I have curve that is displayed by collection of points connected with lines. I have to replace that kind of curve with one cubic bezier curve. I have origin and destination point, but I don't know how to calculate two control points.

Question improved:

I have curve consisting of 4 points (p0, p1, p2 and p3). p0 is origin point and p3 is destination point. p1 and p2 are two point in the middle. If I connect these 4 points I will get 3 lines. I want to replace that 3-line-curve with cubic bezire curve. To get that, I have to calculate positions of two control points of cubic bezier curve. My question is how?
In meantime I found few articles (http://www.moshplant.com/direct-or/bezier/math.html[^]) that describes how to draw cubic bezier curve, so I will try to reverse-engineer these formulas to get control points.

Unclear to say the least. If you only have the origin and the destination point the best you can hope for is a straight line. Please formulate your exact requirments in four or more statements. Thanks for your cooperation!

If you only have the origin and the destination point the best you can hope for is a straight line. Please formulate your exact requirments in four or more statements.

Thanks for your cooperation!