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Adaptive Truncated Total Least Squares for an Inverse Scattering Problem i

In ultrasound tomography, we need to solve the inverse and the forward model to approximate a scattering function. This inverse scattering problem is constructed and solved using distorted Born iterative (DBI) method. Using the Born approximation (BA) as an initial guess, it solves three sub- problems, the most difficult of which is an inverse problem for the scattering function. Two truncated total least squares algorithms are considered for solving a regularized version of this inverse problem.

born iterative methods, image enhancement, image reconstruction, inverse problems, numerical linear algebra, truncated total least squares

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