The PBF of one weight weighted median filters
Tanfeng Sun, Moncef Gabbouj, Yrjo A. Neuvo · 2002
The general form of positive Boolean functions (PBFs) corresponding to one weight weighted median (WM) filters, which are a subclass of WM filters, is derived in this paper. Based on the results, it is straightforward to derive the corresponding PBF from a given one weight WM filter or vice versa. The results can also be used to check whether an PBF corresponds to an one weight WM filters. The checking procedure is very simple and tractable due to the fact that linear programming is not needed.>