An explicit formula for the number of tunnels in digital objects

Details An explicit formula for the number of tunnels in digital objects An explicit formula for the number of tunnels in digital objects

2005-05-31

arxiv.org/abs/cs/0505084v2

Computer Science

Discrete Mathematics

9 pages, 4 figures

Scientific paper

An important concept in digital geometry for computer imagery is that of
tunnel. In this paper we obtain a formula for the number of tunnels as a
function of the number of the object vertices, pixels, holes, connected
components, and 2x2 grid squares. It can be used to test for tunnel-freedom a
digital object, in particular a digital curve.

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