Cp. Lu et al., ONLINE COMPUTATION OF EXTERIOR ORIENTATION WITH APPLICATION TO HAND-EYE CALIBRATION, Mathematical and computer modelling, 24(5-6), 1996, pp. 121-143
Computation of the relative position and orientation between a camera
and an observed object from a single image is a central problem in com
puter vision. Although many solution methods have been proposed, sever
al problems remain. Analytical methods do not take into account the is
sue of noise. Nonlinear least-squares methods depend critically on goo
d initialization. Linear least-squares methods tend to be very sensiti
ve to noise and outliers. These shortcomings limit their use in modern
computer vision applications. In this article, we formulate a new lea
st squares objective function that leads to a good initialization sche
me based on weak-perspective projection, as well as a robust and effic
ient descent algorithm using absolute orientation. The new method comb
ines model-based parameter search and data-driven backprojection which
, unlike most existing methods, minimizes 3-D object space error rathe
r than 2-D image error. Extensive experiments on simulated data indica
te that the new method outperforms commonly used least squares methods
under most conditions, Its performance as a kernel in the inner loop
of a robust M-estimate algorithm for outlier rejections is also studie
d. We demonstrate the use of this method in the context of hand-eye ca
libration.