"Bald Eagle" <cre### [at] netscapenet> wrote:

> Is there a way to calculate where the control point needs to be given the
> surface coordinate?


Not sure if this gets us anywhere...

https://etd.ohiolink.edu/rws_etd/document/get/wright1190032099/inline
From Page 67:

% determine the size scalar fo
u2size = size(u2,1);
v2size = size(v2,1);
% generate the matrices U and V for the ps
U2 = [u2.^3 u2.^2 u2
V2 = [v2.^3 v2.^2 v2
% control point matrix indices
cmri = j1*4;
cmci = i1*4;
%%%%%%% psuedo-inverse transform
%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%
Pxc(cmri-3:cmri,cmci-3
((inv(B)*pinv(U))*Px*(pinv(V)'*inv(B)
Pyc(cmri-3:cmri,cmci-3:cmci) =
((inv(B)*pinv(U))*Py*(pinv(V)'*inv(B)'));
Pzc(cmri-3:cmr
((inv(B)*pinv(U))*Pz*(pinv(V)'*i
%%%%%

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