Bernstein polynomials and composite Bézier curves Authors
Received: 27 April 2006 Accepted: 19 June 2006 DOI:
Cite this article as: Grigor’ev, M.I., Malozemov, V.N. & Sergeev, A.N. Comput. Math. and Math. Phys. (2006) 46: 1872. doi:10.1134/S0965542506110042 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.
Keywords Bernstein polynomials constructing Bézier curves on the basis of Bernstein polynomials geometric design
Original Russian Text © M.I. Grigor’ev, V.N. Malozemov, A.N. Sergeev, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 11, pp. 1962–1971.
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© MAIK “Nauka/Interperiodica” 2006