
What you have to know to understand
the estimation of the uncertainty on the viewpoints is that the viewpoints
p
are recovered by minimizing a function
(p).
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In a sufficiently small neighborhood of p*, we may approximate
by means of the first few terms of its Taylor equation :
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where H(p*) is the hessian of
computed at p = p*.
As p* is the minimum of
, the gradient is null at the optimum
so :
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The
indifference region is
then defined by :
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which is the equation of a 6-dimensional ellipsoid. The next figure shows the indifference regions for the translation parameters over a sequence :
