  Given an affine transformation $T$, we define its Fisher distortion
$Dist_F(T)$. We show that the Fisher distortion has Riemannian metric structure
and provide an algorithm for finding mean distorting transformation -- namely
-- for a given set $\{T_{i}\}_{i=1}^N$ of affine transformations, find an
affine transformation $T$ that minimize the overall distortion
$\sum_{i=1}^NDist_F^{2}(T^{-1}T_{i}).$ The mean distorting transformation can
be useful in some fields -- in particular, we apply it for rendering affine
panoramas.
