Multichannel Representation of Mophological Wavelets based on Max-plus Algebra and Its Application to Image Compression

Abstract

Multichannel representation of non-linear wavelets is proposed based on an extension of conventional morphological wavelets with 4 channels, in order to perform efficient image compression/reconstruction. The proposed wavelets, especially 3x3 channels wavelets are constructed from min (max) operation in the target window 3x3 pixels and subtractions of each direction pixel and the center of target window that correspond to 1 signal and 8 detailed spaces, respectively. The proposed wavelets can preserve edge information of the original image on the compressed image, therefore, in the case of motion compression, the proposed wavelets are efficient for the compression/reconstruction of P-frames which are correspond to edge images. Through an image compression/reconstruction experiment using standard image database and motion imaginary, it is confirmed the effectiveness of the proposed method compared under the low bit rate compression.