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Volumn 38, Issue 3, 2011, Pages 1444-1458

Noise-resolution tradeoffs in x-ray CT imaging: A comparison of penalized alternating minimization and filtered backprojection algorithms

Author keywords

alternating minimization; computed tomography; noise; nonquadratic regularization; resolution

Indexed keywords

AMPLITUDE MODULATION; CURVE FITTING; IMAGE RECONSTRUCTION; IMAGE RESOLUTION; OPTICAL RESOLVING POWER; PARAMETER ESTIMATION; X RAYS;

EID: 79952159153     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3549757     Document Type: Article
Times cited : (50)

References (42)
  • 2
    • 0031794571 scopus 로고    scopus 로고
    • Adaptive streak artifact reduction in computed tomography resulting from excessive x-ray photon noise
    • DOI 10.1118/1.598410
    • J. Hsieh, " Adaptive streak artifact reduction in computed tomography resulting from excessive x-ray photon noise.," Med. Phys. 0094-2405 25 (11), 2139-2147 (1998). 10.1118/1.598410 (Pubitemid 28530103)
    • (1998) Medical Physics , vol.25 , Issue.11 , pp. 2139-2147
    • Hsieh, J.1
  • 3
    • 0035053536 scopus 로고    scopus 로고
    • Effect of scattered radiation on image noise in cone beam CT
    • DOI 10.1118/1.1357457
    • M. Endo, T. Tsunoo, N. Nakamori, and K. Yoshida, " Effect of scattered radiation on image noise in cone beam CT.," Med. Phys. 0094-2405 28 (4), 469-474 (2001). 10.1118/1.1357457 (Pubitemid 32323298)
    • (2001) Medical Physics , vol.28 , Issue.4 , pp. 469-474
    • Endo, M.1    Tsunoo, T.2    Nakamori, N.3    Yoshida, K.4
  • 4
    • 0019978056 scopus 로고
    • The effects of scatter in x-ray computed tomography
    • DOI 10.1118/1.595111
    • P. M. Joseph and R. D. Spital, " The effects of scatter in x-ray computed tomography.," Med. Phys. 0094-2405 9 (4), 464-472 (1982). 10.1118/1.595111 (Pubitemid 12090959)
    • (1982) Medical Physics , vol.9 , Issue.4 , pp. 464-472
    • Joseph, P.M.1    Spital, R.D.2
  • 5
    • 0017810277 scopus 로고
    • A method for correcting bone induced artifacts in computed tomography scanners
    • P. M. Joseph and R. D. Spital, " A method for correcting bone induced artifacts in computed tomography scanners.," J. Comput. Assist. Tomogr. 0363-8715 2 (1), 100-108 (1978). 10.1097/00004728-197801000-00017 (Pubitemid 8260665)
    • (1978) Journal of Computer Assisted Tomography , vol.2 , Issue.1 , pp. 100-108
    • Joseph, P.M.1    Spital, R.D.2
  • 6
    • 0019460905 scopus 로고
    • The exponential edge-gradient effect in x-ray computed tomography
    • P. M. Joseph and R. D. Spital, " The exponential edge-gradient effect in x-ray computed tomography.," Phys. Med. Biol. 0031-9155 26 (3), 473-487 (1981). 10.1088/0031-9155/26/3/010 (Pubitemid 11096430)
    • (1981) Physics in Medicine and Biology , vol.26 , Issue.3 , pp. 473-487
    • Joseph, P.M.1    Spital, R.D.2
  • 7
    • 0021327145 scopus 로고
    • EM reconstruction algorithms for emission and transmission tomography
    • K. Lange and R. Carson, " EM reconstruction algorithms for emission and transmission tomography.," J. Comput. Assist. Tomogr. 0363-8715 8 (2), 306-316 (1984). (Pubitemid 14169679)
    • (1984) Journal of Computer Assisted Tomography , vol.8 , Issue.2 , pp. 306-316
    • Lange, K.1    Carson, R.2
  • 8
    • 0002638197 scopus 로고    scopus 로고
    • Statistical image reconstruction methods for transmission tomography
    • in, Handbook of Medical Imaging, Vol., edited by M. Sonka and J. M. Fitzpatrick (SPIE, Bellingham)
    • J. A. Fessler, " Statistical image reconstruction methods for transmission tomography.," in Medical Image Processing and Analysis, Handbook of Medical Imaging, Vol. 2, edited by, M. Sonka, and, J. M. Fitzpatrick, (SPIE, Bellingham, 2000), pp. 1-70.
    • (2000) Medical Image Processing and Analysis , vol.2 , pp. 1-70
    • Fessler, J.A.1
  • 9
    • 0023422273 scopus 로고
    • Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography
    • 0278-0062 , 10.1109/TMI.1987.4307831
    • D. L. Snyder, M. I. Miller, L. J. Thomas, and D. G. Politte, " Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography.," IEEE Trans. Med. Imaging 0278-0062 6 (3), 228-238 (1987). 10.1109/TMI.1987.4307831
    • (1987) IEEE Trans. Med. Imaging , vol.6 , Issue.3 , pp. 228-238
    • Snyder, D.L.1    Miller, M.I.2    Thomas, L.J.3    Politte, D.G.4
  • 10
    • 0027190119 scopus 로고
    • Iterative image reconstruction algorithms based on cross-entropy minimization
    • 1057-7149 , 10.1109/83.210869
    • C. L. Byrne, " Iterative image reconstruction algorithms based on cross-entropy minimization.," IEEE Trans. Image Process. 1057-7149 2 (1), 96-103 (1993). 10.1109/83.210869
    • (1993) IEEE Trans. Image Process. , vol.2 , Issue.1 , pp. 96-103
    • Byrne, C.L.1
  • 11
    • 36549007486 scopus 로고    scopus 로고
    • Computed tomography - An increasing source of radiation exposure
    • DOI 10.1056/NEJMra072149
    • D. J. Brenner and E. J. Hall, " Computed tomography-An increasing source of radiation exposure.," N. Engl. J. Med. 0028-4793 357 (22), 2277-2284 (2007). 10.1056/NEJMra072149 (Pubitemid 350190758)
    • (2007) New England Journal of Medicine , vol.357 , Issue.22 , pp. 2277-2284
    • Brenner, D.J.1    Hall, E.J.2
  • 12
    • 33750549467 scopus 로고    scopus 로고
    • On two-parameter models of photon cross sections: Application to dual-energy CT imaging
    • DOI 10.1118/1.2349688
    • J. F. Williamson, S. Li, S. Devic, B. R. Whiting, and F. A. Lerma, " On two-parameter models of photon cross sections: Application to dual-energy CT imaging.," Med. Phys. 0094-2405 33 (11), 4115-4129 (2006). 10.1118/1.2349688 (Pubitemid 44673102)
    • (2006) Medical Physics , vol.33 , Issue.11 , pp. 4115-4129
    • Williamson, J.F.1    Li, S.2    Devic, S.3    Whiting, B.R.4    Lerma, F.A.5
  • 13
    • 33847771633 scopus 로고    scopus 로고
    • Alternating minimization algorithms for transmission tomography
    • DOI 10.1109/TMI.2006.886806
    • J. A. O'Sullivan and J. Benac, " Alternating minimization algorithms for transmission tomography.," IEEE Trans. Med. Imaging 0278-0062 26 (3), 283-297 (2007). 10.1109/TMI.2006.886806 (Pubitemid 46392338)
    • (2007) IEEE Transactions on Medical Imaging , vol.26 , Issue.3 , pp. 283-297
    • O'Sullivan, J.A.1    Benac, J.2
  • 14
    • 21144458117 scopus 로고    scopus 로고
    • Penalized-likelihood sinogram smoothing for low-dose CT
    • DOI 10.1118/1.1915015
    • P. J. La Rivìre, " Penalized-likelihood sinogram smoothing for low-dose CT.," Med. Phys. 0094-2405 32 (6), 1676-1683 (2005). 10.1118/1.1915015 (Pubitemid 40880561)
    • (2005) Medical Physics , vol.32 , Issue.6 , pp. 1676-1683
    • La Riviere, P.J.1
  • 15
    • 33846564402 scopus 로고    scopus 로고
    • Noise and resolution in images reconstructed with FBP and OSC algorithms for CT
    • DOI 10.1118/1.2409481
    • A. Ziegler, T. Kohler, and R. Proksa, " Noise and resolution in images reconstructed with FBP and OSC algorithms for CT.," Med. Phys. 0094-2405 34 (2), 585-598 (2007). 10.1118/1.2409481 (Pubitemid 46185138)
    • (2007) Medical Physics , vol.34 , Issue.2 , pp. 585-598
    • Ziegler, A.1    Kohler, Th.2    Proksa, R.3
  • 16
    • 50449098182 scopus 로고    scopus 로고
    • Regularized iterative weighted filtered backprojection for helical cone-beam CT
    • 0094-2405 , 10.1118/1.2966353
    • J. Sunnegrdh and P. E. Danielsson, " Regularized iterative weighted filtered backprojection for helical cone-beam CT.," Med. Phys. 0094-2405 35 (9), 4173-4185 (2008). 10.1118/1.2966353
    • (2008) Med. Phys. , vol.35 , Issue.9 , pp. 4173-4185
    • Sunnegrdh, J.1    Danielsson, P.E.2
  • 17
    • 35649025312 scopus 로고    scopus 로고
    • A three-dimensional statistical approach to improved image quality for multislice helical CT
    • DOI 10.1118/1.2789499
    • J. B. Thibault, K. D. Sauer, C. A. Bouman, and J. Hsieh, " A three-dimensional statistical approach to improved image quality for multislice helical CT.," Med. Phys. 0094-2405 34 (11), 4526-4444 (2007). 10.1118/1.2789499 (Pubitemid 350029675)
    • (2007) Medical Physics , vol.34 , Issue.11 , pp. 4526-4544
    • Thibault, J.-B.1    Sauer, K.D.2    Bouman, C.A.3    Hsieh, J.4
  • 18
    • 0025595687 scopus 로고
    • Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
    • 0090-5364, 10.1214/aos/1176348385
    • I. Csiszar, " Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems.," Ann. Stat. 0090-5364 19, 2032-2066 (1991). 10.1214/aos/1176348385
    • (1991) Ann. Stat. , vol.19 , pp. 2032-2066
    • Csiszar, I.1
  • 19
    • 0025404969 scopus 로고
    • Bayesian reconstructions from emission tomography data using a modified EM algorithm
    • DOI 10.1109/42.52985
    • P. J. Green, " Bayesian reconstructions from emission tomography data using a modified EM algorithm.," IEEE Trans. Med. Imaging 0278-0062 9 (1), 84-93 (1990). 10.1109/42.52985 (Pubitemid 20712666)
    • (1990) IEEE Transactions on Medical Imaging , vol.9 , Issue.1 , pp. 84-93
    • Green Peter, J.1
  • 20
    • 0036462558 scopus 로고    scopus 로고
    • Edge-preserving tomographic reconstruction with nonlocal regularization
    • DOI 10.1109/42.993134, PII S0278006202029348
    • D. F. Yu and J. A. Fessler, " Edge-preserving tomographic reconstruction with nonlocal regularization.," IEEE Trans. Med. Imaging 0278-0062 21 (2), 159-173 (2002). 10.1109/42.993134 (Pubitemid 34466429)
    • (2002) IEEE Transactions on Medical Imaging , vol.21 , Issue.2 , pp. 159-173
    • Yu, D.F.1    Fessler, J.A.2
  • 21
    • 0028700063 scopus 로고
    • Accelerated image reconstruction using ordered subsets of projection data
    • 0278-0062 , 10.1109/42.363108
    • H. M. Hudson and R. S. Larkin, " Accelerated image reconstruction using ordered subsets of projection data.," IEEE Trans. Med. Imaging 0278-0062 13 (4), 601-609 (1994). 10.1109/42.363108
    • (1994) IEEE Trans. Med. Imaging , vol.13 , Issue.4 , pp. 601-609
    • Hudson, H.M.1    Larkin, R.S.2
  • 22
    • 33748300890 scopus 로고    scopus 로고
    • Properties of preprocessed sinogram data in x-ray computed tomography
    • DOI 10.1118/1.2230762
    • B. R. Whiting, P. Massoumzadeh, O. A. Earl, J. A. O'Sullivan, D. L. Snyder, and J. F. Williamson, " Properties of preprocessed sinogram data in x-ray computed tomography.," Med. Phys. 0094-2405 33 (9), 3290-3303 (2006). 10.1118/1.2230762 (Pubitemid 44327431)
    • (2006) Medical Physics , vol.33 , Issue.9 , pp. 3290-3303
    • Whiting, B.R.1    Massoumzadeh, P.2    Earl, O.A.3    O'Sullivan, J.A.4    Snyder, D.L.5    Williamson, J.F.6
  • 23
    • 34147138229 scopus 로고    scopus 로고
    • Statistical reconstruction for x-ray computed tomography using energy-integrating detectors
    • DOI 10.1088/0031-9155/52/8/014, PII S0031915507341602, 014
    • G. M. Lasio, B. R. Whiting, and J. F. Williamson, " Statistical reconstruction for x-ray computed tomography using energy-integrating detectors.," Phys. Med. Biol. 0031-9155 52 (8), 2247-2266 (2007). 10.1088/0031-9155/52/8/014 (Pubitemid 46553649)
    • (2007) Physics in Medicine and Biology , vol.52 , Issue.8 , pp. 2247-2266
    • Lasio, G.M.1    Whiting, B.R.2    Williamson, J.F.3
  • 24
    • 0017328286 scopus 로고
    • Noise due to photon counting statistics in computed X ray tomography
    • D. Chesler, S. Riederer, and N. Pelc, " Noise due to photon counting statistics in computed x-ray tomography.," J. Comput. Assist. Tomogr. 0363-8715 1 (1), 64-74 (1977). 10.1097/00004728-197701000-00009 (Pubitemid 8059384)
    • (1977) J.COMPUT.ASSISTED TOMOGRAPHY , vol.1 , Issue.1 , pp. 64-74
    • Chesler, D.A.1    Riederer, S.J.2    Pelc, N.J.3
  • 25
    • 33745368904 scopus 로고    scopus 로고
    • Measurement of the spatial resolution of a clinical volumetric computed tomography scanner using a sphere phantom
    • 0277-786X
    • M. M. Thornton and M. J. Flynn, " Measurement of the spatial resolution of a clinical volumetric computed tomography scanner using a sphere phantom.," Proc. SPIE 0277-786X 6142, 707-716 (2006).
    • (2006) Proc. SPIE , vol.6142 , pp. 707-716
    • Thornton, M.M.1    Flynn, M.J.2
  • 26
    • 0028020650 scopus 로고
    • An analytical edge spread function model for computer fitting and subsequent calculation of the LSF and MTF
    • DOI 10.1118/1.597264
    • J. M. Boone and J. A. Seibert, " An analytical edge spread function model for computer fitting and subsequent calculation of the LSF and MTF.," Med. Phys. 0094-2405 21 (10), 1541-1545 (1994). 10.1118/1.597264 (Pubitemid 24328882)
    • (1994) Medical Physics , vol.21 , Issue.10 , pp. 1541-1545
    • Boone, J.M.1    Seibert, J.A.2
  • 27
    • 0017066097 scopus 로고
    • The line spread function and modulation transfer function of a computed tomographic scanner
    • 0094-2405 , 10.1118/1.594283
    • P. F. Judy, " The line spread function and modulation transfer function of a computed tomographic scanner.," Med. Phys. 0094-2405 3 (4), 233-236 (1976). 10.1118/1.594283
    • (1976) Med. Phys. , vol.3 , Issue.4 , pp. 233-236
    • Judy, P.F.1
  • 28
    • 0345832268 scopus 로고    scopus 로고
    • Characterization and suppression of edge and aliasing artefacts in iterative x-ray CT reconstruction
    • DOI 10.1088/0031-9155/49/1/010, PII S0031915504663718
    • W. Zbijewski and F. J. Beekman, " Characterization and suppression of edge and aliasing artefacts in iterative x-ray CT reconstruction.," Phys. Med. Biol. 0031-9155 49 (1), 145-157 (2004). 10.1088/0031-9155/49/1/010 (Pubitemid 38100628)
    • (2004) Physics in Medicine and Biology , vol.49 , Issue.1 , pp. 145-157
    • Zbijewski, W.1    Beekman, F.J.2
  • 29
    • 0030241912 scopus 로고    scopus 로고
    • Spatial resolution properties of penalized-likelihood image reconstruction: Space-invariant tomographs
    • PII S1057714996060320
    • J. A. Fessler and W. L. Rogers, " Spatial resolution properties of penalized-likelihood image reconstruction: Space-invariant tomographs.," IEEE Trans. Image Process. 1057-7149 5 (9), 1346-1358 (1996). 10.1109/83.535846 (Pubitemid 126782391)
    • (1996) IEEE Transactions on Image Processing , vol.5 , Issue.9 , pp. 1346-1358
    • Fessler, J.A.1    Rogers, W.2
  • 30
    • 1642315422 scopus 로고    scopus 로고
    • Compensation for nonuniform resolution using penalized-likelihood reconstruction in space-variant imaging systems
    • 0278-0062 , 10.1109/TMI.2003.823063
    • J. W. Stayman and J. A. Fessler, " Compensation for nonuniform resolution using penalized-likelihood reconstruction in space-variant imaging systems.," IEEE Trans. Med. Imaging 0278-0062 23 (3), 269-284 (2004). 10.1109/TMI.2003.823063
    • (2004) IEEE Trans. Med. Imaging , vol.23 , Issue.3 , pp. 269-284
    • Stayman, J.W.1    Fessler, J.A.2
  • 31
    • 65549100731 scopus 로고    scopus 로고
    • Quadratic regularization design for 2-D CT
    • 0278-0062 , 10.1109/TMI.2008.2007366
    • H. R. Shi and J. A. Fessler, " Quadratic regularization design for 2-D CT.," IEEE Trans. Med. Imaging 0278-0062 28 (5), 645-656 (2009). 10.1109/TMI.2008.2007366
    • (2009) IEEE Trans. Med. Imaging , vol.28 , Issue.5 , pp. 645-656
    • Shi, H.R.1    Fessler, J.A.2
  • 32
    • 0034195227 scopus 로고    scopus 로고
    • Regularization for uniform spatial resolution properties in penalized-likelihood image reconstruction
    • 0278-0062 , 10.1109/42.870666
    • J. W. Stayman and J. A. Fessler, " Regularization for uniform spatial resolution properties in penalized-likelihood image reconstruction., " IEEE Trans. Med. Imaging 0278-0062 19 (6), 601-615 (2000). 10.1109/42.870666
    • (2000) IEEE Trans. Med. Imaging , vol.19 , Issue.6 , pp. 601-615
    • Stayman, J.W.1    Fessler, J.A.2
  • 33
    • 40149109896 scopus 로고    scopus 로고
    • Analysis of resolution and noise properties of nonquadratically regularized image reconstruction methods for PET
    • DOI 10.1109/TMI.2007.911549, 4378209
    • S. Ahn and R. M. Leahy, " Analysis of resolution and noise properties of nonquadratically regularized image reconstruction methods for PET.," IEEE Trans. Med. Imaging 0278-0062 27 (3), 413-424 (2008). 10.1109/TMI.2007.911549 (Pubitemid 351324789)
    • (2008) IEEE Transactions on Medical Imaging , vol.27 , Issue.3 , pp. 413-424
    • Ahn, S.1    Leahy, R.M.2
  • 34
    • 0029394375 scopus 로고
    • Globally convergent algorithms for maximum a posteriori transmission tomography
    • 1057-7149 , 10.1109/83.465107
    • K. Lange and J. A. Fessler, " Globally convergent algorithms for maximum a posteriori transmission tomography.," IEEE Trans. Image Process. 1057-7149 4 (10), 1430-1438 (1995). 10.1109/83.465107
    • (1995) IEEE Trans. Image Process. , vol.4 , Issue.10 , pp. 1430-1438
    • Lange, K.1    Fessler, J.A.2
  • 35
    • 0033624949 scopus 로고    scopus 로고
    • Reconstruction algorithm for polychromatic CT imaging: application to beam hardening correction
    • DOI 10.1109/42.832955
    • C. H. Yan, R. T. Whalen, G. S. Beaupre, S. Y. Yen, and S. Napel, " Reconstruction algorithm for polychromatic CT imaging: Application to beam hardening correction.," IEEE Trans. Med. Imaging 0278-0062 19 (1), 1-11 (2000). 10.1109/42.832955 (Pubitemid 30594950)
    • (2000) IEEE Transactions on Medical Imaging , vol.19 , Issue.1 , pp. 1-11
    • Yan, C.H.1    Whalen, R.T.2    Beaupre, G.S.3    Yen, S.Y.4    Napel, S.5
  • 37
    • 69949096664 scopus 로고    scopus 로고
    • Iterative reconstruction technique for reducing body radiation dose at CT: Feasibility study
    • 0361-803X , 10.2214/AJR.09.2397
    • A. K. Hara, R. G. Paden, A. C. Silva, J. L. Kujak, H. J. Lawder, and W. Pavlicek, " Iterative reconstruction technique for reducing body radiation dose at CT: Feasibility study.," AJR, Am. J. Roentgenol. 0361-803X 193 (3), 764-771 (2009). 10.2214/AJR.09.2397
    • (2009) AJR, Am. J. Roentgenol. , vol.193 , Issue.3 , pp. 764-771
    • Hara, A.K.1    Paden, R.G.2    Silva, A.C.3    Kujak, J.L.4    Lawder, H.J.5    Pavlicek, W.6
  • 38
    • 77949865226 scopus 로고    scopus 로고
    • Reducing abdominal CT radiation dose with adaptive statistical iterative reconstruction technique
    • 0020-9996 , 10.1097/RLI.ob013e3181dzfeec
    • P. Prakash, M. K. Kalra, A. K. Kambadakone, H. Pien, J. Hsieh, M. A. Blake, and D. V. Sahani, " Reducing abdominal CT radiation dose with adaptive statistical iterative reconstruction technique.," Invest. Radiol. 0020-9996 45 (4), 202-210 (2010). 10.1097/RLI.ob013e3181dzfeec
    • (2010) Invest. Radiol. , vol.45 , Issue.4 , pp. 202-210
    • Prakash, P.1    Kalra, M.K.2    Kambadakone, A.K.3    Pien, H.4    Hsieh, J.5    Blake, M.A.6    Sahani, D.V.7
  • 39
    • 74749087439 scopus 로고    scopus 로고
    • Innovations in CT dose reduction strategy: Application of the adaptive statistical iterative reconstruction algorithm
    • 0361-803X , 10.2214/AJR.09.2953
    • A. C. Silva, H. J. Lawder, A. Hara, J. Kujak, and W. Pavlicek, " Innovations in CT dose reduction strategy: Application of the adaptive statistical iterative reconstruction algorithm.," AJR, Am. J. Roentgenol. 0361-803X 194 (1), 191-199 (2010). 10.2214/AJR.09.2953
    • (2010) AJR, Am. J. Roentgenol. , vol.194 , Issue.1 , pp. 191-199
    • Silva, A.C.1    Lawder, H.J.2    Hara, A.3    Kujak, J.4    Pavlicek, W.5
  • 42
    • 0026913351 scopus 로고
    • AAPM tutorial. CT image detail and noise
    • 0271-5333
    • P. Sprawls, " AAPM tutorial. CT image detail and noise.," Radiographics 0271-5333 12 (5), 1041-1046 (1992).
    • (1992) Radiographics , vol.12 , Issue.5 , pp. 1041-1046
    • Sprawls, P.1


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