TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE

Abstract

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