Results 131 to 140 of about 10,513 (148)

Interactive spline approximation

2010
The use of spline basis functions in solving least squares approximation problems is investigated. The question as to which are appropriate basis functions to use is discussed along with the reasons why the final choice was made. The Householder transformation method for solving the fixed knot spline approximation problem is examined.
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Spline approximation method

Computational Mathematics and Mathematical Physics, 2007
A system of relations is presented for determining optimal coefficients for a set consisting of an arbitrary number of smoothly matched cubic polynomial dependences. As an example, the method is used to construct optimal approximating formulas for the viscosity of air in thermochemical equilibrium as a function of enthalpy.
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Spline Approximation Methods

2002
In this chapter we consider such approximation methods where the unknown function is approximated by means of spline functions. The use of splines as approximating functions is quite popular in applications, they appear e.g. in the Finite Element solution of differential equations. Spline approximation methods do not require a uniform mesh. However, in
Jukka Saranen, Gennadi Vainikko
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The Regularized Spline (R-Spline) Method for Function Approximation

Computational Mathematics and Modeling, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitriev, V. I., Ingtem, J. G.
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B-Spline Approximation

2011
This is the second volume of A Manual of Computer Graphics. This textbook/reference is big because the discipline of computer graphics is big. There are simply many topics, techniques, and algorithms to discuss, explain, and illustrate by examples. Because of the large number of pages, the book has been produced in two volumes.
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Practical spline approximation

1982
This two-part paper describes the use of polynomial spline functions for purposes of interpolation and approximation. The emphasis is on practical utility rather than detailed theory. Part I introduces polynomial splines, defines B-splines and treats the representation of splines in terms of B-splines.
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Approximate conversion of spline curves

Computer Aided Geometric Design, 1987
An algorithm is presented that approximates: a) a high degree spline curve by one of lower degree and with more segments, or b) a low degree spline curve by one of higher degree but with more pieces. The curvature of the approximations is studied. The method involved concepts of geometric continuity.
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Approximation by Discrete GB-Splines

Numerical Algorithms, 2001
Discrete generalized splines are continuous piecewise defined functions which meet some smoothness conditions for the first and second divided difference at the knots. They are a generalization both of smooth generalized splines and classic discrete cubic splines. The paper is devoted to the study of generalized splines.
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Approximation. Interpolation, Splines

1994
The problem of approximating a given or a sought function by a function which is in some sense simpler is very frequent in numerical analysis. Usually, the approximating function is a linear combination of a finite number of functions which are given in advance.
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Spline approximation of offset curves

Computer Aided Geometric Design, 1988
By using Bézier-splines and rational Bézier-splines, the author discusses the approximation of offset curves. In order to determine the approximating splines, the author presents algorithms for Bézier- splines with G 1 and G 2-continuity, and for rational Bézier-splines with G 1-continuity. An example illustrates the usefulness of the algorithms.
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