Martin Coath edited Figure_ref_fig_gaborfine_shows__.tex  about 8 years ago

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Figure~\ref{fig:gaborfine} shows four Gabor patches with double the spatial frequency of Figure~\ref{fig:gaborcoarse}, i.e. 40 cycles per frame, and the resulting \textsc{skv} representation at two window sizes in the same way. The \textsc{skv}$_{50}$ in Figure~\ref{fig:gaborfine}(b) shows a result which is very like the original, the onsets and offsets are close but distinct, so there is again evidence of the frequency doubling.   However the \textsc{skv}$_{10}$ in Figure~\ref{fig:gaborfine}(c) produces results which need to be considered carefully. For the 0$^\circ$ and 90$^\circ$ patches the ripples of the Gabor extend far enough in the direction of calculation to appear as large features. As a result, each individual ripple exhibits clear onsets and offsets on this scale, and the \textsc{skv}$_{10}$ result separates in to two dark patches representing the beginning and end of each ripple \textit{and} the patch \textit{as a whole}. The 45$^\circ$ and 135$^\circ$ patches have no features that extend in the direction of calculation so they fade almost to nothing. The anomalies in the results which favour features that are extended along the horizontal or vertical axis, but not both can, as was mentioned in the Methods, be easily overcome by employing a more sophisticated variant of the method. However the Gabor patches are not typical of features found in natural images and the anomalies observed in other results are much less striking.