Visualization of Positive and Monotone Data by Rational Quadratic Spline

Authors:
Samsul Ariffin Karim;Malik Zawwar Hussain
Affiliations:
Fundamental and Applied Sciences Department, Universiti Teknologi Petronas, Tronoh, Malaysia 31750;Department of Mathematics, University of Punjab, Lahore, Pakistan
Venue:
IVIC '09 Proceedings of the 1st International Visual Informatics Conference on Visual Informatics: Bridging Research and Practice
Year:
2009

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Abstract

A curve interpolation scheme based on piecewise rational quadratic spline is discussed. To preserve the shape of the data, the constraints are made on the free parameters r i , in the description of rational quadratic interpolant. We examine the positivity and/or monotonicity preserving of this rational quadratic interpolant to a given data set. The method easy to used and require less computational steps. The degree of smoothness attained is C 1 Some numerical results will be presented.