Shape preserving fractional order KNR C1 cubic spline
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
2 Faculty of Computing, University Technology Malaysia, Skudai, Malaysia
* e-mail: firstname.lastname@example.org
Accepted: 16 April 2019
Published online: 8 July 2019
In the field of computer graphics, spline curves and surfaces are playing a vital role. In fact, they are known as standard tools for computer graphics. Due to this reason, much work has been done in this field and is still going on. This research adopted a novel technique, called Caputo fractional derivatives, to find all unknowns that appear in a spline cubic polynomial. This new method of finding unknowns could be an important technique in the cases where one does not need a curve to be C2. The fractional derivative technique can further be applied on other kinds of spline curves. Our technique provides an alternate impressive approach to develop piecewise cubic spline polynomials for shape preservation. These polynomials are C1 continuous in nature.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019