Unbiased estimation and statistical analysis of 3-D rigid motion from two views

K. Kanatani
1993 IEEE Transactions on Pattern Analysis and Machine Intelligence  
The problem of estimating 3-D rigid motion from point correspondences over two views is formulated as nonlinear least-squares optimization, and the statistical behaviors of the errors in the solution are analyzed by introducing a realistic model of noise described in terms of the covariance matrices of "N-vectors." It is shown that the least-squares solution based on the epipolar constraint is statistically biased. The geometry of this bias is described in both quantitative and qualitative
more » ... . Finally, an unbiased estimation scheme is presented, and random number simulations are conducted to observe its effectiveness.
doi:10.1109/34.184773 fatcat:lpcebms4zzb6fdjgrk5rxkmeta