An Introduction toWavelet Analysis with Applications to Image and JPEG 2000

Abstract

Image processing based on continuous or discrete transforms are classic topics for researchers, for it is widely used in telecommunications, information and electronics. Nowadays, the wavelet theories make up very popular methods of the image compression, denoising, etc. Considering that other literature focus more on the pure mathematics, this paper presents an overview of the wavelet, including the continuous wavelet transform and the discrete wavelet transform and discusses about its application in image processing, consisting of the multiresolution analysis. Then, the Joint Photographic Experts Group 2000 (JPEG 2000) - a new standard for image compression is paid much attention to. Finally, we use Matlab to verify the theories before and implement some basic image processing function, like: image compression, enhancement and passivation.