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直线剖分平面算法的实现和应用
引用本文:王钲旋,庞云阶.直线剖分平面算法的实现和应用[J].计算机辅助设计与图形学学报,1994,6(2):101-105.
作者姓名:王钲旋  庞云阶
作者单位:吉林大学计算机科学系
摘    要:本文引入一种称为“区域树”的二叉树结构来表示若干直线由于相交而形成的对平面的剖分,并以之实现了一个“增加构造”方式的直线剖分平面算法。算法可用于解决许多与平面直线图形有关的问题,本文给出了如下应用实例:点定位问题,半平面公共交问题,简单多边形凸分解问题,简单多边形求交问题。

关 键 词:二叉树  区域树  平面剖分  数据结构

THE IMPLEMENTATION AND APPLICATION OF AN ALGORITHM FOR STRAIGHT LINES SUBDIVING PLANES
Wang Zhengxuan,Pang Yunjie.THE IMPLEMENTATION AND APPLICATION OF AN ALGORITHM FOR STRAIGHT LINES SUBDIVING PLANES[J].Journal of Computer-Aided Design & Computer Graphics,1994,6(2):101-105.
Authors:Wang Zhengxuan  Pang Yunjie
Affiliation:Department of Computer Science Jilin University Changchun 130023
Abstract:A data structure of binary tree called " region tree " is introduced and applied to express planar subdivision by straight lines. An algorithm for straight lines subdividing planes is presented and applied to solve several problems , they are: point location in the planar subdivision by straight lines, intersection of half-planes, convex decomposition of a simple polygon, intersection of two simple polygons.
Keywords:region tree  binary tree  planar subdivision  computational geometry    
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