Abstract
AbstractIn this paper, we define a new flavour of well-composedness, called strong Euler well-composedness. In the general setting of regular cell complexes, a regular cell complex of dimension n is strongly Euler well-composed if the Euler characteristic of the link of each boundary cell is 1, which is the Euler characteristic of an $$(n-1)$$
(
n
-
1
)
-dimensional ball. Working in the particular setting of cubical complexes canonically associated with $$n$$
n
D pictures, we formally prove in this paper that strong Euler well-composedness implies digital well-composedness in any dimension $$n\ge 2$$
n
≥
2
and that the converse is not true when $$n\ge 4$$
n
≥
4
.
Funder
Ministerio de Ciencia, Innovación y Universidades
Agencia de Innovación y Desarrollo de Andalucía
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Control and Optimization,Discrete Mathematics and Combinatorics,Computer Science Applications
Cited by
1 articles.
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