Digital topology deals with the topological properties of digital images; or, more generally, of discrete arrays in two or more dimensions. It provides the theoretical foundations for important imageâ€¦ (More)

-A group analogous to the fundamental group is defined for binary digital pictures based on almost arbitrary lattices and adjacency relations. This digital fundamental group has an immediateâ€¦ (More)

In image processing, workers sometimes wish to display three dimensional objects on a CRT screen, and so tools for detecting surfaces by computer need to be developed. In recent papers [D. G.â€¦ (More)

One way to verify that a proposed parallel thinning algorithm â€˜â€˜preserves topologyâ€™â€™ is to check that no iteration can ever delete a minimal non-simple (â€˜â€˜MNSâ€™â€™) set. This is a practical verificationâ€¦ (More)

In the 1960's Rosenfeld introduced the concepts of 8-simple and 4-simple 1's in binary images on a 2D Cartesian grid. An 8-simple 1 is a non-8-isolated 4-border 1 that can be changed to 0 withoutâ€¦ (More)

Fuzzy segmentation is a technique that assigns to each element in an image (which may have been corrupted by noise and/or shading) a grade of membership in an object (which is believed to beâ€¦ (More)

We study 2and 3-dimensional digital geometry in the context of almost arbitrary adjacency relations. (Previous authors have based their work on particular adjacency relations.) We define a binaryâ€¦ (More)