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Interpolating cubic Bezier curve

Given points A, B, C, and D, it computes points B' and C', such that the cubic Bezier curve defined by the control polygon (A.B',C',D) interpolates A, B, C, and D.

B'= ( -15A + 54B - 27C + 6D ) / 18 and C'= ( -15D + 54C - 27B + 6A ) / 18

Built by Jarek Rossignac with Processing. Source code: actions geo2D menu