Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem

Anita Carevia, Xingzhao Yun, Mohamed Khaled Almekkawy

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

Abstract

One of the most powerful approach in ultrasound tomography (UT) is making use of distorted Born iterative (DBI) method to reconstruct high quality image in order to help locate and identify tumors more precisely. Due to its iterative nature, it begins with Born approximation as the initial guess. Then, it makes use of the inhomogeneous Greens function, as the kernel function, to alternatively calculate the total field for the forward problem and the scattering function for the inverse problem. One principal computational problem involved is that inverse problem is ill-posed, which will result in divergence of the DBI method if inappropriate regularization is used. This paper presents the regularization with truncated total least square (TTLS) where the adaptive algorithm is used to choose the regularization parameter in each iteration of DBI instead of using a fixed truncated value in all the iterations. In order to prevent the solution from being contaminated by noise, adaptive algorithm truncates the smallest singular values while minimizing the loss of signal obtained from transducers. Numerical simulations demonstrate that the proposed adaptive algorithm in conjunction with TTLS outperform TTLS with fixed truncation parameter by effectively reducing the noise and minimizing the relative error.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2019
Subtitle of host publicationUltrasonic Imaging and Tomography
EditorsBrett C. Byram, Nicole V. Ruiter
PublisherSPIE
ISBN (Electronic)9781510625570
DOIs
StatePublished - Jan 1 2019
EventMedical Imaging 2019: Ultrasonic Imaging and Tomography - San Diego, United States
Duration: Feb 17 2019Feb 18 2019

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume10955
ISSN (Print)1605-7422

Conference

ConferenceMedical Imaging 2019: Ultrasonic Imaging and Tomography
CountryUnited States
CitySan Diego
Period2/17/192/18/19

Fingerprint

inverse scattering
Adaptive algorithms
Iterative methods
Least-Squares Analysis
Ultrasonics
Scattering
Inverse problems
iteration
Noise
Born approximation
kernel functions
scattering functions
Transducers
Green's function
Image quality
Tomography
Tumors
divergence
transducers
Green's functions

All Science Journal Classification (ASJC) codes

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

Cite this

Carevia, A., Yun, X., & Almekkawy, M. K. (2019). Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem. In B. C. Byram, & N. V. Ruiter (Eds.), Medical Imaging 2019: Ultrasonic Imaging and Tomography [1095515] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 10955). SPIE. https://doi.org/10.1117/12.2512416
Carevia, Anita ; Yun, Xingzhao ; Almekkawy, Mohamed Khaled. / Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem. Medical Imaging 2019: Ultrasonic Imaging and Tomography. editor / Brett C. Byram ; Nicole V. Ruiter. SPIE, 2019. (Progress in Biomedical Optics and Imaging - Proceedings of SPIE).
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Carevia, A, Yun, X & Almekkawy, MK 2019, Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem. in BC Byram & NV Ruiter (eds), Medical Imaging 2019: Ultrasonic Imaging and Tomography., 1095515, Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 10955, SPIE, Medical Imaging 2019: Ultrasonic Imaging and Tomography, San Diego, United States, 2/17/19. https://doi.org/10.1117/12.2512416

Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem. / Carevia, Anita; Yun, Xingzhao; Almekkawy, Mohamed Khaled.

Medical Imaging 2019: Ultrasonic Imaging and Tomography. ed. / Brett C. Byram; Nicole V. Ruiter. SPIE, 2019. 1095515 (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 10955).

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

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Carevia A, Yun X, Almekkawy MK. Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem. In Byram BC, Ruiter NV, editors, Medical Imaging 2019: Ultrasonic Imaging and Tomography. SPIE. 2019. 1095515. (Progress in Biomedical Optics and Imaging - Proceedings of SPIE). https://doi.org/10.1117/12.2512416