Results 41 to 50 of about 3,057 (141)
Improved bounds for the rate loss of multiresolution source codes [PDF]
, 2003 We present new bounds for the rate loss of multiresolution source codes (MRSCs). Considering an M-resolution code, the rate loss at the ith resolution with distortion D/sub i/ is defined as L/sub i/=R/sub i/-R(D/sub i/), where R/sub i/ is the rate ...
Effros, Michelle, Feng, Hanying
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Generalized interpolating refinable function vectors
Journal of Computational and Applied Mathematics, 2009 Compactly supported interpolating \(d\)-refinable function vectors with any dilation factor \(d>1\) are considered. Motivated by wavelet applications, it is desirable to have compactly supported refinable functions that are both interpolating and orthogonal.
Han, Bin +2 more
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The refinability of step functions [PDF]
Proceedings of the American Mathematical Society, 2007 Refinable functions have been widely investigated because of their importance in wavelet theory and multiresolution analysis, as well as because of intrinsic interest. Problems involving refinability can be challenging and interesting problems in mathematics. Several papers have investigated refinability of splines and other classes of functions.
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Subdivision Directional Fields
, 2019 We present a novel linear subdivision scheme for face-based tangent directional fields on triangle meshes. Our subdivision scheme is based on a novel coordinate-free representation of directional fields as halfedge-based scalar quantities, bridging the ...
Custers, Bram, Vaxman, Amir
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Symmetric multivariate orthogonal refinable functions
Applied and Computational Harmonic Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularity of refinable function vectors
The Journal of Fourier Analysis and Applications, 1997 Compactly supported solutions of refinement equations \(\phi(x)=\sum_{n=0}^N P_n\phi(2x-n)\) are considered for vector valued functions \(\phi\) and constant square matrices \(P_n\). As in the scalar case, the smoothness of \(\phi\) and the decay of the Fourier transform \(\widehat{\phi}\) are characterized by properties of the refinement mask \(P(u ...
Cohen, A., Daubechies, I., Plonka, G.
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Exact and Soft Successive Refinement of the Information Bottleneck. [PDF]
Entropy (Basel), 2023 Charvin H, Catenacci Volpi N, Polani D.
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Nonlinear $N$-term approximation by refinable functions [PDF]
St. Petersburg Mathematical Journal, 2006 This interesting paper considers the \(N\)-term nonlinear approximation. This theory was essentially influenced by \textit{M. Sh. Birman} and \textit{M. Z. Solomjak} [Mat. Sb., N. Ser. 73(115), 331--355 (1967; Zbl 0173.16001)].
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The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation. [PDF]
Adv Differ Equ, 2021 Mohammad M, Trounev A, Cattani C.
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Fractional GP refinable functions
Rendiconti di Matematica e delle Sue Applicazioni, 2007 A new class of refinable functions extending the GP class introduced in [12] is presented. It is characterized by a symbol with fractional exponent that gives rise to non-compactly supported refinable functions. Nevertheless, the decay and stability properties of these refinable functions allow them to generate a multiresolution analysis (MRA) of L2(R).
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