Digital Jordan Curve Theorems

The importance of digital geometry in image processing is well documented. To understand global properties of digital spaces and manifolds we need a solid understanding of local properties. We shall study the join operator, which combines two topological spaces into a new space. Under the natural assumption of local niteness, we show that spaces can be uniquely decomposed as a join of indecomposable spaces.

• Type: Conference
• Year: 2000
• Where: DGCI
• Authors: Christer O. Kiselman
• Keywords: DGCI 2000, Digital Spaces, Discrete Geometry, Indecomposable Spaces, Topological Spaces