Sz. Li et al., ROBUST ESTIMATION OF ROTATION ANGLES FROM IMAGE SEQUENCES USING THE ANNEALING M-ESTIMATOR, Journal of mathematical imaging and vision, 8(2), 1998, pp. 181-192
A robust method is presented for computing rotation angles of image se
quences from a set of corresponding points containing outliers. Assumi
ng known rotation axis, a least-squares (LS) solution are derived to c
ompute the rotation angle from a clean data set of point correspondenc
es. Since clean data is not guaranteed, we introduce a robust solution
, based on the M-estimator, to deal with outliers. Then we present an
enhanced robust algorithm, called the annealing M-estimator (AM-estima
tor), for reliable robust estimation. The AM-estimator has several att
ractive advantages over the traditional M-estimator: By definition, th
e AM-estimator involves neither scale estimator nor free parameters an
d hence avoids instabilities therein. Algorithmically, it uses a deter
ministic annealing technique to approximate the global solution regard
less of the initialization. Experimental results are presented to comp
are the performance of the LS,M-and AM-estimators for the angle estima
tion. Experiments show that in the presence of outliers, the M-estimat
or outperforms the LS estimator and the AM-estimator outperforms the M
-estimator.