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Cubic Bezier curves

ÀÛ¼ºÀÚ Uploader : mangsteen ÀÛ¼ºÀÏ Upload Date: 2019-01-03º¯°æÀÏ Update Date: 2019-01-06Á¶È¸¼ö View : 269

Type1 Type2
Cubic Bézier curves

P(t) = (1-t)^3*P0 + 3t(1-t)^2*P1 + 3t^2(1-t)*P2 + t^3*P3 (0¡Ât¡Â1)

P0~P3 : Control points, P0 : start point, P3 : end point

Letting the coordinates pf points P0 to P3 as (x0, y0) to (x3, y3) and expressing x coordinate and y coordinate separately, the following is obtained.

Px(t) = (1-t)^3*x0 + 3t(1-t)^2*x1 + 3t^2(1-t)*x2 + t^3*x3 (0¡Ât¡Â1)
Py(t) = (1-t)^3*y0 + 3t(1-t)^2*y1 + 3t^2(1-t)*y2 + t^3*y3 (0¡Ât¡Â1)


¢º Data




¡á Px(t)




¡á Py(t)


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