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.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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KEYWORDS
Radon

Chemical species

Image compression

Wavelets

Zoom lenses

Image resolution

Intelligence systems

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