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  2. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    Let t denote the fraction of progress (from 0 to 1) the point B(t) has made along its traversal from P 0 to P 1. For example, when t=0.25, B(t) is one quarter of the way from point P 0 to P 1. As t varies from 0 to 1, B(t) draws a line from P 0 to P 1.