Smearing of the 2-D array can be done by averaging for each array element ower neighbour elements with weights
![](/download/export/ppl-latex-e5261a7e8412ac41e4092859c40a4f70-12165562888081489809.png)
with weights defined by the Gaussian function
![](/download/export/ppl-latex-d1bcbffc0683a93ef2650aa8f6f7e4d9-9556804690783713929.png)
where i, j, m, and n are the pixel indexes, and the Gaussian widths, ?, is also expressed in terms of number of pixels.
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