A digital index theorem

Description

This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the n-dimensional Euclidean space. As an immediate consequence we obtain the corresponding theorems for all (α, β)-surfaces of Kong-Roscoe, with α, β ∈ {6, 18, 26} and (α, β) 6≠(6, 6),(18, 26),(26, 26), as well as for the strong 26-surfaces of Bertrand-Malgouyres.

Abstract

Proc. of the 7th Int. Workshop on Combinatorial Image Analysis. IWCIA00. Caen. France. July 2000.

Abstract

Dirección General de Investigación Científica y Técnica

Abstract

Dirección General de Enseñanza Superior

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