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Hello,

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)?

edited Feb 24 2011 at 12:44

Tim van Beek
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asked Feb 24 2011 at 6:54

Iulian Serbanoiu
37●4

	"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 2011 at 12:45
	I checked en.wikipedia.org/wiki/Smoot carefully but I fail to see the relevance :-) – Neil Strickland Feb 24 2011 at 13:36

John D. Cook · Accepted Answer · 2011-02-24 13:50:39Z UTC

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

answered Feb 24 2011 at 13:50

John D. Cook
2,029●16●37

Thank you for the explanation! Nice blog. – Iulian Serbanoiu Feb 24 2011 at 14:53

Cubic spline smooting question

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