Fatima Oumellal’s research while affiliated with Faculté des sciences et techniques Résultats and other places

In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation; they are applied to open and closed Hermite interpolation curves. Surface construction utilizing the studied trigonometric Hermite interpolation is explored and several examples obtained by the C1 trigonometric Hermite interpolation surface are given to show the usefulness of this method.

In this work a family of tension trigonometric curves analogous to those of cubic Bézier curves is presented. Some properties of the proposed curves are discussed. We propose an efficient interpolating method based on the tension trigonometric splines with various properties , such as partition of unity, geometric invariance and convex hull property, etc. This new interpolating method is applied to construct curves and surfaces. Moreover, one can adjust the shape of the constructed curves and surfaces locally by changing the tension parameter, the latter is included mainly because of its importance for object visu-alization. To illustrate the performance and the practical value of this model as well as its accuracy and efficiency, we present some modeling examples. Mathematics Subject Classification: 65T40, 65D05, 65D17, 76B45.

The purpose of this paper is to present new trigonometric polynomial blending functions with a tension parameter, which are useful for constructing trigono-metric Bézier curves and can be applied to construct continuous shape preserving interpolation spline curves with shape parameters. In this work we constructed the Trigonometric Bézier 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 surface interpolations. As a direct application we computed the area surrounded by a closed curve.

The purpose of this paper is to present new trigonometric polynomial blending functions with a tension parameter, which are useful for constructing trigono-metric Bézier curves and can be applied to construct continuous shape preserving interpolation spline curves with shape parameters. In this work we constructed the Trigonometric Bézier 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 surface interpolations. As a direct application we computed the area surrounded by a closed curve.

The purpose of this paper is to present new trigonometric polynomial blending functions with a tension parameter, which are useful for constructing trigono-metric Bézier curves and can be applied to construct continuous shape preserving interpolation spline curves with shape parameters. In this work we constructed the Trigonometric Bézier 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 surface interpolations. As a direct application we computed the area surrounded by a closed curve.