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
core
Matrix-free weighted quadrature for a computationally efficient isogeometric $k$-method
, 2018 The $k$-method is the isogeometric method based on splines (or NURBS, etc.) with maximum regularity. When implemented following the paradigms of classical finite element methods, the computational resources required by the $k-$method are prohibitive even
Sangalli, Giancarlo, Tani, Mattia
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Refined limiting imbeddings for Sobolev spaces of vector-valued functions
Journal of Functional Analysis, 2005 The authors consider vector-valued Sobolev, Besov, and Triebel-Lizorkin spaces of functions with values in a general Banach space; in general, these spaces may lack the UMD property. The authors prove a refined limiting embedding theorem of the Brézis-Wainger type in the critical case. The main result reads as follows: Theorem 3.
Krbec, M. (Miroslav), Schmeisser, H.-J.
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Several Studies on Framelets Derived From Compactly Supported Refinable Vector Functions
Education and Research Archive, 2021 Generalizing wavelets by adding desired redundancy and flexibility, framelets (a.k.a. wavelet frames) are of interest and importance in many applications such as image processing and numerical algorithms. Several key properties of framelets are high vanishing moments for sparse multi-scale representation, fast framelet transforms for numerical ...
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Surface subdivision schemes generated by refinable bivariate spline function vectors
Applied and Computational Harmonic Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chui, Charles K., Jiang, Qingtang
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Vector cascade algorithms and refinable function vectors in Sobolev spaces
Journal of Approximation Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
core
On stable refinable function vectors with arbitrary support
Journal of Approximation Theory, 2008 This paper studies the stability property of a refinable function vector in the space of \(L^2\) using the transfer operator (also called the transition operator in the literature of wavelets). Generalizing a result of Gundy from scalar refinable functions to refinable function vectors, under conditions such as the existence of a refinable function ...
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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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Site-occupancy factors in the Debye scattering equation. A theoretical discussion on significance and correctness. [PDF]
Acta Crystallogr A Found Adv, 2023 Ferri F +6 more
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