Analytical noise treatment for low-dose CT projection data by penalized weighted least-square smoothing in the K-L domain

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4682, Issue , 2002, Pages 146-152

  Lu, Hongbing ^a   Li, Xiang ^a   Hsiao, Ing Tsung ^a   Liang, Zhengrong ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Karhunen Loeve (K L) transform; Low dose CT; Noise reduction; Nonstationary Gaussian noise; Penalized weighted lease square smoothing

Indexed keywords

COMPUTER SIMULATION; DATA ACQUISITION; DOSIMETRY; FEATURE EXTRACTION; GAUSSIAN NOISE (ELECTRONIC); IMAGE RECONSTRUCTION; MATHEMATICAL TRANSFORMATIONS; OPTICAL RESOLVING POWER; OPTIMIZATION; SIGNAL FILTERING AND PREDICTION;

LOW-DOSE COMPUTED TOMOGRAPHY (CT); WEIGHTED LEAST-SQUARE SMOOTHING TECHNIQUES;

COMPUTERIZED TOMOGRAPHY;

EID: 0036033694     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.465552     Document Type: Conference Paper

References (16)

1. K. Demirkaya, "Reduction of noise and image artifacts in computed tomography by nonlinear filtration of the projection images", SPIE Med. Imaging, 4322, pp. 917-923, 2001.
2. J. Hsieh, "Adaptive streak artifacts reduction in computed tomography resulting from excessive x-ray photon noise", Med. Physics, 25, pp. 2139-47, 1998.
3. K. Sauer and B. Liu, "Non-stationary filtering of transmission tomograms in high photon counting noise", IEEE Trans. Med. Imaging, 10, pp. 445-452, 1991.
4. C.L. Chan, A.K. Katsaggelos, and A.V. Sahakian, "Linear-quadratic noise-smoothing filters for quantum-limited images", IEEE Trans. Image Processing, 4, pp. 1328-33, 1995.
5. J.A. Fessler, "Penalized weighted least-squares image reconstruction for positron emission tomography", IEEE Trans. Med. Imaging, 13, pp. 290-300, 1994.
6. J.A. Fessler, "Tomographic reconstruction using information-weighted spline smoothing", in Information. Proc. in Med. Imaging, H.H. Barrett and A.F.Gmitro, Eds. Heidelberg: Spring-Verlag, pp. 372-386, 1993.
7. J.A. Fessler and W.L. Rogers, "Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs", IEEE Trans. Image Processing, 5, pp. 1346-1358, 1996.
8. J.A. Fessler. "Nonparametric fixed-interval smoothing with vector splines", IEEE Trans. Sig. Proc., 39, pp. 852-859, 1991.
9. B.R. Hunt and O. Kübler, "Karhunen-Loeve multi-spectral image restoration, part I: theory", IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-32, pp. 592-600, 1984.
10. J.B. Lee, A.S. Woodyatt, and M. Berman, "Enhancement of high spectral resolution remote-sensing data by a noise-adjusted principal components transform", IEEE Trans. Geosci. Remote Sensing, 28, pp. 295-304, 1990.
11. M.N. Wernick, E.J. Infusino, and C.M. Kao, "Fast optimal pre-reconstruction filters for dynamic PET", Conference Record of the IEEE NSS and MIC, 1997.
12. M.N. Wernick, E.J. Infusino, and M. Milosevic, "Fast Spatio-temporal image reconstruction for dynamic PET", IEEE Trans. Med. Imaging, 18, pp. 185-195, 1999.
13. M. Pélégrini, H. Benali, G. El Fakhri, and et al., "Two-dimensional statistical model for regularized backprojection in SPECT", Phys. Med. Biology, 43, pp. 421-434, 1998.
14. H. Lu, Z. Liang, D. Chen, and et al., "A combined transformation of ordering SPECT sinograms for signal extraction from measurements with Poisson noise", SPIE Proc., 4322, pp. 1431-1438, 2001.
15. P.J. La Rivière and X. Pan, "Nonparametric regression sinogram smoothing using a roughness-penalized Poisson likelihood objective function", IEEE Trans. Med. Imaging, 19, pp. 773-786, 2000.
16. D.F. Yu and J.A. Fessler, "Three-dimensional non-local edge-preserving regularization for PET transmission reconstruction", Conference Record of the IEEE NSS and MIC, 2000.