Results 41 to 50 of about 86 (82)

Construction of compactly supported biorthogonal wavelets in L<sub>2</sub>(R<sup>s</sup>)

open access: yes, 1997
: 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
core  

Compactly supported tight affine spline frames in L 2 (R d )

open access: yes, 1996
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
core  

Approximation From Shift-Invariant Subspaces of ...

open access: yes, 1991
: 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
core  

Multidimensional Interpolatory Subdivision Schemes

open access: yes, 1996
. 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

open access: yes, 2019
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
core  

Multiresolution Based On Weighted Averages Of The Hat Function I: Linear Reconstruction Techniques

open access: yes, 1993
. 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  

Smoothing Spline ANOVA Fits for Very Large, Nearly Regular Data Sets, with Application to Historical Global Climate Data

open access: yes, 1995
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
core  

Characterizations of Linear Independence and Stability of the Shifts of a Univariate Refinable Function in Terms of Its Refinement Mask

open access: yes, 1992
: 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
core  

Numerical Differentiation As An Example For Inverse Problems

open access: yes, 1998
. 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
core  

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