Wavelet Transforms That Map Integers to Integers
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TLDR
Two approaches to build integer to integer wavelet transforms are presented and the precoder of Laroiaet al., used in information transmission, is adapted and combined with expansion factors for the high and low pass band in subband filtering.About:
This article is published in Applied and Computational Harmonic Analysis.The article was published on 1998-07-01 and is currently open access. It has received 1269 citations till now. The article focuses on the topics: Discrete wavelet transform & Wavelet packet decomposition.read more
Citations
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Book ChapterDOI
Factoring wavelet transforms into lifting steps
Ingrid Daubechies,Wim Sweldens +1 more
TL;DR: In this paper, a self-contained derivation from basic principles such as the Euclidean algorithm, with a focus on applying it to wavelet filtering, is presented, which asymptotically reduces the computational complexity of the transform by a factor two.
Journal ArticleDOI
Reversible data hiding
TL;DR: It is proved analytically and shown experimentally that the peak signal-to-noise ratio of the marked image generated by this method versus the original image is guaranteed to be above 48 dB, which is much higher than that of all reversible data hiding techniques reported in the literature.
Journal ArticleDOI
The lifting scheme: a construction of second generation wavelets
TL;DR: The lifting wavelet as discussed by the authors is a simple construction of second generation wavelets that can be adapted to intervals, domains, surfaces, weights, and irregular samples, and it leads to a faster, in-place calculation of the wavelet transform.
Journal ArticleDOI
Multiple description coding: compression meets the network
TL;DR: By allowing image reconstruction to continue even after a packet is lost, this type of representation can prevent a Web browser from becoming dormant, and the source can be approximated from any subset of the chunks.
Book ChapterDOI
Reversible data hiding
TL;DR: A theoretical proof and numerous experiments show that the PSNR of the marked image generated by this method is always above 48 dB, which is much higher than other reversible data hiding algorithms.
References
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Book
Ten lectures on wavelets
TL;DR: This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases.
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Ten Lectures on Wavelets
TL;DR: In this article, the regularity of compactly supported wavelets and symmetry of wavelet bases are discussed. But the authors focus on the orthonormal bases of wavelets, rather than the continuous wavelet transform.
Journal ArticleDOI
Orthonormal bases of compactly supported wavelets
TL;DR: This work construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity, by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction.
Journal ArticleDOI
Embedded image coding using zerotrees of wavelet coefficients
TL;DR: The embedded zerotree wavelet algorithm (EZW) is a simple, yet remarkably effective, image compression algorithm, having the property that the bits in the bit stream are generated in order of importance, yielding a fully embedded code.
Book
Multirate Systems and Filter Banks
TL;DR: In this paper, a review of Discrete-Time Multi-Input Multi-Output (DIMO) and Linear Phase Perfect Reconstruction (QLP) QMF banks is presented.