On de Casteljauʹs algorithm Original Research Article

Within the last 20 years de Casteljauʹs algorithms became a fundamental tool in CAGD. His idea of control points and his geometric view of polar forms gave an immediate insight to how these tools work and control points are so effective in their applications in car and ship design, in aircraft industry as well as in medical and geological representations. This paper is meant to give some historical remarks and a short introduction to de Casteljauʹs powerful and worldwide used method. It also includes simple proofs.