Generalizing the ENO-DB2p transform using the inverse wavelet transform

被引：0
作者：
Francesc Aràndiga
Rosa Donat
José J. Noguera
机构：
[1] Universitat de València,Departament de Matemàtica Aplicada
来源：
Numerical Algorithms | 2017年 / 74卷
关键词：
Wavelets; Essentially non-oscillatory; ENO; Multiresolution framework; Orthogonal wavelets;
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学科分类号：
摘要：
The essentially non-oscillatory (ENO)-wavelet transform developed by Chan and Zhou (SIAM J. Numer. Anal. 40(4), 1369–1404, 2002) is based on a combination of the Daubechies-2p wavelet transform and the ENO technique. It uses extrapolation methods to compute the scaling coefficients without differencing function values across jumps and obtains a multiresolution framework (essentially) free of edge artifacts. In this work, we present a different way to compute the ENO-DB2p wavelet transform of Chan and Zhou which allows us to simplify the process and easily generalize it to other families of orthonormal wavelets.
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页码：175 / 198
页数：23
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