Results 41 to 50 of about 86 (82)
Construction of compactly supported biorthogonal wavelets in L<sub>2</sub>(R<sup>s</sup>)
: This paper presents a general construction of compactly supported biorthogonal wavelets in L 2 (IR s ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets of increasing smoothness is provided.
Sherman D. Riemenschneider, Zuowei Shen
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Compactly supported tight affine spline frames in L 2 (R d )
The theory of [RS2] is applied to yield compactly supported tight affine frames (wavelets) in L 2 (IR d ) from box splines. The wavelets obtained are smooth piecewisepolynomials on a simple mesh; furthermore, they exhibit a wealth of symmetries, and ...
Amos Ron, Zuowei Shen
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Approximation From Shift-Invariant Subspaces of ...
: A complete characterization is given of closed shift-invariant subspaces of L 2 (IR d ) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of ...
Amos Ron, Ronald A. Devore, Carl de Boor
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Multidimensional Interpolatory Subdivision Schemes
. This paper presents a general construction of multidimensional interpolatory subdivision schemes. In particular, we provide a concrete method for the construction of bivariate interpolatory subdivision schemes of increasing smoothness by finding an ...
Sherman D. Riemenschneider, Zuowei Shen
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Piecewise polynomials with different smoothness degrees on polyhedral complexes
For a given d-dimensional polyhedral complex △ and a given degree k, we consider the vector space of piecewise polynomial functions on △ of degree at most k with a different smoothness condition on each pair of adjacent d-faces of △.
Sipahi, Neslihan Ös, Altınok, Selma
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Multiresolution Based On Weighted Averages Of The Hat Function I: Linear Reconstruction Techniques
. In this paper we analyze a particular example of the general framework developed in [20]; the case in which the discretization operator is obtained by taking local averages with respect to the hat function.
Rosa Donat +3 more
core
ralized cross validation (GCV), provided that matrix decompositions of size n \Theta n can be carried out, where n is the sample size. We review the randomized trace technique and the backfitting algorithm, and remark that they can be combined to solve ...
Zhen Luo, Grace Wahba
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: Characterizations of the linear independence and stability properties of the integer translates of a compactly supported univariate refinable function in terms of its mask are established.
Amos Ron
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Numerical Differentiation As An Example For Inverse Problems
. We present an error analysis for the numerical differentiation of noisy data via smoothing cubic splines. Our treatment is elementary enough to be included in a course on numerical analysis.
Otmar Scherzer, Martin Hanke
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A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline. [PDF]
Zeybek H, Karakoç SB.
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