Results 191 to 200 of about 3,176 (221)

Rational spline functions

2001
The refinement partition techniques are very effective in finite element methods and computer-aided geometric designs. However, the introduction of refinement partition may cause some inconvenience. We will discuss rational spline functions, especially the theory and methods of locally supported bivariate rational spline functions.
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Spline conversion for trimmed rational Bézier- and B-spline surfaces

Computer-Aided Design, 1990
Abstract Conversion methods are required for the exchange of data. First a given rational B-spline surface with curved boundaries will be segmented by curvature oriented arguments, then these patches will be converted into bicubic or biquintic integral Bezier patches with help of geometric continuity conditions.
Josef Hoschek, Franz-Josef Schneider
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Positive interpolation with rational splines

BIT, 1989
The second author and \textit{W. Hess} [Positive interpolation with rational quadratic splines, Computing 38, 261-267 (1987)] have given a necessary and sufficient condition according to which the property of positivity carries from the data set to rational quadratic spline interpolants of a special form.
Sakai, M., Schmidt, Jochen W.
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On interpolating multivariate rational splines

Applied Numerical Mathematics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Renhong, Tan, Jieqing
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Rational B-splines

1991
We give an introduction to rational B-splines together with a critical evaluation of their potential for industrial applications.
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Multiple-knot and rational cubic beta-splines

ACM Transactions on Graphics, 1989
Goodman (Properties of Beta-splines. J. Approx. Theory 44 , 2 (June 1985), 132-153) gave an explicit formula for cubic Beta-splines on a uniform knot sequence with varying β1 and β2 values at the knots. We establish an alternative explicit formula for cubic Beta-splines on a nonuniform knot sequence with constant β1
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Rational spline histopolation

2015
Väga tihti on andmetöötluseks esitatavad andmed histogrammide kujul, s.t., edasiseks analüüsiks on kasutada mingitel (aja)perioodidel leitud keskväärtused. Enamasti soovitakse, et andmed esituksid pideval kujul ja nende teisendamiseks sellele kujule kasutatakse erinevaid meetodeid.
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Splines, Rational Functions and Neural Networks.

1991
Connections between spline approximation, approximation with rational functions, and feedforward neural networks are studied. The potential improvement in the degree of approximation in going from single to two hidden layer networks is examined. Some results of Birman and Solomjak regarding the degree of approximation achievable when knot positions are
Williamson, Robert C., Bartlett, Peter L.   +1 more
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Approximation by rational spline functions

Calcolo, 2006
The author discusses the reproduction of linear functions by some classes of NURBS functions. The degree of approximation of continuous functions is estimated.
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Rational Bézier and Spline Expressions

1992
Bezier expressions for curves and surfaces are easy to understand and have favorable features for use in CAD and CAM. But they cannot exactly express conics and quadrics such as circles and spheres. By extending the expressions from polynomials to rational forms, we can provide them not only with the ability to express conics and quadrics, but also ...
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