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Provided that a cohomological model for $$G$$ G is known, we describe a method for constructing a basis for $$n$$ n -cocycles over $$G$$ G , from which the whole set of $$n$$ n -dimensional $$n$$ n -cocyclic matrices over $$G$$ G may be straightforwardly calculated. Focusing in the case $$n=2$$ n = 2 (which is of special interest,...
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 Δ2 and Δ3 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...
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