Surface Visualization Using Rational Bi-Quadratic Spline FunctionS

A rational quadratic spline function [Sarfraz, M. (1993), Monotonocity preserving interpolation with tension control using quadratic by linear functions, Journal of Scientific Research, Vol. 22 (1), 1-12 ] has been extended to a rational bi-quadratic spline function. Simple data dependent constraints are derived on the free parameters in the description of rational bi-quadratic spline function to preserve the shape of 3D data. The developed scheme is economical to compute and visually pleasant, it also gives the extra freedom to the user to refine the shape of the surface as desired. Further data dependent constraints are also derived on the free parameters to preserve the shape of data that lies above the plane.

Autorentext

I AM SERVING AS A LECTURER IN MATHEMATICS IN UNIVERSITY OF WAH,WAH CANTT FROM LAST THREE YEARS.I HAVE COMPLETED MY BS(4YEARS)AND MS(2YEARS)IN MATHEMATICS FROM UNIVERSITY OF THE PUNJAB, LAHORE IN 2006 & 2008 RESPECTIVELY. I HAVE ONE PUBLICATION IN "INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS"MY RESEARCH IS BASED ON SPLINE FUNCTIONS