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

Autori
Yun, Xingzhao ; He, Jiayu ; CareviĆ, Anita ; SlapniČar, Ivan ; Barlow, Jesse ; Almekkawya, Mohamed

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings Volume 10580, Medical Imaging 2018: Ultrasonic Imaging and Tomography / Duric, Neb ; Byram, Brett C. - Houston (TX) : Society of Photo-Optical Instrumentation Engineers (SPIE), 2018, 10589-10599

ISBN
9781510616493

Skup
Medical Imaging 2018: Ultrasonic Imaging and Tomography

Mjesto i datum
Houston (TX), Sjedinjene Američke Države, 14.02.2018. - 16.02.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Ultrasound tomography, Inverse problem, Truncated total least square, Conjugate gradient least square

Sažetak
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 eld. 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 eld 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 di erent 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo

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