  This manuscript provides a new framework for calibration of optical
instruments, in particular mobile cameras, using large-scale circular black and
white target fields. New methods were introduced for (i) matching targets
between images; (ii) adjusting the systematic eccentricity error of target
centers; and (iii) iteratively improving the calibration solution through a
free-network self-calibrating bundle adjustment. It was observed that the
proposed target matching effectively matched circular targets in 270 mobile
phone images from a complete calibration laboratory with robustness to Type II
errors. The proposed eccentricity adjustment, which requires only camera
projective matrices from two views, behaved synonymous to available closed-form
solutions, which require several additional object space target information a
priori. Finally, specifically for the case of the mobile devices, the
calibration parameters obtained using our framework was found superior compared
to in-situ calibration for estimating the 3D reconstructed radius of a
mechanical pipe (approximately 45% improvement).
