Results 41 to 50 of about 91 (84)

Multidimensional Interpolatory Subdivision Schemes

, 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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Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations

, 1999
: In this paper we establish linear independence and stability of certain piecewise linear prewavelets over arbitrary bounded triangulations. These prewavelets are natural generalizations of the locally supported element constructed by Kotyczka and ...
Ewald G. Quak, Michael S. Floater
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Compactly supported tight affine spline frames in L 2 (R d )

, 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
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Construction of compactly supported biorthogonal wavelets in L₂(R^s)

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

, 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
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Generalized splines in ℝn and optimal control [PDF]

, 2006
We give a new time-dependent definition of spline curves in ℝn, which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case.
Rodrigues, R.C., Torres, D.F.M.
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Multiresolution Based On Weighted Averages Of The Hat Function I: Linear Reconstruction Techniques

, 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, Ami Harten, Francesc Aràndiga, Francesc Ar Andiga   +3 more
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Piecewise polynomials with different smoothness degrees on polyhedral complexes

, 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
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Bivariate Spline Interpolation with Optimal Approximation Order

Let \Delta be a triangulation of some polygonal domain\Omega ae R 2 and let S r q (\Delta) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to \Delta. We present a Hermite type interpolation scheme for S
G. Nürnberger, F. Zeilfelder, O. Davydov   +2 more
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Characterizations of Linear Independence and Stability of the Shifts of a Univariate Refinable Function in Terms of Its Refinement Mask

, 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
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