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When it helps
By now you're probably wondering whether SynthEyes can give you any kind of usable result at all. Yes! Though there are basically an infinite number of possible local optima, and we're going to give you one of them pretty much at random, the fact is that those results are all usually very very close to one another. And unless you plan to go snooping around looking at that 10th or 12th or something digit of RMS error, you're not going to find any real difference between them.
Here's the caveat that makes the randomness useful: when your tracking data is inconsistent—it has errors—then the different local optimums separate out and have larger differences. Instead of a single mountain peak with some boulders on tops, you can a mountain range with a couple different mountains, some higher or lower than others.
Depending on what happens, you might wind up on one of the lower mountains. In that case, re-running the solve can allow the randomness to move you onto one of the other peaks. You can use the advanced solver settings to increase the randomness for poor scenes, for example by increasing the Refine fuzz value.
To summarize, randomness is usually very small, but when it is not, it is helpful!
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