Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: 32, Pages: 1-13
Wan Nurhadani Wan Jaafar1*, Muhammad Abbas2 and Abd Rahni Mt Piah3
1 Institute of Engineering Mathematics, Universiti Malaysia Perlis, Kampus Pauh Putra, Arau - 02600, Perlis, Malaysia; [email protected]
1,3 School of Mathematical Sciences, Universiti Sains Malaysia, Minden - 11800, Pulau Pinang, Malaysia; [email protected]
2 Department of Mathematics, University of Sargodha, Sargodha - 40100, Pakistan; [email protected]
This study deals with the problems of shape preserving curves through positive curves through positive, constrained and convex data. The alternative curve interpolations are developed using a piecewise C2 rational cubic Ball spline function with three shape parameters in each subinterval. Simple data dependent conditions are derived for a single shape parameters to preserve the shape of data while the remaining two shape parameters are free used to modify the positive, constrained and convex curves as desired. Graphical results through different numerical examples are presented to show the effectiveness of the proposed schemes.
Keywords: Ball Function, Constrained, Convexity, Interpolation, Positivity
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