Extrapolating corner values in matrix

Hi I am trying to extrapolate the corner values in a 3x3 matrix. I have tried using both the griddata and interp2 function. I plan to be using interp2 to extract values once I have defined the corner values. I have tried defining the corner values as NaN and 0 when using the functions. These are my test data:

V = [[0 2.05 0]', [1.96 1.76 1.88]', [0 1.74 0]'];
T = [1 2 3];
P = [1 2 3];
%attempt = griddata(T, P, V, [1], [1], 'linear');
%attempt2 = interp2(T, P, V, 1, 1); %Obviously these return 0.

How should I define my corners to produce values? Is there some other function I should use? I am currently using version 2007a.

Regards

Answer 1

[John D'Errico]

V = [[NaN 2.05 NaN]', [1.96 1.76 1.88]', [NaN 1.74 NaN]']
V =
                       NaN                      1.96                       NaN
                      2.05                      1.76                      1.74
                       NaN                      1.88                       NaN

Vhat = inpaint_nans(V,2)
Vhat =
                     2.005                      1.96                      1.81
                      2.05                      1.76                      1.74
                     1.965                      1.88                      1.81

inpaint_nans is on the file exchange for download.