Block basis matrix implementation of the morphological open-closing and close-opening

We propose a method for the real-time implementation of function processing (FP), open-closing (OC), and close-opening (CO) morphological operations. The proposed method is based on the block basis matrix (BBM), which is an extension of the basis matrix of Ko and Shridar (1990). A procedure to obtain the BBM is proposed. This matrix is skew symmetric, and some related properties lead to simplify the FP morphological operations. It is shown that the real-time calculation of open-closing and close-opening is accomplished by local matrix operations rather than cascade operations (opening/closing followed by closing/opening), thus eliminating delays and requiring less memory storage.<>