POSITIVITY PRESERVING INTERPOLATION BY USING RATIONAL CUBIC BALL SPLINE

Samsul Ariffin Abdul Karim
<span title="2016-10-31">2016</span> <i title="Penerbit UTM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xgym76lve5dw7bbeqkndyfil2u" style="color: black;">Jurnal Teknologi</a> </i> &nbsp;
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 &raquo; ... 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.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.11113/jt.v78.8107">doi:10.11113/jt.v78.8107</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5qmqe2i32jge7ggjnul4k5s6kq">fatcat:5qmqe2i32jge7ggjnul4k5s6kq</a> </span>
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