Scientific Data Visualization with Shape Preserving C1 Rational Cubic Interpolation

Malik Zawwar Hussain, Muhammad Sarfraz, Maria Hussain

Abstract

This paper deals with the shape preserving C1 rational cubic interpolation. The developed rational cubic interpolating function has only one free parameter. The approximation order of rational cubic function is investigated and range of optimal error constant is determined. Moreover, positive, constrained and monotone data preserving schemes are developed.

Keywords

Rational cubic; Spline, Peano Kernel theorem; Interpolation, Visualization

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