Tunable continuous wavelet and frame transforms

James F. Scholl, Delmar L. Barker, Harry A. Schmitt, John D. Langan · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2000

Continuous wavelet transforms (CWT) and frames have always been useful for noise suppression, edge detection and medical signal processing. However, these transforms are generally shied away from since computational complexity prevents their widespread use. However, recently developed processor technology that uses analog rather than digital signal processing hardware may be the ideal means to implement and apply these algorithms. It is then appropriate to consider new types of frames and continuous wavelet systems. We propose two families of tunable continuous wavelet systems with widely varying frame bounds and scaling behavior, and illustrate examples of computations involving these systems.

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