Hi -
(I'll get to the point quickly.) From what I've read, an extra set of
simultaneous equations,
Σw = 0 .......... (1)
Σwx = 0 .......... (2)
Σwy = 0 .......... (3)
(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://www.cs.ucsd.edu/Dienst/UI/2.0/ShowPage/ncstrl.ucsd_cse/CS2003-...
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.
Thanks,
- Olumide
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