Non-redundant, directionally selective, complex wavelets
Autor: | C.S. Burrus, Mark Coates, F.C.A. Fernandes, R.L.C. van Spaendonck |
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Rok vydání: | 2000 |
Předmět: |
Discrete wavelet transform
Lifting scheme business.industry Second-generation wavelet transform Stationary wavelet transform MathematicsofComputing_NUMERICALANALYSIS ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Wavelet transform Data_CODINGANDINFORMATIONTHEORY Wavelet packet decomposition Wavelet Computer vision Artificial intelligence Harmonic wavelet transform business Algorithm Mathematics |
Zdroj: | ICIP |
DOI: | 10.1109/icip.2000.899399 |
Popis: | Poor directional selectivity, a major disadvantage of the 2D separable discrete wavelet transform (DWT), has heretofore been circumvented either by using highly redundant, nonseparable wavelet transforms or by using restrictive designs to obtain a pair of wavelet trees. In this paper, we demonstrate that superior directional selectivity may be obtained with no redundancy in any separable wavelet transform. We achieve this by projecting the wavelet transform coefficients onto the Softy space of signals and decimating before processing. A novel reconstruction step guarantees perfect reconstruction within this critically-sampled framework. |
Databáze: | OpenAIRE |
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