Results 251 to 260 of about 25,855 (295)

TURBS—Topologically Unrestricted Rational B-Splines

Constructive Approximation, 1997
The author develops a theory of tensor B-splines that may be used to represent surfaces of arbitrary genus. The main problem encountered here is that by subdividing a surface of genus \(\neq 0\) one must by necessity have vertices where \(n\neq 4\) surface patches come together.
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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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Shape preserving $$\alpha$$-fractal rational cubic splines

Calcolo, 2020
Univariate polynomials, rational functions, splines and, in particular, cubic splines are all very helpful for interpolation and other approximants in one dimension. Also, rational functions formed from cubic and quadratic polynomials are useful, and a particular interest lies in recovering properties of data such as boundedness, monotonicity etc.
N. Balasubramani, M. Guru Prem Prasad, S. Natesan   +2 more
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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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Modeling with rational biquadratic splines

Computer-Aided Design, 2011
We develop a rational biquadratic G 1 analogue of the non-uniform C 1 B-spline paradigm. These G 1 splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, and combine them into one smoothly-connected structure. This enables a design process that starts with basic shapes, re-represents them in spline form and uses ...
Kȩstutis Karčiauskas, Jörg Peters
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Monotone linear rational spline interpolation

Computer Aided Geometric Design, 1992
A method for interpolating a monotone data sequence (values and derivatives) with a \(C^ 1\) monotone linear rational \(B\)-spline (LRBS) is presented, with some test results. The LRBS accepts any set of monotonic data with compatible derivatives but it cannot handle zero slope which is undesirable in curve parametrization anyway [cf. \textit{J.
Fuhr, Richard D., Kallay, Michael
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Interpolating G1-splines with rational offsets

Computer Aided Geometric Design, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Uniform Rational B-Splines

SAE Technical Paper Series, 1987
<div class="htmlview paragraph">As more and more ME CAD/CAM application programs start using B-splines to represent curves and surfaces, the need is arising for advanced CAD/CAM workstations which can generate realistic images of these curves and surfaces directly from the B-spline description.
James G. Fiasconaro, David S. Maitiand
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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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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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