Results 41 to 50 of about 626,115 (180)

The EH Interpolation Spline and Its Approximation

open access: yesAbstract and Applied Analysis, 2014
A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite ...
Jin Xie, Xiaoyan Liu
doaj   +1 more source

Volume reconstruction based on the six-direction cubic box-spline

open access: yesGraphical Models, 2023
We propose a new volume reconstruction technique based on the six-direction cubic box-spline M6. M6 is C1 continuous and possesses an approximation order of three, the same as that of the tri-quadratic B-spline but with much lower degree. In fact, M6 has
Hyunjun Kim, Minho Kim
doaj   +1 more source

Multidimensional Additive Spline Approximation [PDF]

open access: yesSIAM Journal on Scientific and Statistical Computing, 1983
We describe an adaptive procedure that approximates a function of many variables by a sum of (univariate) spline functions $s_m $ of selected linear combinations $a_m \cdot x$ of the coordinates \[ \phi (x) = \sum_{1 \leqq m \leqq M} {s_m ( a_m \cdot x)}.
Friedman, Jerome H.   +2 more
openaire   +1 more source

Neutrosophication of Neutrosophic B-Spline Curve Approximation Model [PDF]

open access: yesNeutrosophic Sets and Systems
The neutrosophication process involves transforming crisp input value into neutrosophic value. It is a primary and crucial step for the operations within a neutrosophic set and system.
Siti Nur Idara Rosli   +1 more
doaj   +1 more source

On smoothing problems with one additional equality condition

open access: yesMathematical Modelling and Analysis, 2009
Two problems of approximation in Hilbert spaces are considered with one additional equality condition: the smoothing problem with a weight and the smoothing problem with an obstacle.
Svetlana Asmuss, Natalia Budkina
doaj   +1 more source

Approximation of splines in Wasserstein spaces

open access: yesESAIM: Control, Optimisation and Calculus of Variations
This paper investigates a time discrete variational model for splines in Wasserstein spaces to interpolate probability measures. Cubic splines in Euclidean space are known to minimize the integrated squared acceleration subject to a set of interpolation constraints.
Jorge Justiniano   +2 more
openaire   +3 more sources

B-spline neural network based single-carrier frequency domain equalisation for Hammerstein channels [PDF]

open access: yes, 2014
A practical single-carrier (SC) block transmission with frequency domain equalisation (FDE) system can generally be modelled by the Hammerstein system that includes the nonlinear distortion effects of the high power amplifier (HPA) at transmitter.
Hong, Xia, Chen, Sheng, Harris, Chris J.
core   +2 more sources

The degree of approximation by Chebyshevian splines [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
This paper studies the connections between the smoothness of a function and its degree of approximation by Chebyshevian splines. This is accomplished by proving companion direct and inverse theorems which give a characterization of smoothness in terms of degree of approximation. A determination of the saturation properties is included.
DeVore, R., Richards, F.
openaire   +2 more sources

On Convex Approximation by Quadratic Splines

open access: yesJournal of Approximation Theory, 1996
This note is devoted to giving a short and constructive proof for the existence of a \(C^1\) convex quadratic spline with \(n\) equidistant knots which approximates a convex function \(f\in C[0,1]\) at the order \(\omega_3(f,1/n)\). This improves a result due to \textit{Y. K. Hu} [J. Approximation Theory 74, No.
Ivanov, Kamen G., Popov, Boyan
openaire   +1 more source

End conditions for improved cubic spline derivative approximations [PDF]

open access: yes, 1980
We consider the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots.
Papamichael, N.   +3 more
core   +1 more source

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