TENSION QUARTIC TRIGONOMETRIC BÉZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE

Subject Areas : International Journal of Mathematical Modelling & Computations

Abdellah  Lamnii ¹ (Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco)
Fatima  Oumellal ² ()
Jaoud  Dabounou ³ ()

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: interpolation, Trigonometric B´ezier Curves, Tension Parameter, Shape Parameter,

Abstract :

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