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arXiv · 1211.3812

Determining the Number of Holes of a 2D Digital Component is Easy

Li M. Chen
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Abstract

The number of holes in a connected component in 2D images is a basic invariant. In this note, a simple formula was proven using our previous results in digital topology (Chen 2004, Chen and Rong (2010). The new is: $h =1+ (|C_4|-|C_2|)/4$, where h is the number of holes, and $C_i$ indicate the set of corner points having $i$ direct adjacent points in the component.

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Li M. Chen. 2012-11-16. Determining the Number of Holes of a 2D Digital Component is Easy. https://arxiv.org/abs/1211.3812

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