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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Interpolation (G.1.1) > Spline And Piecewise Polynomial Interpolation (G.1.1...)
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1-10 of 25
Reviews about "Spline And Piecewise Polynomial Interpolation (G.1.1...)":
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Spline functions: computational methods
Schumaker L., SIAM, Philadelphia, PA, 2015. 425 pp. Type: Book (978-1-611973-89-1)
The subject of Spline functions has its roots in research conducted during the Second World War by a variety of premier computer scientists including I. J. Schoenberg, D. Greenspan, C. de Boor, G. Fasshauer, J. Jerome, D. Kincai...
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Apr 27 2016 |
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Functional networks for B-spline surface reconstruction
Iglesias A., Echevarría G., Gálvez A. Future Generation Computer Systems 20(8): 1337-1353, 2004. Type: Article
A powerful extension of neural networks, the so-called functional network, has been applied to the surface reconstruction problem. The introduced approach is very general; the data points may come from any kind of surface, and the appr...
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Apr 8 2005 |
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C1 interpolation with cumulative chord cubics
Kozera R., Noakes L. Fundamenta Informaticae 61(3,4): 285-301, 2004. Type: Article
Given a number of points on a smooth regular curve in multidimensional Euclidean space, the authors develop a method for the approximate reconstruction of the curve. Information about the parameterization of the given points with respe...
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Jan 6 2005 |
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"-Quaternion Splines for the Smooth Interpolation of Orientations
Nielson G. IEEE Transactions on Visualization and Computer Graphics 10(2): 224-229, 2004. Type: Article
This paper describes a new method for smoothly interpolating orientation matrices, which can be useful for designing and controlling key frame animations. The technique is based on quaternions, and a particular construction of &ngr...
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Sep 3 2004 |
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 Minimizing the distortion of affine spline motions
Hyun D., Jüttler B., Kim M. Graphical Models 64(2): 128-144, 2002. Type: Article
The subject of this paper is affine spline motion, described by a time-dependent mapping, x -> v(t) + A(t)x, where the elements of the translation vector v(t) and the ma...
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Nov 5 2003 |
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Scattered data interpolation using data dependant optimization techniques
Greiner G., Kolb A., Riepl A. Graphical Models 64(1): 1-18, 2002. Type: Article
The paper proposes a method that uses tensor products of B-splines to interpolate to scattered data (possibly taken from a reverse engineering process) with a certain data dependent optimization technique used to determine free paramet...
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May 30 2003 |
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A real-time scheme of cubic parametric curve interpolations for CNC systems
Bahr B., Xiao X., Krishnan K. Computers in Industry 45(3): 309-317, 2001. Type: Article
The authors claim to describe a modification of the standard forward differencing algorithm for evaluation of points on a cubic parametric curve that avoids cumulative error while employing a computationally nonintensive method for co...
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Sep 3 2002 |
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Two dimensional spline interpolation algorithms
Späth H., A. K. Peters, Ltd., Natick, MA, 1995. Type: Book (9781568810171)
Späth’s very readable treatment of this topic follows his book on one-dimensional spline interpolation [1]. Generally, the development of the methods is given in sufficient detail for computer implementation of the a...
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Dec 1 1996 |
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Exact equations of the nonlinear spline
Edwards J. ACM Transactions on Mathematical Software 18(2): 174-192, 1992. Type: Article
The problem of computing the exact representation of elastica, the solution of the nonlinear spline problem, is addressed. The elastica can be represented by four parameters per interval. The equations satisfied by the interpolating ...
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Jul 1 1994 |
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Piecewise cubic monotone interpolation with assigned slopes
Gasparo M., Morandi R. Computing 46(4): 355-365, 1991. Type: Article
The authors give an algorithm for monotone piecewise cubic interpolation when both function value and derivative (consistent with monotonicity) are prescribed. The interpolation is achieved by partitioning intervals in which the data c...
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Dec 1 1992 |
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