Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration

Hao Zhang, Junhai Wen, Donghao Shi, Rui Yang, Jing Wang, Zhengrong Liang

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

Abstract

In single photon emission computed tomography(SPECT), the non-stationary Poisson noise in the projection data is one of the major degrading factors that jeopardize the quality of reconstructed images. In our previous researches for low-dose CT reconstruction, based on the noise properties of the log-transformed projection data, a penalized weighted least-squares (PWLS) cost function was constructed and the ideal projection data(i.e., line integral) was then estimated by minimizing the PWLS cost function. The experimental results showed the method could effectively suppress the noise without noticeable sacrifice of the spatial resolution for both fan- and cone-beam low-dose CT reconstruction. In this work, we tried to extend the PWLS projection restoration method to SPECT by redefining the weight term in PWLS cost function, because the weight is proportional to measured photon counts for transmission tomography(i.e., CT) while inversely proportional to measured photon counts for emission tomography (i.e., SPECT and PET). The iterative Gauss-Seidel algorithm was then used to minimize the cost function, and since the weight term was updated in each iteration, we refer our implementation as penalized reweighted least-squares (PRWLS) approach. The restorated projection data was then reconstructed by an analytical cone-beam SPECT reconstruction algorithm with compensation for non-uniform attenuation. Both high and low level Poisson noise was simulated in the cone-beam SPECT projection data, and the reconstruction results showed feasibility and efficacy of our proposed method on SPECT.

Original languageEnglish (US)
Title of host publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume8668
DOIs
StatePublished - 2013
EventMedical Imaging 2013: Physics of Medical Imaging - Lake Buena Vista, FL, United States
Duration: Feb 11 2013Feb 14 2013

Other

OtherMedical Imaging 2013: Physics of Medical Imaging
CountryUnited States
CityLake Buena Vista, FL
Period2/11/132/14/13

Fingerprint

Single photon emission computed tomography
Noise abatement
Single-Photon Emission-Computed Tomography
Least-Squares Analysis
noise reduction
restoration
Restoration
Noise
Cones
cones
tomography
projection
Cost functions
photons
Costs and Cost Analysis
costs
Photons
Weights and Measures
Tomography
X Ray Tomography

Keywords

  • Noise reduction
  • Non-uniform attenuation
  • Penalized weighted least-squares
  • Poisson noise
  • SPECT reconstruction

ASJC Scopus subject areas

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

Cite this

Zhang, H., Wen, J., Shi, D., Yang, R., Wang, J., & Liang, Z. (2013). Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE (Vol. 8668). [86685C] https://doi.org/10.1117/12.2007745

Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration. / Zhang, Hao; Wen, Junhai; Shi, Donghao; Yang, Rui; Wang, Jing; Liang, Zhengrong.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8668 2013. 86685C.

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

Zhang, H, Wen, J, Shi, D, Yang, R, Wang, J & Liang, Z 2013, Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE. vol. 8668, 86685C, Medical Imaging 2013: Physics of Medical Imaging, Lake Buena Vista, FL, United States, 2/11/13. https://doi.org/10.1117/12.2007745
Zhang H, Wen J, Shi D, Yang R, Wang J, Liang Z. Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8668. 2013. 86685C https://doi.org/10.1117/12.2007745
Zhang, Hao ; Wen, Junhai ; Shi, Donghao ; Yang, Rui ; Wang, Jing ; Liang, Zhengrong. / Noise reduction for cone-beam SPECT by penalized reweighted least-squares projection restoration. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 8668 2013.
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