Abstract | ||
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This paper introduces a novel class of length-4N orthonormal scalar wavelets, and presents the theory, implementational issues, and their applications to image compression. We first give the necessary and sufficient conditions for the existence of this class. The parameterized representation of filters with different lengths are then given. Next, we derive new and efficient decomposition and reconstruction algorithms specifically tailored to this class of wavelets. We show that the proposed discrete wavelet transformations are orthogonal and have lower computational complexity than conventional octave-bandwidth transforms using Daubechies' (1989) orthogonal filters of equal length. In addition, we also verify that symmetric boundary extensions can be applied. Finally, our image compression results further confirm that improved performance can be achieved with lower computational cost |
Year | DOI | Venue |
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1999 | 10.1109/ICASSP.1999.756199 | ICASSP |
Keywords | Field | DocType |
image coding,novel class,equal length,computational cost,conventional octave-bandwidth,image resolution,orthonormal wavelet,data compression,orthonormal filter banks,necessary condition,transform coding,image reconstruction,sufficient condition,computational complexity,discrete wavelet transformations,orthonormal scalar wavelets,channel bank filters,filter lengths,symmetric boundary extensions,different length,efficient decomposition,special class,octave-bandwidth transforms,filtering theory,image compression result,lower computational cost,multiresolution reconstruction algorithm,orthogonal filter,performance,discrete wavelet transforms,daubechies orthogonal filters,image compression,parameterized filter representation,multiresolution decomposition algorithm,discrete wavelet transform,mathematics,filter bank | Parameterized complexity,Mathematical optimization,Computer science,Scalar (physics),Transform coding,Orthonormal basis,Data compression,Image compression,Computational complexity theory,Wavelet | Conference |
Volume | ISSN | ISBN |
3 | 1520-6149 | 0-7803-5041-3 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Lixin Shen | 1 | 437 | 42.76 |
Jo Yew Tham | 2 | 442 | 47.35 |
S. L. Lee | 3 | 44 | 4.26 |
Hwee Huat Tan | 4 | 74 | 6.35 |