Computational Mathematics and Mathematical Physics

, Volume 46, Issue 11, pp 1872–1881 | Cite as

Bernstein polynomials and composite Bézier curves

  • M. I. Grigor’ev
  • V. N. Malozemov
  • A. N. Sergeev
Article

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 

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Copyright information

© MAIK “Nauka/Interperiodica” 2006

Authors and Affiliations

  • M. I. Grigor’ev
    • 1
  • V. N. Malozemov
    • 1
  • A. N. Sergeev
    • 2
  1. 1.Faculty of Mathematics and MechanicsSt. Petersburg State UniversityPetrodvoretsRussia
  2. 2.Engineering and Economical AcademySt. PetersburgRussia

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