Lecture 7: Intro to Geometry, Splines, and Bezier Curves (105)

ld184

Since we can arbitrarily split bezier curves into piece wise, how do we evaluate how many times do we split until we consider the number of control points "enough"?

Staffjamesfobrien

It is dependent on the application. One common criterion is that if you take a line between p0 and p3 and measure the distance of p1 and p2 from the line, then you can divide until that distance goes below a threshold, then you approximate that part of the curve with the line from p0 to p3.

Since we can arbitrarily split bezier curves into piece wise, how do we evaluate how many times do we split until we consider the number of control points "enough"?

It is dependent on the application. One common criterion is that if you take a line between p0 and p3 and measure the distance of p1 and p2 from the line, then you can divide until that distance goes below a threshold, then you approximate that part of the curve with the line from p0 to p3.