De Casteljau's Algorithm Revisited

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    Abstract

    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.
    Original languageEnglish
    Number of pages8
    Publication statusPublished - 1996

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