Adding additional points to matrix image

Hallo,

I have a matrix called my_data and unfortunately the data points are sparse and they produce the following image:

How can I edit the matrix to produce a smooth curve? I have tried interp2 and pcolor with shading interp but the points are still not jointed.

Here is the code I have found on the Internet and edited to suit my application

[A,B] = meshgrid(1:size(my_data,2), 1:size(my_data,1));
[A2,B2] = meshgrid(1:0.01:size(my_data,2), 1:0.01:size(my_data,1));
interped = interp2(A, B, my_data, A2, B2, 'linear');
imagesc(interped)

[KALYAN ACHARJYA]

It would be increse grid points.

[Thabo Mulambo]

When I increase the grid points I run into memory issues and the computer freezes...