Linear interpolation 4x2 matrix

Hi everyone,

I have a 4 by 2 matrix (2 columns and 4 rows), looking like this:

    0.9259    0.9763
    2.5383    2.5090
    0.0424   -0.0161
   -2.8423   -3.0047

By using linear interpolation, I would like to find out the values of all other rows IF the third row is zero.

The top row represents a horizontal distance , the second row represents the a horizontal velocity, the third row represents a vertical distance and the last one a vertical velocity. I want to find out what the horizontal distance, horizontal speed and vertical speed are IF vertical distance is 0 (which is somewhere between 0.0424 and -0.0161 which is why I need to use interpolation).

Apologizes in advance for my poor Matlab programming skills and my English,

Thank you for your help,

Best regards

Michael

Answer 1

[James Tursa]

>> X
X =
                    0.9259                    0.9763
                    2.5383                     2.509
                    0.0424                   -0.0161
                   -2.8423                   -3.0047
>> f = -X(3,1) / (X(3,2) - X(3,1))
f =
         0.724786324786325
>> Y = X(:,1) + f * (X(:,2) - X(:,1))
Y =
         0.962429230769231
          2.51706376068376
                         0
          -2.9600052991453