Topological Classification of points in $Z^2$ by using Topological Numbers for $2$D discrete binary images
This work addresses a domain-specific problem in image processing and computer vision, offering an incremental contribution to topological analysis methods.
The paper tackles the problem of classifying points in 2D discrete binary images based on topological numbers, resulting in six defined classes such as isolated and curve points, with specific counts provided for each class.
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.