Generalization of morphological wavelet transform by using various sampling windows and their application to video coding

抄録

By using various sampling windows, morphological wavelets are generalized in order for efficient image compression and video coding. In the case of morphological wavelets which are based on max-plus algebra, the approximation signal is corresponded to the minimum (or maximum) element among the elements of sampling window, and the detailed signals are corresponded to the subtraction of the fixed element and other ones of the sampling window. Therefore, the proposed wavelets can be generalized without any restriction with respect to the sampling window. Through the coding experiments by using test images/videos extracted from standard image/video database, the performance and properties of the morphological wavelets by using 5 different sampling windows are shown.