Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity: Numerical Results
نویسندگان
چکیده
منابع مشابه
Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity
Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (π/2, π). The results improve those obtai...
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We propose a constructive method to find compactly supported orthonormal wavelets for any given compactly supported scaling function φ in the multivariate setting. For simplicity, we start with a standard dilation matrix 2I2×2 in the bivariate setting and show how to construct compactly supported functions ψ1, · · · , ψn with n > 3 such that {2ψj(2x − `, 2ky − m), k, `,m ∈ Z, j = 1, . . . , n} ...
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متن کاملWavelets with Optimal Sobolev Regularity
Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (π/2, π). The results improve those obtai...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2001
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0329