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On Multistage Successive Refinement for Wyner-Ziv Source Coding with Degraded Side Informations [PDF]
, 2006 We provide a complete characterization of the rate-distortion region for the multistage successive refinement of the Wyner-Ziv source coding problem with degraded side informations at the decoder.
Diggavi, Suhas, Tian, Chao
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Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions [PDF]
Science China Mathematics, 2021 Generalizing wavelets by adding desired redundancy and flexibility,framelets are of interest and importance in many applications such as image processing and numerical algorithms. Several key properties of framelets are high vanishing moments for sparse multiscale representation, fast framelet transforms for numerical efficiency, and redundancy for ...
Han, Bin, Lu, Ran
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Generalized interpolating refinable function vectors
Journal of Computational and Applied Mathematics, 2009 Compactly supported interpolating \(d\)-refinable function vectors with any dilation factor \(d>1\) are considered. Motivated by wavelet applications, it is desirable to have compactly supported refinable functions that are both interpolating and orthogonal.
Han, Bin +2 more
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Regularity of refinable function vectors
The Journal of Fourier Analysis and Applications, 1997 Compactly supported solutions of refinement equations \(\phi(x)=\sum_{n=0}^N P_n\phi(2x-n)\) are considered for vector valued functions \(\phi\) and constant square matrices \(P_n\). As in the scalar case, the smoothness of \(\phi\) and the decay of the Fourier transform \(\widehat{\phi}\) are characterized by properties of the refinement mask \(P(u ...
Cohen, A., Daubechies, I., Plonka, G.
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High Balanced Biorthogonal Multiwavelets with Symmetry
Abstract and Applied Analysis, 2014 Balanced multiwavelet transform can process the vector-valued data sparsely while preserving a polynomial signal. Yang et al. (2006) constructed balanced multiwavelets from the existing nonbalanced ones.
Youfa Li +3 more
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Eilenberg Theorems for Free [PDF]
, 2017 Eilenberg-type correspondences, relating varieties of languages (e.g. of finite words, infinite words, or trees) to pseudovarieties of finite algebras, form the backbone of algebraic language theory.
Adámek, Jiří +3 more
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Properties of locally linearly independent refinable function vectors [PDF]
Journal of Approximation Theory, 2003 Let \(\Phi= (\phi_1,\dots,\phi_r)^T\) be a vector of compactly supported integrable functions on \(\mathbb{R}\) such that \[ \Phi(t)= \sum_{k\in\mathbb{Z}} A(k)\Phi(2t- k)\quad\text{for all }t\in \mathbb{R}, \] where \(\{A(k)\}\) is a finitely supported sequence of \((r\times r)\)-matrices.
Plonka, Gerlind, Zhou, Ding-Xuan
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Bell-shaped nonstationary refinable ripplets [PDF]
, 2015 We study the approximation properties of the class of nonstationary refinable ripplets introduced in \cite{GP08}. These functions are solution of an infinite set of nonstationary refinable equations and are defined through sequences of scaling masks that
Pitolli, Francesca
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Orthogonality criteria for compactly supported refinable functions and refinable function vectors
The Journal of Fourier Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lagarias, Jeffrey C., Wang, Yang
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A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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