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再论映射相关边概念的多边形内外点判别算法
引用本文:赵京东.再论映射相关边概念的多边形内外点判别算法[J].计算机辅助设计与图形学学报,2007,19(1):69-72.
作者姓名:赵京东
作者单位:曲阜师范大学数学科学学院,曲阜,273165
基金项目:国家自然科学基金 , 山东省火炬计划
摘    要:证明了文献1](张宁宁,张树有,谭建荣.映射相关边概念的多边形内外点判别算法.计算机辅助设计与图形学学报, 2004, 16(7): 935-938)中密切边(定义3)是不正确的.在此基础上重新定义了密切边的概念,改进了文献1]的算法,并增加了检测点在特殊位置时的判定,增强了算法的稳定性和可靠性.

关 键 词:多边形  映射  相关边  密切边
收稿时间:2006-02-28
修稿时间:2006-02-282006-06-19

Further Discussion on Point Inclusion Test of Simple Polygons in Terms of the Nearest Relevant Edge
Zhao Jingdong.Further Discussion on Point Inclusion Test of Simple Polygons in Terms of the Nearest Relevant Edge[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(1):69-72.
Authors:Zhao Jingdong
Affiliation:Department of Mathematics, Qufu Normal University, Qufu 273165
Abstract:This paper first proves the nearest edge(Definition 3) of Reference(Zhang Ningning,Zhang Shuyou,Tan Jianrong.Point inclusion test for simple polygons by the nearest relevant edge.Journal of Computer-Aided Design & Computer Graphics,2004,16(7): 935-938) incorrect.With this understanding,this paper further defines the nearest edge,ameliorates the algorithm and adds verdict for the checking point on the special position.This approach is more stable and reliable.
Keywords:polygon  projection  relevant edge  nearest edge
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