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Well if you are using python, you can use "cv2.resize()"

subA = cv2.resize(A, (128,128), interpolation = cv2.INTER_AREA)

subA' = cv2.resize(A', (128,128), interpolation = cv2.INTER_AREA)

if both A,A' are same in dimension then both sub-sampled image will have same pixel operation on it