Camera placement in integer lattices
The authors study the following camera placement problem in the \(d\)- dimensional integer lattice: Given an integer \(s\), determine a configuration \(S\) of \(s\) lattice points such that the density of lattice points visible by at least one point of \(S\) is maximized. This problem is analyzed for complete integer lattices. The combinatorial part has been reduced to an instance of a general integer optimization problem involving absolute monotone functions. The optimal configuration of size up to \(3^ d\) in \(d\) dimensions is characterized in simple terms.
scientific article; zbMATH DE number 617327
scientific article