Results 121 to 130 of about 20,661 (163)

Interpolation by Bilinear splines

Mathematical Notes of the Academy of Sciences of the USSR, 1990
Let \(\Omega=[0,1]\times[0,1]\) and let \(C^{1,1}_ \omega(\Omega)\) denote a space of bivariate functions with continuous partial derivatives of order one on \(\Omega\) with \(\omega(f;t,\tau)\leq\omega(t,\tau)\). Here, \(\omega(t,\tau)\) denotes a convex modulus of continuity and \(\omega(f;t,\tau)\) stands for the usual modulus of continuity of \(f\).
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Forward Stabilized Spline Interpolation

SIAM Journal on Control and Optimization, 2006
Forward interpolation, as discussed in the article, refers to the problem of interpolating data points revealed, one at a time, in a sequential manner. Forward spline interpolation is an inherently unstable process. The stability does not obtain automatically; it needs to be designed into the process using system theoretic tools.
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Nichtlineare Spline-Interpolation

1999
Die Aufgabe, eine gegebene Menge von Punkten mittels einer wenigstens krummungsstetigen Kurve zu interpolieren, wird oftmals mit weiteren Kriterien wie einer minimalen Energie der Kurve verknupft. Vereinfacht man diesen Ansatz in der mathematischen Modellbildung, so fuhrt dies auf lineare, kubische Spline-Kurven.
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On Hermite interpolation with B-splines

Computer Aided Geometric Design, 1991
An explicit formula for the \(B\)-spline control points for Hermite interpolation is derived using polar forms. The same formula was obtained by \textit{M. S. Mummy} using the Boor-Fix dual functionals [ibid. 6, No. 2, 177-179 (1989; Zbl 0671.65007)].
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Lacunary Interpolation by Quintic Splines

SIAM Journal on Numerical Analysis, 1979
Here we study the quintic splines satisfying certain conditions and show that the convergence is of the same order as that of best approximation by quintic $C^2 $ splines.
Prasad, J., Varma, A. K.
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Spline interpolation with genetic algorithms

Proceedings of 1997 International Conference on Shape Modeling and Applications, 2002
A general framework is set up for the application of genetic algorithms in curve design. Then, within this scheme, the problem of spline interpolation-a frequently used method for representing complex geometrical shapes in CAD/CAM systems-is dealt with. While the method itself is simple and robust, it suffers from the drawback that some parameters must
András Márkus, Gábor Renner, József Váncza   +2 more
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Interpolation with minimal-energy splines

Computer-Aided Design, 1994
A new method for computing minimal-energy splines with prescribed tangents at the endpoints is given that is based on the idea of representing the interpolant as a curve of a piecewise polynomial curvature function. The interpolant is determined by using a cubic-spline interpolation to find an initial approximation and an optimization procedure to ...
Guido Brunnett, Johannes Kiefer
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The B-spline interpolation in visualization

CIT. Journal of computing and information technology, 1999
The volume data is generally in the form of the large array of numbers. In order to render the object hidden in the volumetric data, we need to reconstruct or interpolate data values between the samples. The novelty presented in this paper is B-spline interpolation in the volumetric space.
Mihajlović, Željka, Goluban, Alan
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Spline interpolation

Mathematical Notes of the Academy of Sciences of the USSR, 1979
Malozemov, V. N., Pevnyj, A. B.
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An Algorithm for Spline Interpolation

IMA Journal of Applied Mathematics, 1975
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