Cellular Lines: An Introduction

Abstract

This paper provides a definition of a cellular line in a cellular array that is independent of the notion of a line in $\mathfrak{R}^2$.It also presents a way of determining whether or not a cell set is a cellular line.Brief statements about existence, uniqueness, and properties of cellular lines are included.

Keywords

• line drawing algorithm
• derived string
• cellular line definition
• cellular array
• string representation
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
• [math.math-co] mathematics [math]/combinatorics [math.co]
• [nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg]