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Closed formula for matrix index mapping

I am given a matrix of integers with width w_g and height h_g filled with values 0 to w_g x h_g - 1 and a local matrix filter with width w_l and height h_l. I want to map each value in the matrix to a corresponding index in the smaller matrix.
For w_g = 9, h_g = 8, w_l = 3 and h_l = 2 the matrix values

Closed formula for matrix index mapping

I am given a matrix of integers with width w_g and height h_g filled with values 0 to w_g x h_g - 1 and a local matrix filter with width w_l and height h_l. I want to map each value in the matrix to a corresponding index in the smaller matrix.
For w_g = 9, h_g = 8, w_l = 3 and h_l = 2 the matrix values