Searching high order invariants in computer imagery
In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer imagery. More precisely, the formulas of the (a)-coalgebra maps (2) and (3) using the notion of AT-model of a digital image, and the HPT technique are implemented. The method has been tested on some specific examples, showing the usefulness of this computational tool for distinguishing 3 digital images.
homological perturbation theory digital image topological invariant a(infinity)-coalgebra