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- Q3238415 subject Q7468819.
- Q3238415 abstract "The lifting scheme is a technique for both designing wavelets and performing the discrete wavelet transform.Actually it is worthwhile to merge these steps and design the wavelet filters while performing the wavelet transform.This is then called the second generation wavelet transform.The technique was introduced by Wim Sweldens.Factorizes orthogonal and biorthogonal wavelet transforms into elementary spatial operators called lifting. It has two main applications. The first one is an acceleration of the fast wavelet transform algorithm. The filter bank convolution and subsampling operations are factorized into elementary filterings on even and odd samples, which reduces the number of operations by nearly 2. Border treatments are also simplified. This is also called a paraunitary filter bank implementation. The second application is the design of wavelets adapted to multidimensional bounded domains and surfaces, which is not possible with a Fourier transform approach. The discrete wavelet transform applies several filters separately to the same signal.In contrast to that, for the lifting scheme the signal is divided like a zipper.Then a series of convolution-accumulate operations across the divided signals is applied.".
- Q3238415 thumbnail Second_generation_wavelet_transform.svg?width=300.
- Q3238415 wikiPageExternalLink S0036141095289051.
- Q3238415 wikiPageExternalLink lifting.html.
- Q3238415 wikiPageExternalLink Journaintfft.pdf.
- Q3238415 wikiPageExternalLink ~wavelets.
- Q3238415 wikiPageExternalLink thielemann.pdf.
- Q3238415 wikiPageExternalLink 1002_Yoo.ppt.
- Q3238415 wikiPageExternalLink viewtopic.php?t=3276.
- Q3238415 wikiPageWikiLink Q1044361.
- Q3238415 wikiPageWikiLink Q1107064.
- Q3238415 wikiPageWikiLink Q1327576.
- Q3238415 wikiPageWikiLink Q230848.
- Q3238415 wikiPageWikiLink Q2414958.
- Q3238415 wikiPageWikiLink Q5532488.
- Q3238415 wikiPageWikiLink Q55564.
- Q3238415 wikiPageWikiLink Q7226737.
- Q3238415 wikiPageWikiLink Q7443700.
- Q3238415 wikiPageWikiLink Q7468819.
- Q3238415 wikiPageWikiLink Q8023488.
- Q3238415 wikiPageWikiLink Q831390.
- Q3238415 wikiPageWikiLink Q931783.
- Q3238415 comment "The lifting scheme is a technique for both designing wavelets and performing the discrete wavelet transform.Actually it is worthwhile to merge these steps and design the wavelet filters while performing the wavelet transform.This is then called the second generation wavelet transform.The technique was introduced by Wim Sweldens.Factorizes orthogonal and biorthogonal wavelet transforms into elementary spatial operators called lifting. It has two main applications.".
- Q3238415 label "Lifting scheme".
- Q3238415 depiction Second_generation_wavelet_transform.svg.