Closed jbpagliuco closed 7 years ago
@jonthaler What's the formula for the second moment for an image?
The second moment, x2, is the mean of the square of the deviation of a set of numbers, {xi}, from their mean, xav.
That is, x2 = Sum((xi-xav)2)/N. To avoid scanning over the data twice, it can be rewritten, using xav =Sum(xi)/N, as x2 = Sum(xi2)/N - (Sum(xi))/N)2. However this is more susceptible to numerical errors when x2 << xav2.
You want to display the standard deviation (usually denoted by greek sigma) which is Sqrt(x2).
Jon
On May 15, 2017, at 12:54, Joe Pagliuco notifications@github.com wrote:
@jonthaler https://github.com/jonthaler What's the formula for the second moment for an image?
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Make sure noise and average pixel output the correct values