Data visualization using rational spline interpolation

Authors:
M. Sarfraz;Malik Zawwar Hussain
Affiliations:
Department of Information and Computer Science, King Fahd University of Petroleum and Minerals, KFUPM # 1510, Dhahran 31261, Saudi Arabia;Department of Mathematics, University of The Punjab, Lahore, Pakistan
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 6
Cited 6

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Positivity-preserving interpolation of positive data by rational cubics

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Monotone piecewise rational cubic interpolation

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Technical Section: A blending interpolator with value control and minimal strain energy

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Point control of rational interpolating curves using parameters

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Abstract

A smooth curve interpolation scheme for positive, monotonic, and convex data has been developed. This scheme uses piecewise rational cubic functions. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. The degree of smoothness attained is C^1.