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Martin Coath edited section_Methods_The_abbreviation_textsc__.tex
about 8 years ago
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\section{Methods}
The abbreviation \textsc{skv} when applied to auditory signals was derived from \textbf{SK}ewness over \textbf{V}ariable
time. time, reflecting the measure of asymmetry, the Skewness or third normalized moment, and the technique of varying the time window over which this value was calculated. The simplest form of the algorithm was used for all the results in this paper. For results derived from monochrome images each pixel is defined by three values $i,j,k$ where $i$ and $j$ are the row and column respectively, and $k$ is the value of the pixel on the greyscale 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 assemble the $\vec{k}_{j}$ of values for a window of $n$ pixels $k_{[i,j; i,j+1; i,j+n-1]}$ in the horizontal direction
\item repeat with $\vec{k}_{i}$ of values for a window of $n$ pixels $k_{[i,j; i+1,j; i+n-1,j]}$ vertically