Results 41 to 50 of about 65 (65)
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
core
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 +2 more
core
On the Approximation Power of Bivariate Splines
, 1996 . We show how to construct stable quasi-interpolation schemes in the bivariate spline spaces S r d (4) with d 3r+2 which achieve optimal approximation order.
Larry L. Schumaker, Ming-jun Lai
core
. A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L 2 (IR) is generalized to the n-dimensional case. Two ways of
Bin Han
core
Arbitrarily Smooth Orthogonal Nonseparable Wavelets in R²
, 1999 . For each r 2 N, we construct a family of bivariate orthogonal wavelets with compact support that are nonseparable and have vanishing moments of order r or less.
Eugene Belogay, Or M, Yang Wang
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Harmonic interpolation based on Radon projections along the sides of regular polygons
Open Mathematics, 2013 Georgieva Irina +4 more
doaj +1 more source
Korovkin-type convergence results for non-positive operators
Open Mathematics, 2010 Nowak Oliver
doaj +1 more source
Scattered Data Interpolation Using C² Supersplines Of Degree Six
, 1995 . We show how C 2 supersplines of degree 6 can be used to interpolate Hermite data at the vertices of a quadrangulation. We also present error bounds which show that our method has full approximation order 7, and compare its efficiency with other C 2
Larry Schumaker, Ming-jun Lai
core
Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
Open Mathematics, 2008 Wafi Abdul, Khatoon Salma
doaj +1 more source