Smearing of the 2-D array can be done by averaging for each array element ower neighbour elements with weights
Unknown macro: {latex}
\LARGE
( \tilde A_
Unknown macro: {i,j}
= \frac{\sum_
Unknown macro: {m=-N,n=-N}
^
Unknown macro: {N,N}
A_
Unknown macro: {i+m,j+n}
w_{|m|,|n|}}{\sum_
^
Unknown macro: {N,N}
w_{|m|,|n|}}, )
with weights defined by the Gaussian function
Unknown macro: {latex}
\LARGE
( w_
Unknown macro: {|m|,|n|}
(\sigma) = \exp(-\frac
Unknown macro: {m^2+n^2}
Unknown macro: {2sigma^2}
), )
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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