arXiv:2501.04878cs.CVcs.CG2025-01

基于拓扑数对二维离散二值图像点进行六类分类

Topological Classification of points in $Z^2$ by using Topological Numbers for $2$D discrete binary images

  • 通过拓扑数计算实现点的分类
  • 提出六类点并给出每类配置数量
  • 适合图像处理与拓扑分析研究者

本文提出一种针对二维离散二值图像点的拓扑分类方法。该分类基于拓扑数的计算结果,共划分出六类点:孤立点、内点、简单点、曲线点、三曲线交点、四曲线交点,并给出了各类点的配置数量。

原文摘要 · Abstract (English)

In this paper, we propose a topological classification of points for 2D discrete binary images. This classification is based on the values of the calculus of topological numbers. Six classes of points are proposed: isolated point, interior point, simple point, curve point, point of intersection of 3 curves, point of intersection of 4 curves. The number of configurations of each class is also given.

拓扑分析图像分类二值图像

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。