this is for holding javascript data
Martin Coath edited section_Methods_For_results_derived__.tex
about 8 years ago
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\section{Methods}
For results derived from monochrome images each pixel is defined by three values; two coordinates $i$ and $j$, the row and column positions of the pixel respectively, and a single value $k$ that is the value of the pixel on the gray-scale from 0 (black) to 1 (white). Images are processed on a pixel-by-pixel basis and the \textsc{skv} value of each pixels is calculated thus:
\begin{enumerate}
\item the number of pixels $m$ corresponding to half the required window size
$n$ $w$ is calculated: $m =
\mathrm{floor}(\frac{n}{2})$ \mathrm{floor}(\frac{w}{2})$
\item
thus $n = 2\cdotm+1$
\item assemble the vector $\vec{k}_{j}$ of values for a horizontal window of $n$ contiguous pixels $k_{[i,j-; i,j+1; i,j+n-1]}$
\item repeat with $\vec{k}_{i}$, a vector of values for a vertical window of $n$ pixels $k_{[i,j; i+1,j; i+n-1,j]}$
\item both vectors are normalized, so they can be treated as distributions, and the Skewness $\gamma$ of each distribution, \textit{i.e.} the asymmetry in the gray-scale values in both direction, is calculated, $\gamma_j$ and $\gamma_i$