In this paper, we propose a method to obtain a constrained approximation of a rational Bézier curve by a polynomial Bézier curve. This problem is reformulated as an approximation problem between two polynomial Bézier curves based on weighted least-squares method, where weight functions ρ(t) = ω(t) and ρ(t) = ω(t) are studied respectively. The efficiency of the proposed method is tested using so...

Very recently Jain et al. [4] proposed generalized integrated Baskakov operators Vn,α(f, x), α > 0 and estimated some approximation properties in simultaneous approximation. In the present paper we establish the rate of convergence of these operators and its Bezier variant, for functions which have derivatives of bounded variation.

We introduce a new color transformation representation based on higher-dimensional Bezier fitting to maintain color consistency across non-linear devices (like commodity printers and displays). Our representation yields more accurate and artifact-free results than existing methods, and is amenable to hardware implementation, thus making it suitable for next generation commodity devices.

In this paper we present an image description model that uses picture description language, and Bezier interpolation. We study 3-type images (represented by closed curves that conserve the critical points), giving modelling techniques, and also the coresponding algorithm. Our goal is to obtain a minimal description Πl-word of the smooth curves that aproximate the initial given curves.