Extrpoolation not along dimension

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

Answer 1

[Torsten]

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.

[Rafael Kübler]

What are those "several methods"?

[Torsten]

Some ways to extrapolate:

- constant extrapolation

- linear extrapolation

- nearest neighbour extrapolation

- quadratic extrapolation

...

See also

https://de.mathworks.com/help/matlab/ref/interp1.html

under the "extrapolation" section.

Best wishes

Torsten.