Weak visibility preserving functions
Jack J Billings
North Central College
Abstract
A point $P$ in a set $S$ of lattice points is weakly visible in $S$ if no other point in $S$ lies on the line segment from the origin to $P$. A function whose domain is $S$ with co-domain consisting of lattice points is said to be weak visibility preserving if every point $P$ that is weakly visible in $S$ is also weakly visible in $f\left[S\right]$. Using previous work on lattice point visibility as the foundation for our approach, we explore the topic of weak visibility preserving functions. Two particular types of functions are investigated, with one always being weak visibility preserving and the other never so.
