Computing the Exterior Orientation Elements of One-line Scanner Satellitic Imagery By Using Principal Component Estimation

Abstract

The ill\|conditioning often occur on computing the exterior orientation elements of satellite one\|line scanner imagery in space photogrammetry or satellite photogrammetry. If least squares estimation method is used, the true values of the exterior orientation elements of satellite one\|line scanner imagery might not be gotten. In fact, the ill\|conditioning does have an unusually large effect on the LS estimation and can deteriorate results completely. In such a case, we need to further improve the calculation procedures on computing the exterior orientation elements of satellite one\|line scanner imagery by using the recently developed biased estimation theory in modern statistics. To overcome the difficulties caused by ill\|conditioning, first, this paper analyses previous methods of solving this problem. Then, the principal component estimator method is introduced to directly combat ill\|conditioning in computing the exterior orientation elements of satellite one\|line scanner imagery. According to practical situations, the three methods of choosing the biased parameter contained in the principal component estimator is also provided in this paper. Experimental results show that in some cases, the proposed principal component estimator can overcome ill\|conditioning effectively and this method is very steady and effective.