I have an array that has dimensions of 111x46x2. I want to sum the values in the first 3×3 block to become the first value of the next matrix repeating this until the last column is summed together. The dimensions of the new matrix should be 37x16x2.

I could make the dimensions of the original matrix 111x48x2 if that makes the calculations easier and more efficient. The 9×9 blocks will have values only in certain locations such as [ 0 0 #; # 0 0; 0 # 0]; and the last column will have values in each row.

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