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