M. I. Grigor'ev, V. N. Malozemov, A. N. Sergeev, “Bernstein polynomials and composite Bézier curves”, Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 11,Pages <nobr>1962

This article is cited in 5 papers

Bernstein polynomials and composite Bézier curves

M. I. Grigor'ev^a, V. N. Malozemov^a, A. N. Sergeev^b

^a Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, 198504, Russia
^b Engineering and Economical Academy, ul. Marata 27, St. Petersburg, 191002, Russia

Abstract: Analytical principles of the theory of Bézier curves are presented. A new approach to the construction of composite Bézier curves of prescribed smoothness both on a plane and in a multidimensional Euclidean space is proposed.

Key words: Bernstein polynomials, constructing Bézier curves on the basis of Bernstein polynomials, geometric design.

UDC: 519.652.3

Received: 27.04.2006
Revised: 19.06.2006