2
$\begingroup$

Hi,

I'd like to compute the geometric mean of several affine transformations (e.g. represented by 4x4 affine matrices). Going a step back, what's the geometric mean of n 3x3 matrices (with det > 0, basically representing rotations,scaling, shearing but no flips or projections).

I have seen many definitions for pos def. matrices and some work on SO(3) but not for linear or affine transforms.

Improve this question
$\endgroup$
2
  • 1
    $\begingroup$ Going another step back, what does "geometric mean" mean for matrices? $\endgroup$
    – Igor Rivin
    Commented Apr 3, 2012 at 2:00
  • $\begingroup$ Do these matrices live in a nice differentiable manifold? $\endgroup$
    – Suvrit
    Commented Apr 5, 2012 at 20:15

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .