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The Scientific World Journal
Volume 2014, Article ID 602453, 14 pages
Research Article

Monotone Data Visualization Using Rational Trigonometric Spline Interpolation

1National University of Computer and Emerging Sciences, Lahore, Pakistan
2Department of Mathematics, Lahore College for Women University, Lahore 54600, Pakistan
3Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan

Received 3 January 2014; Accepted 5 February 2014; Published 3 April 2014

Academic Editors: A. Bellouquid and A. A. Elsadany

Copyright © 2014 Farheen Ibraheem et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch. The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions. The remaining parameters are kept free to modify the shape of curve and surface if required. The developed algorithm is verified mathematically and demonstrated graphically.