Fractal function, splines, intertwining multiresolution analysis, and wavelets

George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994

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.

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