[Algorithms] Curve fitting problem

[Ivan V. <iv...@gm...>]

Hi, guys.

I have a problem that I think has been solved many times,
hope somebody can point me to appropriate technique.

I have an ordered set of points in 2-d space, that represents a curve
(like set of pixels, drawn with pencil in Paint).
I need to build SMOOTH spline that will pass EXACTLY through CERTAIN
of these points (control points) and will pass CLOSE to other points
from the given set.

Any help much appreciated.
Thanks,
Ivan