Tunable continuous wavelet and frame transforms

James F. Scholl; Delmar L. Barker; Harry A. Schmitt; John D. Langan

doi:10.1117/12.408576

4 December 2000 Tunable continuous wavelet and frame transforms

James F. Scholl, Delmar L. Barker, Harry A. Schmitt, John D. Langan

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408576
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

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.

Citation Download Citation

James F. Scholl, Delmar L. Barker, Harry A. Schmitt, and John D. Langan "Tunable continuous wavelet and frame transforms", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408576

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