Wavelet frames with fast algorithm and its applications to data compression and noise suppression

Shidong Li

doi:10.1117/12.217589

1 September 1995 Wavelet frames with fast algorithm and its applications to data compression and noise suppression

Shidong Li

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217589
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

A new approach on the construction of wavelet-frames (affine frames) is presented. It uses a new concept of affine pseudo frames, and a generalized multiresolution structure (GMS). The freedom gained from using pseudo frames allows us to design filters of rapid decay. A fast numerical algorithm for the affine frame decomposition and reconstruction is also a natural consequence of the GMS structure. Examples on applications to data compression and noise suppression are presented. Results are encouraging.

Citation Download Citation

Shidong Li "Wavelet frames with fast algorithm and its applications to data compression and noise suppression", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217589

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