Tag: cubic


Help! Getting a “nice” reverse engineered Bézier curve

Commenter Timo wants to know how to get a nice shape for a reverse engineered Bézier curve. The question started from calculating the control points of a cubic Bézier curve if you’re given 4 points that lie on the curve, assuming the first and last given points were also the first and last control points. […]


Linear and cubic interpolation

Interpolation is a method of calculating a value from a set of given values. We’ll be looking at interpolation with a bias towards image processing, but the theory can be generalised for other purposes. You’ve probably already solved some interpolation problems without knowing it. Let me give you an example. A distance problem Suppose there […]


Reverse engineering Bezier curves

My initial contact with Bezier curves came when I was studying 3 dimensional computer graphics. The professor introduced the standard cubic Bezier curve equation, which looks something like this B(t) = (1-t)3p0 + 3(1-t)2tp1 + 3(1-t)t2p2 + t3p3 where p0, p1, p2, p3 are the control points. WARNING: you might find this an intensive discussion […]