I need to implement the discretized continuous wavelet transform from scratch. Could someone please point me to useful papers and references available online for this?
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$\begingroup$ Better suited for scicomp.stackexchange.com perhaps? $\endgroup$– Atul IngleCommented Feb 10, 2017 at 21:02
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1$\begingroup$ what'sa discrete continuous wavelet transform? seems sorta self-contradictory. $\endgroup$– robert bristow-johnsonCommented Feb 11, 2017 at 4:28
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$\begingroup$ dsp.stackexchange.com/a/87501/54347 This answer may be helpful. $\endgroup$– Wang YunCommented Apr 12, 2023 at 8:24
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In 1D, some of the standard references are:
- Continuous wavelet transform with arbitrary scales and $O({N})$ complexity, A. Muñoz and R. Ertl\'e and M. Unser, Signal Processing, 2002
- A fast approximation to the continuous wavelet transform with applications, Berkner, K. and Wells, R. O., Jr., 1997, Proc. Asilomar
- Fast Quasi-Continuous Wavelet Algorithms for Analysis and Synthesis of One-Dimensional Signals, Maes, S. H., 1997, SIAM J. Appl. Math.
- Comparison of algorithms for the fast computation of the continuous wavelet transform, Vrhel, M. J. and Lee, C. and Unser, M. A., 1996, Proc. SPIE
- Fast algorithms for discrete and continuous wavelet transforms, Rioul, O. and Duhamel, P., 1992, IEEE Trans. Inform. Theory
For a GPU implementation:
- Effiziente Berechnung der FWT auf Grafikkarten, Richard Maltan, Bachelorarbeit, 2014
answered Feb 11, 2017 at 0:17