Fractal function, splines, intertwining multiresolution analysis, and wavelets

George C. Donovan; Jeffrey S. Geronimo; Douglas P. Hardin

doi:10.1117/12.188809

11 October 1994 Fractal function, splines, intertwining multiresolution analysis, and wavelets

George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188809
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

The construction of smooth, orthogonal compactly supported wavelets is accomplished using fractal interpolation functions and splines. These give rise to multiwavelets. In the latter case piecewise polynomial wavelets are exhibited using an intertwining multiresolution analysis.

Citation Download Citation

George C. Donovan, Jeffrey S. Geronimo, and Douglas P. Hardin "Fractal function, splines, intertwining multiresolution analysis, and wavelets", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188809

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