Monotone piecewise rational cubic interpolation

Authors:
Malik Zawwar Hussain;Muhammad Sarfraz
Affiliations:
Department of Mathematics, University of the Punjab, Lahore, Pakistan;Department of Information and Computer Science, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Venue:
International Journal of Computer Mathematics
Year:
2009

Citing 4
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Abstract

We present a C1 interpolating scheme to deal with the problem of monotonicity (that is when data is monotone, the interpolant should also preserve the monotonicity). The scheme uses piecewise rational cubic function, in a most general form which involves four free parameters in its description in each interval. We derive data dependent sufficient conditions on these parameters which ensure the monotonicity of monotone data. These parameters are also used to provide freedom to the user to refine the appearance of the curves interactively.