SNR-weighted sinogram smoothing with improved noise-resolution properties for low-dose X-ray computed tomography

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5370 III, Issue , 2004, Pages 2058-2066

  Li, T ^a   Wang, J ^a   Wen, J ^a   Li, X ^b   Lu, H ^c   Hsieh, J ^d   Liang, Z ^a  

^a STONY BROOK UNIVERSITY   (United States)

^b Columbia University ^*  (United States)

^c FOURTH MILITARY MEDICAL UNIVERSITY   (China)

^d GE Medical System   (United States)

Author keywords

Circular harmonic decomposition; Conjugate gradient; Fan beam; High resolution reconstruction; Resolution variation; Uniform attenuation

Indexed keywords

DATA ACQUISITION; FREQUENCIES; GAUSSIAN NOISE (ELECTRONIC); ITERATIVE METHODS; NONLINEAR SYSTEMS; RADON; SIGNAL TO NOISE RATIO; STATISTICAL METHODS; X RAYS;

CIRCULAR HARMONIC DECOMPOSITION; CONJUGATE GRADIENT; FAN-BEAM; HIGH RESOLUTION RECONSTRUCTION; RESOLUTION VARIATION; UNIFORM ATTENUATION;

COMPUTERIZED TOMOGRAPHY;

EID: 5644290745     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.535560     Document Type: Conference Paper

References (15)

1. I. A. Elbakri and J. A. Fessler, "Statistical image reconstruction for polyenergetic X-ray computed tomography", IEEE Trans. Med. Imaging, 21: 89-99, 2002.
2. B. R. Whiting. "Signal statistics in x-ray computed tomography", SPIE Medical Imaging, 4682: 53-60, 2002.
3. I. A. Elbakri and J. A. Fessier, "Efficient and accurate likelihood for iterative image reconstruction in X-ray computed tomography", SPIE Medical Imaging, 5032: 1839-1850, 2003.
4. J. A. Fessier, "Tomographic reconstruction using information-weighted spline smoothing", in Information Processing in Medical Imaging, H. H. Barrett and A. F. Gmitro, Eds. Berlin, Germany: Springer-Verlag, 1993, pp. 290-300.
5. Z. Liang, "Detector response restoration in image reconstruction of high resolution positron emission tomography", IEEE Trans. Med. Imaging, 13: 314-321, 1994.
6. P. La Rivière and X. Pan, "Nonparametric regression sinogram smoothing using a roughness-penalized Poisson likelihood objective function", IEEE Trans. Med. Imaging, 19: 773-786, 2000.
7. P. La Rivière, "Reduction of noise-induced streak artifacts in x-ray CT through penalized-likelihood sinogram smoothing", Conf Record IEEE NSS-MIC, 2003.
8. H. Lu, X. Li, I. T. Hsiao, and Z. Liang, "Analytical treatment of noise for low-dose CT projection data by penalized weighted least-square smoothing in the K-L domain", SPIE Medical Imaging, 4682: 146-152, 2002.
9. A. Papoulis, Probability, random variables, and stochastic processes. McGraw-Hill, New York, 1965.
10. T. Lei and W. Sewchand, "Statistical approach to x-ray CT imaging and its applications in image analysis - part I: Statistical analysis of x-ray CT imaging", IEEE Trans. Med. Imaging, 11: 53-61, 1992.
11. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images", IEEE Trans. Pattern Analysis and Machine Intelligence, 6: 721-741, 1984.
12. D. Lalush and BMW Tsui, "A generalized Gibbs prior for maximum a posteriori reconstruction in SPECT", Physics in Medicine and Biology, 38: 729-741, 1993.
13. J. A. Fessier, "Penalized weighted least-squares image reconstruction for positron emission tomography", IEEE Trans. Med. Imaging, 13: 290-300, 1994.
14. J. Hsieh, "Adaptive streak artifact reduction in computed tomography resulting from excessive x-ray photon noise", Medical Physics, 25: 2139-2147, 1998.
15. K. Demirkaya, "Reduction of noise and image artifacts in computed tomography by nonlinear filtration of the projection images", SPIE Medical Imaging, 4322: 917-923, 2001.