Associating cell complexes to four dimensional digital objects

Abstract

The goal of this paper is to construct an algebraic-topological representation of a 80–adjacent doxel-based 4–dimensional digital object. Such that representation consists on associating a cell complex homologically equivalent to the digital object. To determine the pieces of this cell complex, algorithms based on weighted complete graphs and integral operators are shown. We work with integer coefficients, in order to compute the integer homology of the digital object.