Joint Calibration and Tomography based on Separable Least Squares Approach
Silicon Austria Labs
Most of the existing tomography/reconstruction techniques rely on accurate calibration to reconstruct the features of interest. In several industrial applications, the calibration is typically performed off-line and has to be repeated frequently to counter time varying perturbation caused by aging, varying operating conditions, and so on. In this talk, a novel online joint calibration and tomography based on variable projection (VP) based separable least squares (LS) approach with constraints on linear and non-linear parameters is proposed. The imposition of constraints on the linear parameters improves the estimation accuracy of the ill-posed and under determined tomography problem. The constraints on the non-linear parameters restricts the proposed method from departing far away from the initial guess especially, when a good initial guess is available. Further, few selected results on time of flight acoustic tomography and simultaneous calibration of the acoustic transducer positions using the proposed methodology are presented.