Calculate linear interpolation of a vector

Hi, I have this problem that I can't resolve. I have a column vector with a numerical value at the beginning of it and at the end example

X=[4 0 0 0 0 0 0 8]'

I need to calculate all the intermediate value making the average of the two values. Example in the position on the center o the vector it should be (8+4)/2=6

I have tried with a recursive method but I can't resolve it. Is there a simply way to do that?

Answer 1

[Star Strider]

If you actually want to interpolate, this works:

X = [4 0 0 0 0 0 0 8]';
Xnz = X(X ~= 0);                                % Non-Zero Elements
vnz = find(X ~= 0);                             % Indices Of Non-Zero Elements
iv = 1:length(X);                               % Interpolation Vector
Xi = interp1(vnz, Xnz, iv, 'linear')'           % Interpolate To Get Desired Output

Xi =
          4.00
          4.57
          5.14
          5.71
          6.29
          6.86
          7.43
          8.00

Extrapolation isn’t necessary here, but could be if you had zeros at the ends of the vector.

Answer 2

[Matt J]

   xnew=linspace(x(1), x(end), numel(x))

[Nicola Caldognetto]

Thanks! What's numel(x)?

[Matt J]

The (num)ber of (el)ements in x.