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Weighted Rational Quartic Spline Interpolation

Journal of Information and Computational Science, 2013
The weighted rational quartic spline interpolation has been constructed using two kinds of rational quartic spline with linear denominator in this paper. And the conditions of monotonicity preserving and C 2 continuity have been discussed. In addition to, the problem that constrains the weighted interpolating curves to lie above or below a given ...
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Approximate conversion of rational splines

Computer Aided Geometric Design, 1989
During exchange of data between different geometric modeling systems, approximate conversions of rational Bézier and B-spline curves and surfaces to lower degree integral B-spline representations are required. Accurate such conversions are required in many modeling environments.
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Fine Tuning of Rational B-Spline Motions

Journal of Mechanical Design, 1997
This paper presents two algorithms for fine-tuning rational B-spline motions suitable for Computer Aided Design. The problem of fine-tuning of rational motions is studied as that of fine-tuning rational curves in a projective dual three-space, called the image curves.
Lakshmi N. Srinivasan, Q. Jeffrey Ge
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C3 Rational Quintic Spline

Annals of Pure and Applied Mathematics, 2021
Y.P. Dubey, Jyoti Tiwari, K.K. Nigum
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Low degree rational spline interpolation

BIT Numerical Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Shape preserving rational spline interpolation

1984
A rational cubic function is presented which has shape preserving interpolation properties. It is shown that the rational cubic can be used to construct C2 rational spline interpolants to monotonic or convex sets of data which are defined on a partition x1 < x2 < … < xn of the real interval [x1, xn].
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Rational combinations of targeted cancer therapies: background, advances and challenges

Nature Reviews Drug Discovery, 2022
Haojie Jin, Liqin Wang, Rene Bernards
exaly  

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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