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SOME GEOMETRIC PROPERTIES AND OBJECTS RELATED TO BÉZIER CURVES

    https://doi.org/10.1142/9789814277723_0013Cited by:0 (Source: Crossref)
    Abstract:

    Classical Bézier curves (the parabolic case) with the natural barycentric description are considered. The explicit expressions for lenght, curvature, shape etc. are given. It is introduced the notion trajectory of Bézier curve and by means of the projective isotomic conjugation the corresponding envelope conic surfaces in the space are obtained.