Asymptotic property of dual frames of a wavelet frame yielded by several refinable functions

Xiaojun Cao; Jincang Han

doi:10.1117/12.2010849

20 March 2013 Asymptotic property of dual frames of a wavelet frame yielded by several refinable functions

Xiaojun Cao, Jincang Han

Proceedings Volume 8768, International Conference on Graphic and Image Processing (ICGIP 2012); 87681U (2013) https://doi.org/10.1117/12.2010849
Event: 2012 International Conference on Graphic and Image Processing, 2012, Singapore, Singapore

Abstract

Wavelet tight frames have attracted more and more attention. In this paper, we show that there exist wavelet frames generated by two functions which have good dual wavelet frames, but for which the standard dual wavelet frame does not consist of wavelets. That is to say, the standard dual wavelet frame cannot be generated by the translations and dilations of a single function.

Citation Download Citation

Xiaojun Cao and Jincang Han "Asymptotic property of dual frames of a wavelet frame yielded by several refinable functions", Proc. SPIE 8768, International Conference on Graphic and Image Processing (ICGIP 2012), 87681U (20 March 2013); https://doi.org/10.1117/12.2010849

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