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Given three points A(X1,y1)B(x2,y2) and C(x3,y3), the curves with A and C as endpoints can be constructed by BEZIER function. If we use HERMITE curve,

Given three points A(X1,y1)B(x2,y2) and C(x3,y3), the curves with A and C as endpoints can be constructed by BEZIER function. If we use HERMITE curve, the direction of AB is the tangent direction of the curve at Point A, and the direction of BC is the tangent direction of the curve at point C. To make the two curves roughly the same (the midpoint is the same), try to derive the magnitude of the two curve vectors (expressed as multiples of AB and BC vectors) that can be used to design the HERMITE curve.

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