TR2021-013

High-Contrast Reflection Tomography with Total-Variation Constraints


    •  Kadu, A., Mansour, H., Boufounos, P.T., "High-Contrast Reflection Tomography with Total-Variation Constraints", IEEE Transactions on Computational Imaging, March 2021.
      BibTeX TR2021-013 PDF
      • @article{Kadu2021mar,
      • author = {Kadu, Ajinkya and Mansour, Hassan and Boufounos, Petros T.},
      • title = {High-Contrast Reflection Tomography with Total-Variation Constraints},
      • journal = {IEEE Transactions on Computational Imaging},
      • year = 2021,
      • month = mar,
      • url = {https://www.merl.com/publications/TR2021-013}
      • }
  • MERL Contacts:
  • Research Areas:

    Computational Sensing, Optimization, Signal Processing

Abstract:

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects that commonly occurs in ground-penetrating radar, exploration geophysics, terahertz imaging, ultrasound, and electron microscopy. Unlike conventional transmission tomography, the reflection regime is severely ill-posed since the measured wavefields contain far less spatial frequency information of the target object. We propose a constrained incremental frequency inversion framework that requires no side information from a background model of the object. Our framework solves a sequence of regularized least-squares subproblems that ensure consistency with the measured scattered wavefield while imposing total variation and non-negativity constraints. We propose a proximal Quasi-Newton method to solve the resulting subproblem and devise an automatic parameter selection routine to determine the constraint of each subproblem. We validate the performance of our approach on synthetic low-resolution phantoms and with a mismatched forward model test on a high-resolution phantom.

 

  • Related Publication

  •  Kadu, A., Mansour, H., Boufounos, P.T., "High-Contrast Limited-Angle Reflection Tomography", arXiv, May 2020.
    BibTeX arXiv
    • @article{Kadu2020may,
    • author = {Kadu, Ajinkya and Mansour, Hassan and Boufounos, Petros T.},
    • title = {High-Contrast Limited-Angle Reflection Tomography},
    • journal = {arXiv},
    • year = 2020,
    • month = may,
    • url = {https://arxiv.org/abs/2005.02903}
    • }