Matrix representation of composite morphological function processing systems

This paper presents an efficient real-time implementation method for grayscale function processing (FP) systems. The proposed method is based on matrix representation of the composites (FP) systems using the basis matrix and the block basis matrix which are extensions of the basis function. We propose a procedure to derive the basis matrix for composite FP systems from any grayscale structuring element (GSE). It is shown that opening, closing, clos-opening (CO) and open-closing (OC) are accomplished by local matrix operations rather than cascade operations and thus eliminating delays and requiring less memory storage