Ryan Boyden edited subsubsection_Genus_text__.tex  over 8 years ago

Commit id: 83bc888634fceceeb0544b9019407ae229d602f8

deletions | additions      

       

\subsubsection{Genus}  text The Genus Statistic assigns a topology to a data map that characterizes spatial information. (It is a difference between the number of isolated features above and below a threshold value--include). For each run, we normalize the integrated intensity map and convolve it with a Normal 2D Gaussian Kernal (of width 1--don't know where to put this, also just writing it to not forget). We generate 100 standardized integrated intensity thresholds over the entire range of values, neglecting the bottom 20 percent (reword!). The Genus Statistic is then computed for each threshold. We fit our arrays of Genus values to cubic splines of equal domain size, and show our outputted curves in Figure 11. Here, intensity thresholds above 4 Kkm/s are not included in the spline. Run W1T2t0.2 has a wider range of intensity values than run W2T2t0 does, but both curves have similar end behavior. Between thresholds of -1 and 1 Kkm/s, the genus statistic is smaller in value for our purely turbulent model than that of our run with feedback.  (not really sure why we convolve the maps to a 2d gaussian)