TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE

Authors

Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco

Abstract

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.

Keywords