Results 11 to 20 of about 3,057 (141)
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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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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Abstract and Applied Analysis, 2011 This paper is concerned with analyzing the mathematical properties, such as the regularity and stability of nonstationary biorthogonal wavelet systems based on exponential B-splines.
Yeon Ju Lee, Jungho Yoon
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Closure of dilates of shift-invariant subspaces [PDF]
, 2013 Let $V$ be any shift-invariant subspace of square summable functions. We prove that if for some $A$ expansive dilation $V$ is $A$-refinable, then the completeness property is equivalent to several conditions on the local behaviour at the origin of the ...
Soto-Bajo, Moisés
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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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The regularity of refinable functions
Applied and Computational Harmonic Analysis, 2013 The regularity of refinable functions has been studied extensively in the past. A classical result by Daubechies and Lagarias states that a compactly supported refinable function in $\R$ of finite mask with integer dilation and translations cannot be in $C^\infty$.
Wang, Yang, Xu, Zhiqiang
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HOW TO REFINE POLYNOMIAL FUNCTIONS [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2012 Research on refinable functions in wavelet theory is mostly focused to localized functions. However it is known, that polynomial functions are refinable, too. In our paper we investigate on conversions between refinement masks and polynomials and their uniqueness.
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Polar Codes for Distributed Hierarchical Source Coding [PDF]
, 2014 We show that polar codes can be used to achieve the rate-distortion functions in the problem of hierarchical source coding also known as the successive refinement problem.
Barg, Alexander, Ye, Min
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Refinable functions for dilation families [PDF]
Advances in Computational Mathematics, 2011 Advances in Computational Mathematics, 36 (3)
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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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