An interesting problem I was working with when designing methods to bin and average our anisotropy data into a grid format stemmed from the fast-axis calculations: the range of the arctan function, and the fact that each trend representing the fast axis orientation can be described by two angles over azimuth range [0,360]. Gabi and I thought through two approaches to this problem. However, because the first approach is best explained by visuals, and the second approach requires a combination of visuals and equations, it's a little unorthodox but the rest of this blog entry will be shown or described in the following figures. Also - this is a work in progress. If you have interesting suggestions or see an error in logic, I'd be happy to hear about it and make adjustments to my current set of calculations (which is based on the geometric explanation below).
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