Hi everyone!

Original question:

> (I'll get to the point quickly.) From what I've read, an extra set of 
> simultaneous equations,
> 
>      Sw  = 0 .......... (1)
>      Swx = 0 .......... (2)
>      Swy = 0 .......... (3)
>      (S = summing over w, x, and y, where appropriate)
> 
> are required to fully determine the system of equations that arise in 
> the thin-plate spline problem.
> 
> See:
> http://tinyurl.com/c235w
> 
> or,
> http://www.cs.ucsd.edu/~sjb/pami_tps.pdf (page 3)
> 
> My question is, where do these extra equations come from? Or are they 
> just introduced to fully determine the system - in which case they have 
> no physical meanings.
> 

I posted my orginal question to the moderator, so I'm posting it this 
time to the correct place.

What I would like to know is how the above conditions gurarantee square 
integral second derivatives" (from the bending energy equation I assume).

Thanks,

- Olumide
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