It is demonstrated how all the basic properties of Bezier
curvescan be derived swiftly and efficiently without any reference
tothe Bernstein polynomials and essentially with only
geometricarguments. This is achieved by viewing one step in de
Casteljau'salgorithm as an operator (de Casteljau's operator)
actingon a sequence of points, producing a sequence with one
pointless. The properties of Bezier curves are derived by
analysingde Casteljau's operator.

Number of pages | 8 |
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Publication status | Published - 1996 |
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