On the Continuous Steering of the Scale of Tight Wavelet Frames
| Autor: | Zsuzsanna Püspöki, Daniel Sage, John Paul Ward, Michael Unser |
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| Rok vydání: | 2016 |
| Předmět: |
FOS: Computer and information sciences
Scale (ratio) Computer science Computer Vision and Pattern Recognition (cs.CV) General Mathematics Computer Science - Computer Vision and Pattern Recognition MathematicsofComputing_NUMERICALANALYSIS ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Data_CODINGANDINFORMATIONTHEORY 02 engineering and technology transformability symbols.namesake Wavelet 0202 electrical engineering electronic engineering information engineering Scaling scalability Applied Mathematics Frame (networking) Emphasis (telecommunications) 020206 networking & telecommunications Matrix multiplication Fourier transform Scalability symbols tight wavelet frames Fourier multipliers Algorithm |
| Zdroj: | SIAM Journal on Imaging Sciences. 9:1042-1062 |
| ISSN: | 1936-4954 |
| Popis: | In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be "dilated" by a procedure comparable to the operation of steering steerable wavelets. The fundamental aspects of the construction are the same: an admissible collection of Fourier multipliers is used to extend a tight wavelet frame, and the "scale" of the wavelets is adapted by scaling the multipliers. As an application, the proposed wavelets can be used to improve the frequency localization. Importantly, the localized frequency bands specified by this construction can be scaled efficiently using matrix multiplication. |
| Databáze: | OpenAIRE |
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