Application of l1 Regularization for High-Quality Reconstruction of Ultrasound Tomography

  • Tan Tran-Duc
  • Nguyen Linh-Trung
  • Michael L. Oelze
  • Minh N. Do
Part of the IFMBE Proceedings book series (IFMBE, volume 49)

Abstract

Ultrasound tomography based on inverse scattering has the capability to resolve structures which are smaller than the wavelength of the incident wave, as opposed to conventional ultrasound imaging using echo method. Some material properties such as sound contrast are very useful to detect small objects. Born Iterative Method (BIM) based on first-order Born approximation has been introduced as an efficient diffraction tomography approach. However, this method has a high complexity because it has to solve large iterative forward and inverse problems. In this paper, we propose to replace Tikhonov regularization by l 1-regularized least squares problem (LSP) in solving the inverse problem in BIM. As a result, the quality of reconstruction is improved and the complexity is reduced.

Keywords

Ultrasound tomography inverse scattering Born Iterative Method Tikhonov regularization 

Copyright information

© IFMBE 2013

Authors and Affiliations

  • Tan Tran-Duc
    • 1
  • Nguyen Linh-Trung
    • 1
  • Michael L. Oelze
    • 2
  • Minh N. Do
    • 2
  1. 1.Fac. Electronics & TelecommunicationsVNU University of Engineering & TechnologyHanoiVietnam
  2. 2.Dept. Electrical & Computer EngineeringUniversity of Illinois at Urbana-ChampaignUrbana-ChampaignUSA

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