Multisplines, nonwavelet multiresolution, and piecewise polynomials

Shankar Moni; Rangasami L. Kashyap

doi:10.1117/12.217595

1 September 1995 Multisplines, nonwavelet multiresolution, and piecewise polynomials

Shankar Moni, Rangasami L. Kashyap

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217595
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

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.

Citation Download Citation

Shankar Moni and Rangasami L. Kashyap "Multisplines, nonwavelet multiresolution, and piecewise polynomials", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217595

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