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1 June 1990Application of compactly supported wavelets to image compression
Multilevel unitary wavelet transform methods for image compression are described. The sub-band
decomposition preserves geometric image structure within each sub-band or level. This yields a multilevel
image representation. The use of orthonormal bases of compactly supported wavelets to represent a
discrete signal in 2 dimensions yields a localized representation of coefficient energy. Subsequent coding
of the multiresolution representation is achieved through techniques such as scalar/vector quantization,
hierarchical quantization, entropy coding, and non-linear prediction to achieve compression.
Performance advantages over the Discrete Cosine Transform are discussed. These include reduction of
errors and artifacts typical of Fourier-based spectral methods, such as frequency-domain quantization
noise and the Gibbs phenomenon. The wavelet method also eliminates distortion arising from data
blocking. The paper includes a quick review of past/present compression techniques, with special
attention paid to the Haar transfOrm, the simplest wavelet transform, and conventional Fourier-based subband
coding. Computational results are presented.
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William R. Zettler, John C. Huffman, David C. P. Linden, "Application of compactly supported wavelets to image compression," Proc. SPIE 1244, Image Processing Algorithms and Techniques, (1 June 1990); https://doi.org/10.1117/12.19505