Title page for ETD etd-061599-160019


Type of Document Master's Thesis
Author Martin, Michael B.
URN etd-061599-160019
Title Applications of Multiwavelets to Image Compression
Degree Master of Science
Department Electrical Engineering
Advisory Committee
Advisor Name Title
Bell, Amy E. Committee Chair
Beex, A. A. Louis Committee Member
Woerner, Brian D. Committee Member
Keywords
  • Image Compression
  • Multiwavelet Packets
  • Multiwavelets
  • Wavelet Packets
  • Filter Banks
  • Wavelets
Date of Defense 1999-06-08
Availability unrestricted
Abstract
Methods for digital image compression have been the subject of much study over the past decade. Advances in wavelet transforms and quantization methods have produced algorithms capable of surpassing the existing image compression standards like the Joint Photographic Experts Group (JPEG) algorithm. For best performance in image compression, wavelet transforms require filters that combine a number of desirable properties, such as orthogonality and symmetry.

However, the design possibilities for wavelets are limited because they cannot simultaneously possess all of these desirable properties. The relatively new field of multiwavelets shows promise in removing some of the limitations of wavelets. Multiwavelets offer more design options and hence can combine all desirable transform features. The few previously published results of multiwavelet-based image compression have mostly fallen short of the performance enjoyed by the current wavelet algorithms.

This thesis presents new multiwavelet transform methods and measurements that verify the potential benefits of multiwavelets. Using a zerotree quantization scheme modified to better match the unique decomposition properties of multiwavelets, it is shown that the latest multiwavelet filters can give performance equal to, or in many cases superior to, the current wavelet filters. The performance of multiwavelet packets is also explored for the first time and is shown to be competitive to that of wavelet packets in some cases. The wavelet and multiwavelet filter banks are tested on a much wider range of images than in the usual literature, providing a better analysis of the benefits and drawbacks of each.



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