POSITIVITY PRESERVING INTERPOLATION BY USING RATIONAL CUBIC BALL SPLINE

Samsul Ariffin Abdul Karim
2016 Jurnal Teknologi  
This paper discusses the positivity preserving by using rational cubic Ball interpolant of the form cubic/quadratic with two parameters. The sufficient condition for the positivity is derived on one parameter meanwhile the other one is a free parameter to control the final shape of the interpolating curves. The degree smoothness achieved is . From numerical results, the rational cubic Ball spline with two parameters gives smooth interpolating positive curves as well as visually pleasing for
more » ... uter graphics visualization. Furthermore the scheme is better than existing schemes i.e. its easiness to use and less computation. All numerical results are produced by using Mathematica.
doi:10.11113/jt.v78.8107 fatcat:5qmqe2i32jge7ggjnul4k5s6kq