Results 1 to 10 of about 95,984 (125)

Polynomial spline-approximation of Clarke's model [PDF]

, 2004
We investigate polynomial spline approximation of stationary random processes on a uniform grid applied to Clarke's model of time variations of path amplitudes in multipath fading channels with Doppler scattering. The integral mean square error (MSE) for
Adlard, J F, Tozer, T C, Zakharov, Y V
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Interpolation by Multivariate Splines [PDF]

Mathematics of Computation, 1988
A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.
Chui, Charles K., Diamond, Harvey, Raphael, Louise A.   +2 more
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Bivariate spline interpolation with optimal approximation order [PDF]

, 2001
Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim, A. Zeníšek, C. Boor de, C. Boor de, C. Boor de, C. Coatmélec, C. K. Chui, C. K. Chui, C. K. Chui, D. Hong, F. Jeeawock-Zedek, F. Zeilfelder, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Strang, J. M. Carnicer, J. Morgan, L. L. Schumaker, M. J. Lai, O. Davydov, O. Davydov, O. Davydov, O. Davydov, O. Davydov, P. G. Ciarlet, Z. Sha, Z. Sha   +31 more
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Interpolation by Complex Splines [PDF]

Transactions of the American Mathematical Society, 1978
In this paper we solve the problem of interpolation by certain class of cardinal complex splines. This solution is used to complete the study of cardinal trigonometric splines started in [10] and also to give shorter proofs and to complete the results found for the interpolation problem by complex splines over the unit circle by I. J. Schoenberg [9], J.
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On thin plate spline interpolation

, 2016
We present a simple, PDE-based proof of the result [M. Johnson, 2001] that the error estimates of [J. Duchon, 1978] for thin plate spline interpolation can be improved by $h^{1/2}$.
B.E.J. Dahlberg, E.M. Stein, G. Verchota, H. Triebel, J. Bramble, J. Deny, J. Duchon, J.L. Lions, J.M. Melenk, L. Grasedyck, M. Bebendorf, M. Johnson, M.J. Johnson, R. Schaback, S. Agmon, S. Agmon, S. Börm, V. Adolphsson   +17 more
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Image interpolation using Shearlet based iterative refinement [PDF]

, 2013
This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering, (b) promoting ...
Kutyniok, G., Lakshman, H., Lim, W. -Q, Marpe, D., Schwarz, H., Wiegand, T.   +5 more
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Shape Preserving Spline Interpolation [PDF]

, 1985
A rational spline solution to the problem of shape preserving interpolation is discussed. The rational spline is represented in terms of first derivative values at the knots and provides an alternative to the spline-under-tension.
Gregory, J. A.
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Bivariate hierarchical Hermite spline quasi--interpolation

, 2016
Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficient adaptive approximation scheme in the bivariate setting, we consider ...
Bracco, Cesare, Giannelli, Carlotta, Mazzia, Francesca, Sestini, Alessandra   +3 more
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Transfinite thin plate spline interpolation

, 2009
Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu, A. Bejancu, A. Böttcher, Aurelian Bejancu, D. Apprato, G.H. Golub, G.N. Watson, H. Wendland, J. Duchon, J. Duchon, L.L. Schumaker, M. Nicolesco, M.A. Sabin, O.I. Kounchev, O.I. Kounchev, O.I. Kounchev, R. Arcangéli, T.N.T. Goodman   +17 more
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A statistical gap-filling method to interpolate global monthly surface ocean carbon dioxide data [PDF]

, 2015
We have developed a statistical gap-filling method adapted to the specific coverage and prop-erties of observed fugacity of surface ocean CO2(fCO2). We have used this method to interpolate the Sur-face Ocean CO2Atlas (SOCAT) v2 database on a 2.5832.58 ...
Andrew C. Manning, Are Olsen, Bacastow, Bakker, Barnes, Bates, Bates, Bates, Bates, Boutin, Buitenhuis, Chambers, Chavez, Chierici, Christian Rödenbeck, Corinne Le Quéré, Cosca, Cressman, Dlugokencky, Doney, Dore, Fay, Feely, Friedrich, Friedrich, Gledhill, González-Dávila, Gruber, Gurney, Ishii, Jamet, Jones, Jones, Kalnay, Keeling, Körtzinger, Landschützer, Le Quéré, Le Quéré, Lefèvre, Lefèvre, Lenton, Litt, Lohrenz, Lüger, Madec, Masarie, McKinley, Midorikawa, Mikaloff Fletcher, Moran, Naveira Garabato, Olafsson, Olsen, Olsen, Ono, Park, Park, Pfeil, Resplandy, Rödenbeck, Sarma, Sasse, Schuster, Shadwick, Shim, Steve D. Jones, Takahashi, Takahashi, Takahashi, Takahashi, Telszewski, Valsala, Wanninkhof, Watson, Wong, Zeng, Zhu   +77 more
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