2012/09/28 by Giorgio Nordo, Nordo, Giorgio, Angelo Maimone +1
Computer Science · #52C45 #52C99 #Combinatorics (math.CO) #Digital Image Processing Techniques #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.1 #I.4.6 #I.5.1 #Medical Image Segmentation Techniques #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1209.6462
openalex publication_date 2012/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a formula that expresses the number of (n-2)-gaps of a generic digital n-object. Such a formula has the advantage to involve only a few simple intrinsic parameters of the object and it is obtained by using a combinatorial technic based on incidence structure and on the notion of free cells. This approach seems suitable as a model for an automatic computation, and also allow us to find some expressions for the maximum number of i-cells that bound or are bounded by a fixed j-cell.