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Smearing
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of
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the
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2-D
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array
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can
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be
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done
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by
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averaging
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for
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each
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array
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element
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ower
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neighbour
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elements
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with weights
| Wiki Markup |
|---|
weights {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
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weights
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defined
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by
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the
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Gaussian function
| Wiki Markup |
|---|
function {latex}\LARGE \( w_{|m|,|n|}(\sigma) = \exp(-\frac{m^2+n^2}{2\sigma^2}), \) {latex} |
where
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i,
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j,
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m,
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and
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n
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are
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the
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pixel
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indexes,
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and
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the
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Gaussian
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widths,
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?,
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is
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also
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expressed
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in
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terms
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of
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number
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of
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pixels.
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