Wavelet compression through wavelet Stieltjes transform

Mo-Hong Chou; EnBing Lin

doi:10.1117/12.162085

1 November 1993 Wavelet compression through wavelet Stieltjes transform

Mo-Hong Chou, EnBing Lin

Proceedings Volume 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing; (1993) https://doi.org/10.1117/12.162085
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

A new wavelet transform is introduced for analyzing image compression and signal processing. We introduce Wavelet Stieltjes transform (WST) which provides a unified framework to analyze both continuous and discrete signals. Some properties of WST are summarized. Moreover, we obtain multiresolution analysis and encode WST coefficients for WST. It is shown that one can distinguish images or signals by WST methods while they are not discriminated by regular wavelet transform. Theory for regular wavelet transform may be extended to WST.

Citation Download Citation

Mo-Hong Chou and EnBing Lin "Wavelet compression through wavelet Stieltjes transform", Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); https://doi.org/10.1117/12.162085

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