Oblique and biorthogonal multiwavelet bases with fast-filtering algorithms

Akram Aldroubi; Jill McGowan

doi:10.1117/12.217567

1 September 1995 Oblique and biorthogonal multiwavelet bases with fast-filtering algorithms

Akram Aldroubi, Jill McGowan

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217567
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We construct oblique multi-wavelets bases which encompass the orthogonal multi-wavelets and the biorthogonal uni-wavelets of Cohen, Deaubechies and Feauveau. These oblique multi- wavelets preserve the advantages of orthogonal and biorthogonal wavelets and enhance the flexibility of wavelet theory to accommodate a wider variety of wavelet shapes and properties. Moreover, oblique multi-wavelets can be implemented with fast vector-filter-bank algorithms. We use the theory to derive a new construction of biorthogonal uni-wavelets.

Citation Download Citation

Akram Aldroubi and Jill McGowan "Oblique and biorthogonal multiwavelet bases with fast-filtering algorithms", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217567

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