Results 31 to 40 of about 10,821,939 (327)
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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A Brief Survey of the Graph Wavelet Frame
Complexity, 2022 In recent years, the research of wavelet frames on the graph has become a hot topic in harmonic analysis. In this paper, we mainly introduce the relevant knowledge of the wavelet frames on the graph, including relevant concepts, construction methods, and
Jie Zhou, Zeze Zhang
doaj +1 more source
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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Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron
Mathematics, 2020 We construct a new volume preserving map from the unit ball B 3 to the regular 3D octahedron, both centered at the origin, and its inverse. This map will help us to construct refinable grids of the 3D ball, consisting in diameter bounded cells ...
Adrian Holhoş, Daniela Roşca
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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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Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2
Abstract and Applied Analysis, 2011 We provide a sufficient condition for constructing a class of compactly supported refinable functions with componentwise polynomial property in ℝ2. An iteration algorithm is developed to compute the polynomial on each component of the functions' support.
Yanmei Xue, Ning Bi
doaj +1 more source
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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Some smooth compactly supported tight framelets associated to the quincunx matrix [PDF]
, 2016 We construct several families of tight wavelet frames in L2(R2)L2(R2) associated to the quincunx matrix. A couple of those families has five generators. Moreover, we construct a family of tight wavelet frames with three generators.
San Antolín Gil, Ángel +1 more
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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.
openaire +3 more sources
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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