7 citations · 25 across the 15 of their papers we have counts for
15 papers
Digital Geometry, a Survey
Li Chen, David Coeurjolly
This paper provides an overview of modern digital geometry and topology through mathematical principles, algorithms, and measurements. It also covers recent developments in the app…
Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (III)
Li Chen
In a recent paper, {\it Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (II)}, we discussed two algorithms for deforming and contracting a simpl…
Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (II)
Li Chen
In an exploration paper, {\it L. Chen, Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (I)}, we designed algorithms for deforming and contractin…
Algorithms for Deforming and Contracting Simply Connected Discrete Closed Manifolds (I)
Li Chen
In this exploration paper, we design algorithms for deforming and contracting a simply connected discrete closed manifold to a discrete sphere. Such a contraction is a kind of shri…
A Discrete Proof of The General Jordan-Schoenflies Theorem
Li Chen, Steven G. Krantz
In the early 1960s, Brown and Mazur proved the general Jordan-Schoenflies theorem. This fundamental theorem states: If we embed an sphere locally flatly in an $…
A Concise Proof of Discrete Jordan Curve Theorem
Li Chen
This paper gives a concise proof of the Jordan curve theorem on discrete surfaces. We also embed the discrete surface in the 2D plane to prove the original version of the Jordan cu…