2015/02/22 by P. Christopher Staecker, Staecker, P. Christopher
Computer Science · #05B50 #55P10 #68R10 #Combinatorics (math.CO) #Computer Vision and Pattern Recognition (cs.CV) #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #General Topology (math.GN) #I.4.m #Medical Image Segmentation Techniques #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1502.06236
openalex publication_date 2015/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The topology of digital images has been studied much in recent years, but no attempt has been made to exhaustively catalog the structure of binary images of small numbers of points. We produce enumerations of several classes of digital images up to isomorphism and decide which among them are homotopy equivalent to one another. Noting some patterns in the results, we make some conjectures about digital images which are irreducible but not rigid.