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图形的形态变换和地图代数凸壳算法 被引量:6

Morpha Transformation and Universal Convex Hull Algorithm
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摘要 讨论并定义了若干关于形态的基本概念,给出了加壳、蜕皮、粘连变换的定义及其实现途径,论证了加壳、蜕皮变换及粘连变换的若干形态特性。联系凸壳概念,论述了运用形态变换实现图形凸壳的原理,并给出了它的通用算法。结合实际算例,阐述了算法的具体步骤和分析结果,并讨论了算法实施中的几个具体理论问题。 In this paper, some basic conceptions about morphology were discussed and defined. Definitions and implementing ways of adding-hull-transformation, removing-skintransformation and conglutination-transformation were presented; morphological features of adding-hull and removing-skin transformation, i. e. shape-alike, convex and concave fea- tures, and measurement features of bulge were argued; and morphological features of conglutination-transformation were demonstrated. Based on these, combining with the concept of convex-hull, we dissertated the principles to achieve the convex-hull of figure with morphological-transformation, and came up with the universal algorithm for it with a sample. Lastly we expatiated the steps and the algorithms in detail, discussed some theoretical issues in the implementation.
出处 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2005年第11期1003-1007,共5页 Geomatics and Information Science of Wuhan University
基金 国家自然科学基金资助项目(40471107 40571124)
关键词 形态变换 凸壳 加壳变换 蜕皮变换 粘连变换 曲径宽度 地图代数 morphological-transformation convex hull addiing-hull-transformation removing-skin-transformation conglutination-transformation width of a concave map algebras
作者简介 胡鹏,教授,博士生导师。现主要从事GIS理论和方法、地图代数、新型3S集成软件工具、地理信息工程等研究。E-mail:phu@wtusm.edu.cn
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  • 1Xu J, Richard G L J. Improving Simulation Accuracy of Spread Phenomena in a Raster-based Geographic Information Syslem. INT. J. Geographical Information Science. 1995,9(2) : 153-168.
  • 2Li C, Chen J, Li Z. A Raster-based Method for Computing Voronoi Diagrams of Spatial Objects Using Dynamic Distance Transformation. INT. J. Geographical Information Science, 1999,13(3): 209 - 225.

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