2016 Reports
Semi-convergence of an Iterative Algorithm
An iterative method is introduced for solving noisy, ill-conditioned inverse problems. Analysis of the semi-convergence behavior identifies three error components - iteration error, noise error, and initial guess error. A derived expression explains how the three errors are related to each other relative to the number of iterations. The Standard Tikhonov regularization method is just the first iteration of the iterative method and the derived noise damping filter is a generalization of the Standard Tikhonov filter. The derived filter is a function two parameters, a regularization parameter and the iteration number parameter. The new method is tested on image reconstruction from projections simulated data set.
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Semi-Convergence2.pdf application/pdf 1.24 MB Download File
More About This Work
- Academic Units
- Earth Institute
- Published Here
- February 26, 2016
Notes
This paper was revised on October 20, 2016