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On de Casteljau’s algorithm. (English) Zbl 0997.65017

Summary: Within the last 20 years de Casteljau’s algorithms became a fundamental tool in computer aided geometric design. 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 Casteljau’s powerful and worldwide used method. It also includes simple proofs.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65-03 History of numerical analysis
01A60 History of mathematics in the 20th century
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