I have a spatial data on a regular grid. (50x50 matrix containing values of heights in meters). How to code moving average operator to smooth the spatial data. With and without overlapping

For example: if I have original 4X4 matrix. After applying moving window operator with size [2x2] then output matrix will be 2x2.

Answer 1

[Image Analyst]

For overlapping:

windowWidth = 4; % or 2, but usually it's an odd number
kernel = ones(windowWidth)/windowWidth^2;
output = conv2(double(grayImage), kernel, 'same');
imshow(output, []);

For non-overlapping, see my attached blockproc demos.