态图形 two-order Voronoi diagram map algebra distance transformation raster arbitrary diagram
作者简介 胡海(1977-),男,博士研究生;武汉,武汉大学测绘学院(430079).E-mail:hhawk@tom.com
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