MATLAB: Extrpoolation not along dimension

extrapolationMATLAB

Hello together,
i have a following simplyfied matrix z with corresponding x and y axis
 z = [3 2 1 1 1 1 1 1; ...
      2 3 2 1 1 1 1 1; ...
      1 2 3 2 1 1 1 1; ...
      1 1 2 3 2 1 1 1; ...
      1 1 1 2 3 2 1 1];
 x = 1:8;
 y = 1:5;
now i want to extrapolate z to the y axis of
 yNew = 1:6;
the extrapolated row in z should obviously shold look like this
 zNew1(6,:) = [1 1 1 1 2 3 2 1]
and not like
 zNew2(6,:) = [1 1 0 1 4 3 1 1]
zNew2 would be the result of an linear extrapolation along the dimension of y.
But obviously the data in z should look extrapolated like zNew1 which would be a diagonal extrapolation.
How can i extrapolate data which is not as simple as this example?
thank you for your help.
Rafael

Best Answer

There is no "obvious" way to extrapolate data - that's why several methods exist to do so.
There is no other way than just specifying a formula. This formula can of course be as complicated as you like - including intelligent algorithms that analyse the structure of your data matrix.
Best wishes
Torsten.
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