TY  - JOUR
T1  - Constrained Data Interpolation using C<sup>2</sup> Rational Cubic Spline
AU - Bin Abdul Karim, Samsul Ariffin 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 23
SP  - 10053
EP  - 10058
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.10053.10058
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.10053.10058
KW  - Interpolation
KW  -schemes
KW  -linear
KW  -established
KW  -robot
KW  -scheme
AB  - Constrained data interpolation is important in many sciences and engineering based disciplines. For instance, the robot path problem always can be considered as constrained data interpolation. Thus, this study the constrained data interpolation using C<sup>2</sup> rational cubic spline with three parameters. The data dependent sufficient condition is derived on one parameter meanwhile the other two parameters can be used to modify the interpolating curve. The unknown first derivatives are calculated by solving tri-diagonal systems of linear equations through Thomas&#39;s algorithm. From all numerical results, it can be concluded that the proposed scheme research very well and on par with some established schemes.
ER  -