Topological Classification of points in Z² by using Topological Numbers for 2D discrete binary images

2025/01/08 by Christophe Lohou, Lohou, Christophe
Computer Science · #Digital Image Processing Techniques #Image Retrieval and Classification Techniques #Medical Image Segmentation Techniques

paper · pdf · doi:10.48550/arxiv.2501.04878

Abstract

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.

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