计算机科学 ›› 2007, Vol. 34 ›› Issue (9): 224-226.

• 软件工程与数据库技术 • 上一篇    下一篇

平面有界闭区域图形的拓扑分类识别

倪劲松   

  1. 苏州大学数学科学学院,苏州215006
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本课题获得国家自然科学基金(10571129)资助.

NI Jin-Song (School of Mathematics Science, Soochow University, Suzhou 215006)   

  • Online:2018-11-16 Published:2018-11-16

摘要: 本文首先将具有简单封闭曲线特征的闭主曲线学习算法应用于平面有界闭区域图形的边界提取,给出相应的算法。结合拓扑度理论,本文还定义了有界闭区域的边界关联矩阵,引入了平面中图像的F-同胚概念,运用边界关联矩阵是F-同胚下的完全不变量原理,将F-同胚和边界关联矩阵概念有机结合起来,对平面有界区域图形进行拓扑粗分类,以达到缩小搜索范围、提高搜索速度的目的。最后,本文给出了平面有界闭区域图形的计算机拓扑识别的算法及其实现。

关键词: 闭主曲线 有界闭区域 边界关联矩阵 F-同胚

Abstract: By applying closed principal curve learning algorithm, we can obtain a simple polydragon as an approach for every simple closed curve in plane. So we can extract the boundary of every connect closed domain D in plane by simple polydragons. Thus we only ne

Key words: Closed principle curves, Bounded closed domain,Conjunction matrix, F-homeomorphism

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!