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, close-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.