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math.GN2013★ 5 cited
A Note on the Discrete Jordan Curve Theorem (Revised)
Li Chen
According to a general definition of discrete curves, surfaces, and manifolds. This paper focuses on the Jordan curve theorem in 2D discrete spaces. The Jordan curve theorem says t…
cs.CG2013
Algorithms for Computing Topological Invariants in 2D and 3D Digital Spaces
Li Chen
Based on previous results of digital topology, this paper focuses on algorithms of topological invariants of objects in 2D and 3D Digital Spaces. We specifically interest in solvin…