Tension Quartic Trigonometric Bézier Curves Preserving Interpolation Curves Shape

In this paper simple quartic trigonometric polynomial blending functions, with a tension parameter, are presented. These type of functions are useful for constructing trigonometric B´ezier curves and surfaces, they can be applied to construct continuous shape preserving interpolation spline curves with shape parameters. To better visualize objects and graphics a tension parameter is included. In this work we constructed the Trigonometric B´ezier curves followed by a construction of the shape preserving interpolation spline curves with local shape parameters and finally several numerical examples are presented such as open shape preserving interpolation curve, closed shape preserving interpolation curve and surfaces. As a direct application we computed the area surrounded by a closed curve.