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检索条件"主题词=Cascade algorithm"
54 条 记 录,以下是31-40 订阅
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Convergence rates of vector cascade algorithms in Lp
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JOURNAL OF APPROXIMATION THEORY 2005年 第1期137卷 123-142页
作者: Li, S Zhejiang Univ Dept Math Hangzhou 310027 Zhejiang Peoples R China
We investigate the solutions of vector refinement equations of the form phi = Sigma(alpha is an element of Z alpha) a(alpha)phi(M (.) -alpha), where the vector of functions phi = (phi(1),..., phi(r))(T) is in (L-p(R-s... 详细信息
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Direct algorithm for computation of derivatives of the Daubechies basis functions
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APPLIED MATHEMATICS AND COMPUTATION 2005年 第2期170卷 1006-1013页
作者: Lin, WB Kovvali, N Carin, L Duke Univ Dept Elect & Comp Engn Durham NC 27708 USA
We extend the direct algorithm for computing the derivatives of the compactly supported Daubechies N-vanishing-moment basis functions. The method yields exact values at dyadic rationals for the nth derivative (0 <=... 详细信息
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Subdivision schemes with nonnegative masks
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MATHEMATICS OF COMPUTATION 2005年 第250期74卷 819-839页
作者: Zhou, XL China Jiliang Univ Dept Math Hangzhou Peoples R China Univ Duisburg Essen Inst Math D-47057 Duisburg Germany
The conjecture concerning the characterization of a convergent univariate subdivision algorithm with nonnegative finite mask is confirmed.
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A NOTE ON VECTOR cascade algorithm
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Journal of Computational Mathematics 2002年 第4期20卷 363-372页
作者: Qiu-hui Chen Jin-zhao Liu Wen-sheng Zhang Department of Scientific Computing and Computer Applications Zhongshan UniversityGuangzhou510275China Department of Geophysics Peking UniversityBeijing 100871China ICMSEC Academy of Mathematics and Systems SciencesChinese Academy of SciencesBeijing 100080China
The focus of this paper is on the relationship between accuracy of multivariate refinable vector and vector cascade algorithm. We show that, if the vector cascade algorithm (1.5) with isotropic dilation converges to a... 详细信息
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Characterization of smoothness of multivariate refinable functions and convergence of cascade algorithms of nonhomogeneous refinement equations
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ADVANCES IN COMPUTATIONAL MATHEMATICS 2004年 第4期20卷 311-331页
作者: Li, S Zhejiang Univ Dept Math Hangzhou 310027 Zhejiang Peoples R China
This paper concerns multivariate homogeneous refinement equations of the form (GRAPHICS) This paper concerns multivariate homogeneous refinement equations of the form (GRAPHICS) where phi=(phi(1),...,phi(r))(T) is the... 详细信息
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Multivariate Refinement Equations and Convergence of cascade algorithms in L_(p)(0
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Acta Mathematica Sinica,English Series 2003年 第1期19卷 97-106页
作者: Song LI Department of Mathematices Zhejiang UniversityHangzhou 310027P.R.China Institute of Mathematics Academy of Mathematics and System sciencesChinese Academy of SciencesBeijing 100080P.R.China
We consider the solutions of refinement equations written in the form$$\varphi \left( x \right) = \sum\limits_{\alpha \in \Zopf^s} {a\left( \alpha \right)\varphi \left( {Mx - \alpha } \right) + g\left( x \right),\,\,\... 详细信息
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CONVERGENCE OF cascade algorithmS AND SMOOTHNESS OF REFINABLE DISTRIBUTIONS
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Chinese Annals of Mathematics,Series B 2003年 第3期24卷 367-386页
作者: SUN QIYU Department of Mathematics, University of Houston, Houston, TX 77204, USA. Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore. Univ Houston Dept Math Houston TX 77204 USA Natl Univ Singapore Dept Math Singapore 119260 Singapore
In this paper, the author at first develops a method to study convergence of the cascadealgorithm in a Banach space without stable assumption on the initial (see Theorem 2.1), andthen applies the previous result on th... 详细信息
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M-channel lifting factorization of perfect reconstruction filter banks and reversible M-band wavelet transforms
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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 2003年 第12期50卷 963-976页
作者: Chen, YJ Amaratunga, KS MIT Dept Civil & Environm Engn Intelligent Engn Syst Lab Wavelet Grp Cambridge MA 02139 USA
An intrinsic M-channel lifting factorization of perfect reconstruction filter banks (PRFBs) is presented as an extension of Sweldens' conventional two-channel lifting scheme. Given a polyphase matrix E(z) of a fin... 详细信息
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Construction of smooth refinable function vectors by cascade algorithms
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SIAM JOURNAL ON NUMERICAL ANALYSIS 2002年 第4期40卷 1354-1368页
作者: Chen, DR Beijing Univ Aeronaut & Astronaut Dept Appl Math Beijing 100083 Peoples R China Hubei Inst Nationalities Enshi 44500 Hubei Peoples R China
This paper establishes an equivalent relation between the convergence of a cascade algorithm in Sobolev space and the convergence of an associated cascade algorithm in L-p space. It reduces the convergence in Sobolev ... 详细信息
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Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks
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JOURNAL OF APPROXIMATION THEORY 2002年 第2期119卷 133-155页
作者: Chen, DR Plonka, G Univ Duisburg Inst Math D-47048 Duisburg Germany Beijing Univ Aeronaut & Astronaut Dept Appl Math Beijing 100083 Peoples R China Hubei Inst Nationalities Dept Math Enshi 445000 Hubei Peoples R China
In this paper, the convergence of the cascade algorithm in a Sobolev space is considered if the refinement mask is perturbed. It is proved that the cascade algorithm corresponding to a slightly perturbed mask converge... 详细信息
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