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检索条件"主题词=cascade algorithm"
54 条 记 录,以下是41-50 订阅
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Stability implies convergence of cascade algorithms in Sobolev space
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2002年 第1期268卷 41-52页
作者: Chen, DR Zheng, XB Beijing Univ Aeronaut & Astronaut Dept Appl Math Beijing 100083 Peoples R China Hubei Inst Nationalities Dept Math Enshi 445000 Hubei Peoples R China
This article proves that the stability of the shifts of a refinable function vector ensures the convergence of the corresponding cascade algorithm in Sobolev space to which the refinable function vector belongs. An ex... 详细信息
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Convergence of vector subdivision schemes in Sobolev spaces
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2002年 第1期12卷 128-149页
作者: Chen, DR Jia, RQ Riemenschneider, SD Beijing Univ Aeronaut & Astronaut Dept Appl Math Beijing 100083 Peoples R China Univ Alberta Dept Math Sci Edmonton AB T6G 2G1 Canada W Virginia Univ Dept Math Morgantown WV 26506 USA
In this paper we consider functional equations of the form phi = Sigma(alphais an element ofZs) a(alpha)phi(M-.-alpha). where phi = (phi(1), . . . . phi(r)()T) is an r x 1 vector of functions on the s-dimensional Eucl... 详细信息
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Norms concerning subdivision sequences and their applications in wavelets
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2001年 第3期11卷 329-346页
作者: Zhou, DX City Univ Hong Kong Dept Math Kowloon Hong Kong Peoples R China
Let a := (a(alpha))(alpha is an element ofZ)s be a finitely supported sequence of r x r matrices and M be a dilation matrix. The subdivision sequence {(a(n)(alpha))(alpha is an element ofZ)s : n is an element of N} is... 详细信息
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Subdivision schemes and refinement equations with nonnegative masks
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JOURNAL OF APPROXIMATION THEORY 2001年 第2期113卷 207-220页
作者: Wang, Y Georgia Inst Technol Sch Math Atlanta GA 30332 USA
We consider the two-scale refinement equation f(x) = Sigma(n=0)(N) c(n)f(2x - n) with Sigma(n) c(2n) = Sigma(n)c(2n+1) = 1 where c(0), c(N) not equal 0 and the corresponding subdivision scheme. We study the convergenc... 详细信息
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The stability of subdivision operator at its fixed point
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SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2001年 第2期33卷 448-460页
作者: Protasov, V Moscow MV Lomonosov State Univ Dept Mech & Math Moscow 119899 Russia
We consider the univariate two-scale refinement equation phi (x) = Sigma (N)(k=0) c(k)phi (2x - k), where c(0),..., c(N) are complex values and Sigmac(k) = 2. This paper analyzes the correlation between the existence ... 详细信息
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Nonuniform cascade algorithms
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2000年 第1-2期119卷 223-234页
作者: Goodman, TNT Lee, SL Univ Dundee Dept Math Dundee DD1 4HN Scotland Natl Univ Singapore Dept Math Singapore 119260 Singapore
For a sequence of bounded linear operators H-k, k = 0, 1,..., on a Banach space S, the algorithm phi(k,n) = H(k)phi(k+1,n-1) generates a family of sequences (phi(k,n))(n=0)(infinity), k = 0, 1,..., from an initial fam... 详细信息
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A complete solution characterizing smooth refinable functions
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SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2000年 第6期31卷 1332-1350页
作者: Protasov, V Erasmus Univ Dept Econ NL-3062 PA Rotterdam Netherlands Inst Adv Study Princeton NJ 08540 USA
In this paper we study univariate two-scale refinement equations phi(x) = Sigma(k is an element of Z)c(k)phi (2x - k), where the coefficients c(k) is an element of C satisfy an exponential decay assumption. We show th... 详细信息
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Spline interpolation and wavelet construction
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 1998年 第3期5卷 249-276页
作者: Lee, SL Sharma, A Tan, HH Natl Univ Singapore Dept Math Singapore 119260 Singapore Univ Alberta Dept Math Edmonton AB T6G 2G1 Canada
The method of Dubuc and Deslauriers on symmetric interpolatory subdivision is extended to study the relationship between interpolation processes and wavelet construction. Refinable and interpolatory functions are cons... 详细信息
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Refinable function vectors
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SIAM JOURNAL ON MATHEMATICAL ANALYSIS 1998年 第1期29卷 235-250页
作者: Shen, ZW Natl Univ Singapore Dept Math Singapore 119260 Singapore
Refinable function vectors are usually given in the form of an infinite product of their refinement (matrix) masks in the frequency domain and approximated by a cascade algorithm in both time and frequency domains. We... 详细信息
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Inhomogeneous refinement equations
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JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 1998年 第6期4卷 733-747页
作者: Strang, G Zhou, DX MIT Dept Math Cambridge MA 02139 USA City Univ Hong Kong Dept Math Kowloon Hong Kong
Equations with two time scales (refinement equations or dilation equations) are central to wavelet theory. Several applications also include an inhomogeneous forcing term F(t). We develop here a parr of the existence ... 详细信息
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