Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration

Somesh Srivastava, Jochen Cammin, George S K Fung, Benjamin Tsui, Katsuyuki Taguchi

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

Abstract

The x-ray spectrum recorded by a photon-counting x-ray detector (PCXD) is distorted due to the following physical effects which are independent of the count rate: finite energy-resolution, Compton scattering, charge-sharing, and Kescape. If left uncompensated, the spectral response (SR) of a PCXD due to the above effects will result in image artifacts and inaccurate material decomposition. We propose a new SR compensation (SRC) algorithm using the sinogram restoration approach. The two main contributions of our proposed algorithm are: (1) our algorithm uses an efficient conjugate gradient method in which the first and second derivatives of the cost functions are directly calculated analytically, whereas a slower optimization method that requires numerous function evaluations was used in other work; (2) our algorithm guarantees convergence by combining the non-linear conjugate gradient method with line searches that satisfy Wolfe conditions, whereas the algorithm in other work is not backed by theorems from optimization theory to guarantee convergence. In this study, we validate the performance of the proposed algorithm using computer simulations. The bias was reduced to zero from 11%, and image artifacts were removed from the reconstructed images. Quantitative K-edge imaging in possible only when SR compensation is done.

Original languageEnglish (US)
Title of host publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume8313
DOIs
StatePublished - 2012
EventMedical Imaging 2012: Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 5 2012Feb 8 2012

Other

OtherMedical Imaging 2012: Physics of Medical Imaging
CountryUnited States
CitySan Diego, CA
Period2/5/122/8/12

Fingerprint

spectral sensitivity
Photons
Compensation and Redress
restoration
Restoration
counting
X-Rays
X rays
photons
Conjugate gradient method
x ray detectors
conjugate gradient method
x rays
Artifacts
artifacts
Detectors
Compton scattering
Function evaluation
optimization
Cost functions

Keywords

  • clinical x-ray CT
  • conjugate gradient
  • convergent algorithms
  • image reconstruction
  • maximum likelihood estimation
  • optimization methods
  • Photon-counting detectors
  • sinogram restoration

ASJC Scopus subject areas

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

Cite this

Srivastava, S., Cammin, J., Fung, G. S. K., Tsui, B., & Taguchi, K. (2012). Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE (Vol. 8313). [831311] https://doi.org/10.1117/12.911394

Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration. / Srivastava, Somesh; Cammin, Jochen; Fung, George S K; Tsui, Benjamin; Taguchi, Katsuyuki.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8313 2012. 831311.

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

Srivastava, S, Cammin, J, Fung, GSK, Tsui, B & Taguchi, K 2012, Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE. vol. 8313, 831311, Medical Imaging 2012: Physics of Medical Imaging, San Diego, CA, United States, 2/5/12. https://doi.org/10.1117/12.911394
Srivastava S, Cammin J, Fung GSK, Tsui B, Taguchi K. Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8313. 2012. 831311 https://doi.org/10.1117/12.911394
Srivastava, Somesh ; Cammin, Jochen ; Fung, George S K ; Tsui, Benjamin ; Taguchi, Katsuyuki. / Spectral response compensation for photon-counting clinical x-ray CT using sinogram restoration. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8313 2012.
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