Reconstruction of ultrasound tomography for cancer detection using total least squares and conjugate gradient method

Xingzhao Yun, Jiayu He, Anita Carevic, Ivan Slapnicar, Jesse Barlow, Mohamed Almekkawy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations


The distorted Born iterative (DBI) method is a powerful approach for solving the inverse scattering problem for ultrasound tomographic imaging. This method iteratively solves the inverse problem for the scattering function and the forward problem for the inhomogeneous Green's function and the total field. Because of the ill-posed system from the inverse problem, regularization methods are needed to obtain a smooth solution. The three methods compared are truncated total least squares (TTLS), conjugate gradient for least squares (CGLS), and Tikhonov regularization. This paper uses numerical simulations to compare these three approaches to regularization in terms of both quality of image reconstruction and speed. Noise from both transmitters and receivers is very common in real applications, and is considered in stimulation as well. The solutions are evaluated by residual error of scattering function of region of interest(ROI), convergence of total field solutions in all iteration steps, and accuracy of estimated Green's functions. By comparing the result of reconstruction quality as well as the computational cost of the three methods under different ultrasound frequency, we prove that TTLS method has the lowest error in solving strongly ill-posed problems. CGLS consumes the shortest computational time but its error is higher than TTLS, but lower than Tikhonov regularization.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2018
Subtitle of host publicationUltrasonic Imaging and Tomography
EditorsNeb Duric, Brett C. Byram
ISBN (Electronic)9781510616493
StatePublished - 2018
EventMedical Imaging 2018: Ultrasonic Imaging and Tomography - Houston, United States
Duration: Feb 13 2018Feb 15 2018

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
ISSN (Print)1605-7422


OtherMedical Imaging 2018: Ultrasonic Imaging and Tomography
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Biomaterials
  • Radiology Nuclear Medicine and imaging


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