<title>Image compression using multiresolution morphological decomposition</title>

Abstract

Multiresolution image decomposition based on nonlinear filtering has received a lot of attention recently. In this research, we investigate the coding issue for one class of nonlinear multiresolution image decomposition based on mathematical morphology. We consider the use of opening and closing operations with a flat structure element to achieve image decomposition. The entropy and histogram of the difference images in the image pyramid are then examined. We give a numerical example to demonstrate potential advantages of the morphological filtering approach over the conventional linear filtering approach in the context of image coding. However, we also point out difficulties encountered in our study that have to be overcome before the method can be practically used.