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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.



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)?

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"approximation-theory" already exists as a tag, "splines" can be viewed as a technique of approximation-theory, therefore I added that tag. – Tim van Beek Feb 24 '11 at 12:45
I checked carefully but I fail to see the relevance :-) – Neil Strickland Feb 24 '11 at 13:36
up vote 1 down vote accepted

Here is a short article explaining the motivation behind using the square of the second derivative.

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Thank you for the explanation! Nice blog. – Iulian Serbanoiu Feb 24 '11 at 14:53

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