Comparison of Picture Compression Methods: Wavelet, Wavelet Packet, and Local Cosine Transform Coding

This is a survey of some new perspectives on transform coding image compression. We mentions some mathematical properties of sampling, entropy, and time-frequency localization of analysis-synthesis functions. Then we discuss several experiments in picture compression using wavelets, wavelet packets, local sines and cosines, and the adaptive "best-basis" method. We calculate the efficiency of several techniques to describe a fast transform from a library, with the aim of transforming each image into its own best-adapted coordinates for transmission with minimal overhead. Standard C algorithms for the local sine and cosine transforms are included in the appendix. 1 Introduction In this summary I will describe several experiments in picture compression using wavelets and the local cosine transform of Coifman and Meyer. I will also describe an adaptive wavelet transform coding method and a local cosine transform algorithm based on the idea of a "best basis," and provide Standard C algorit..