Issue No. 10 - October (2005 vol. 27)
We present a family of "normal” distributions over a matrix group together with a simple method for estimating its parameters. In particular, the mean of a set of elements can be calculated. The approach is applied to planar projective homographies, showing that using priors defined in this way improves object recognition.
Index Terms- Homography, lie groups, normal distribution, Bayesian statistics, geodesics.
M. Werman and E. Begelfor, "How to Put Probabilities on Homographies," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 27, no. , pp. 1666-1670, 2005.