1 September 1995 Multisplines, nonwavelet multiresolution, and piecewise polynomials
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Abstract
Multisplines provide a method to get piecewise polynomial representations that zoom in on details. Since they use multiple spline-based multiresolution simultaneously, they offer control on the polynomial order (of the piecewise polynomials) as well as the number of continuous derivatives. We explore some of the properties of multisplines and their relationship to piecewise polynomials. We show that instead of using wavelets to transcend resolutions, we can use the even translates of the scaling function.
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Shankar Moni, Rangasami L. Kashyap, "Multisplines, nonwavelet multiresolution, and piecewise polynomials", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217595; https://doi.org/10.1117/12.217595
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