Results 171 to 180 of about 9,001 (205)

Natural Cubic and Bicubic Spline Interpolation

SIAM Journal on Numerical Analysis, 1973
An alternate proof is presented of Kershaw’s result that the $L_\infty $-norm of the error in natural spline interpolation to a function $f \in C^4 [a,b]$ is $O(h^4 )$ in a closed subinterval which is asymptotic to $[a,b]$ as $h \to 0$. The case $f \in C^m [a,b],m = 2$ or 3, is also considered.
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Uniform convergence of interpolation by cubic splines

Computing, 1982
For a sequence of meshes on [0, 1] sufficient conditions are given to obtain uniform convergence of cubic spline interpolants for continous functions respectively for the third derivatives of cubic spline interpolants for functions fromC3 [0, 1].
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B2-splines: a local representation for cubic spline interpolation

The Visual Computer, 1987
The cubic B-spline representation provides the local interaction properties and the sufficient order of continuity required in free-form curve and surface modelling in CAD. Basic problems are nevertheless encountered when applying B-splines to interpolation, where they have global behavior.
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Local Convergence of Smooth Cubic Spline Interpolates

SIAM Journal on Numerical Analysis, 1972
In this paper we develop local error bounds for smooth cubic spline interpolates of a function f which depend only on the local smoothness of f. Moreover, the rate of convergence will be the same as if f possessed this degree of smoothness over the entire interval.
Kammerer, W. J., Reddien, G. W. jun.
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Errors in cubic spline interpolation

Journal of Engineering Mathematics, 1969
This paper deals with the problem of finding error bounds for cubic spline interpolation of functions of the classC 4[a, b], andC 5[a, b], by examining a relationship between cubic spline interpolation and piecewise cubic Hermitian interpolation. The method also gives an indication of what happens, in the case of almost uniform meshes, especially if ...
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On the Convergence of Cubic Interpolating Splines

1973
Given n ≥ 2, a partition Δn = {0 = xo < x1 < ... < xn =1} of [0,1], and a function f ∈ C[0,1] = {g ∈ C[0,1]: g(0) = g(1)}, let Pnf be the periodic cubic spline interpolating f at {xi} o n . (For a precise definition of Pnf, see §2). The following question has received considerable attention recently (see e.g., [1 – 4, 6 – 9, 11 – 12] and references ...
Tom Lyche, Larry L. Schumaker
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Discrete cubic spline interpolation

BIT, 1976
Defining equations, a best approximation property, and error bounds are given for a discrete cubic spline interpolant. Furthermore the distance between two cubic spline interpolants is estimated, and numerical examples are provided.
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Interpolating Cubic Splines

Journal of the American Statistical Association, 2002
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Application of cubic spline interpolation with optimal spatial sampling for damage identification

Structural Control and Health Monitoring, 2022
Leonardo Pedroso, J V Araujo Dos Santos, H Lopes   +2 more
exaly  

Temporal super-resolution of 2D/3D echocardiography using cubic B-spline interpolation

Biomedical Signal Processing and Control, 2020
Mohammad Jalali, Hamid Behnam, Maryam Shojaeifard   +2 more
exaly