Adaptive Truncated Total Least Squares for an Inverse Scattering Problem from Ultrasound TomographyCP3

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.

This presentation is part of Contributed Presentation “CP3 - Contributed session 3

Authors:
Jesse Barlow (The Pennsylvania State University)
Anita Carevic' (University of Split)
Mohamed Almekkaway (The Pennsylvania State University)
Xingzhao Yun (The Pennsylvania State University)
Ivan Slapnicar (University of Split)
Keywords:
born iterative methods, image enhancement, image reconstruction, inverse problems, numerical linear algebra, truncated total least squares