Josh Peek edited Furthermore_we_want_to_know__.tex  over 8 years ago

Commit id: 1d680364f850ee0cb2fea4c5b841688118b03d3b

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We use the unsharp mask smoothing radius as a way to measure fiber width. If the fibers are very wide, then if we set the smoothing radius to be very small we should destroy all the features, and see no signal. Since there is more power at larger angular scales, the smoothing radius, acting as a high pass filter, essentially sets the size scale of the fibers we are most sensitive to.   We run a series of tests to measure how the RHT responds to fiber widths. First we run the RHT on the WISE data over a range of smoothing radii (1 - 10) with other parameters fixed. Then we generate a phase-scrambled version of the data, keeping the 2D power spectrum fixed. As we suspect this completely destroys the fibers, but does retain some sense of the orientation of the striation. We then run the same RHT, as a normalization routine. We take {\emph the \textit{the  ratio of the total of their backprojections as a function of smr as some measure of power in fibers at different size scales}.