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### Image preprocessing  The only preprocessing step used is convolving the image with a \((2n+1)\times(2n+1)\) kernel where the center element is \(1/(n+1)\) and the k-th layer surrounding the center is made up of values \(^1/_{(8k\cdot(n+1))}\). \(^1/{(8k\cdot(n+1))}\).  For example, when n=1 the kernel would be \[  \left( \begin{array}{ccc}  ^1/_{16} & ^1/_{16} & ^1/_{16}\\\\