JOURNAL ARTICLE
<title>Fractal function, splines, intertwining multiresolution analysis, and wavelets</title>
George C. DonovanJeffrey S. GeronimoDouglas P. Hardin
Year: 1994 Journal: Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE Vol: 2303 Pages: 238-243 Publisher: SPIE
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.
Keywords:
Wavelet Fractal Multiresolution analysis Piecewise Legendre wavelet Interpolation (computer graphics) Spline (mechanical) Mathematics Pure mathematics Applied mathematics Mathematical analysis Function (biology) Fractal analysis Algorithm Computer science Algebra over a field Fractal dimension Artificial intelligence Wavelet transform Structural engineering Discrete wavelet transform Engineering Image (mathematics)
Metrics
9
Cited By
1.04
FWCI (Field Weighted Citation Impact)
0
Refs
0.78
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Image and Signal Denoising Methods
Physical Sciences → Computer Science → Computer Vision and Pattern Recognition
Complex Systems and Time Series Analysis
Social Sciences → Economics, Econometrics and Finance → Economics and Econometrics
Mathematical Analysis and Transform Methods
Physical Sciences → Mathematics → Applied Mathematics
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