I came across this link when searching for an algorithm for spline smoothing. Though I understand basically what I have to do, I need further clarifications on the formula chosen for curvature quantification (the next formula after "To quantify the curvature we integrate the square of the second derivative").

Also any other examples, links are welcome.

Thanks,

Iulian

PS: I have an engineer background but I understand some math.

PS2: Since I am a new user, could you create 'spline' and 'curvature' tags (or tag this more appropriately)?