Cellular automata labeling of connected components in n-dimensional binary lattices.

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Bibliographic Details
Title: Cellular automata labeling of connected components in n-dimensional binary lattices.
Authors: Stamatovic, Biljana1 biljana.stamatovic@udg.edu.me, Trobec, Roman2 roman.trobec@ijs.si
Source: Journal of Supercomputing. Nov2016, Vol. 72 Issue 11, p4221-4232. 12p.
Subjects: Sequential machine theory, Parallel processing, Lattice networks, Cellular automata, Data flow computing, Mathematical models
Abstract: A new cellular automata-based algorithm for labeling of connected components in n-dimensional binary lattices, for $$n \ge 2$$ , is proposed. The algorithm for 3D binary images was implemented in NetLogo and MatLab programming environments. The algorithm is local and can be efficiently implemented on data-flow parallel platforms with an average asymptotic complexity of $$\mathcal{O}(L)$$ on $$L^n $$ binary lattices. However, some worst-case arrangements of the n-dimensional lattice cells could require $$\mathcal{O}(L^{n})$$ calculation steps. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:A new cellular automata-based algorithm for labeling of connected components in n-dimensional binary lattices, for $$n \ge 2$$ , is proposed. The algorithm for 3D binary images was implemented in NetLogo and MatLab programming environments. The algorithm is local and can be efficiently implemented on data-flow parallel platforms with an average asymptotic complexity of $$\mathcal{O}(L)$$ on $$L^n $$ binary lattices. However, some worst-case arrangements of the n-dimensional lattice cells could require $$\mathcal{O}(L^{n})$$ calculation steps. [ABSTRACT FROM AUTHOR]
ISSN:09208542
DOI:10.1007/s11227-016-1761-4