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Volumn 10, Issue 4, 2001, Pages 673-696

An analysis of the role of positivity and mixture model constraints in poisson deconvolution problems

Author keywords

Constraints; Deconvolution; Least squares; Maximum likelihood; Regularization

Indexed keywords


EID: 0035564414     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1198/106186001317243395     Document Type: Article
Times cited : (11)

References (37)
  • 1
    • 0001479726 scopus 로고
    • An Algorithm for Finding the Distribution of Maximal Entropy
    • Agmon, A., and Levine L(1979), “An Algorithm for Finding the Distribution of Maximal Entropy,” Journal of Computing Physics, 30, 250-258.
    • (1979) Journal of Computing Physics , vol.30 , pp. 250-258
    • Agmon, A.1    Levine, L.2
  • 2
    • 0001395470 scopus 로고
    • Spectral Mixture Modeling; A New Analysis of Rock and Soil Types at the Viking Lander 1 Site
    • Adams J. B., and Smith, M. O. (1986), “Spectral Mixture Modeling; A New Analysis of Rock and Soil Types at the Viking Lander 1 Site,” Journal of Geophysical Research, 91, 8098-8112.
    • (1986) Journal of Geophysical Research , vol.91 , pp. 8098-8112
    • Adams, J.B.1    Smith, M.O.2
  • 4
    • 84958484337 scopus 로고
    • Partial Volume Tissue Classification of Multichannel Magnetic Resonance Images—A Mixel Model
    • Choi, H. S., Haynor, D. R., and Kim, Y. (1989), “Partial Volume Tissue Classification of Multichannel Magnetic Resonance Images—A Mixel Model,” SPIE Medical Imaging III: Image Processing, 1092,183-193.
    • (1989) SPIE Medical Imaging III: Image Processing , vol.1092 , pp. 183-193
    • Choi, H.S.1    Haynor, D.R.2    Kim, Y.3
  • 5
    • 0011509320 scopus 로고
    • Approximation of Method of Regularization Estimators
    • Cox, D. D. (1988), “Approximation of Method of Regularization Estimators,” The Annalsof Statistics, 16,694-712.
    • (1988) The Annalsof Statistics , vol.16 , pp. 694-712
    • Cox, D.D.1
  • 7
    • 0028446166 scopus 로고
    • Penalized Weighted Least-Squares Image Reconstruction for PositronEmission Tomography
    • Fessler, J. A. (1994), “Penalized Weighted Least-Squares Image Reconstruction for PositronEmission Tomography,” IEEE Transactions on Medical Imaging, 13, 290-300.
    • (1994) IEEE Transactions on Medical Imaging , vol.13 , pp. 290-300
    • Fessler, J.A.1
  • 9
    • 0025404969 scopus 로고
    • Bayesian Reconstruction from Emission Tomography Data Using a Modified EM algorithm
    • Green PJ. (1990), “Bayesian Reconstruction from Emission Tomography Data Using a Modified EM algorithm,” IEEE Transactions on Medical Imaging, 9, 84-93.
    • (1990) IEEE Transactions on Medical Imaging , vol.9 , pp. 84-93
    • Green, P.J.1
  • 11
    • 0012014798 scopus 로고
    • Comparing Restored HST and VLA Imagery of R Aquarii
    • Hollis, Dorband, and Yusef-Zadeh Y (1992), “Comparing Restored HST and VLA Imagery of R Aquarii,” The Astrophysical Journal, 386, 293-298.
    • (1992) The Astrophysical Journal , vol.386 , pp. 293-298
    • Hollis, D.1    Yusef-Zadeh, Y.2
  • 12
    • 2542544476 scopus 로고    scopus 로고
    • A Preconditioner for Constrained and Weighted Least Squares Problems with Toeplitz Structure
    • Jin, X.-Q. (1996), “A Preconditioner for Constrained and Weighted Least Squares Problems with Toeplitz Structure,” Nordic Journal of Computing, BIT, 36, 101-109.
    • (1996) Nordic Journal of Computing, BIT , vol.36 , pp. 101-109
    • Jin, X.-Q.1
  • 13
    • 0000319983 scopus 로고
    • Speed of Estimation of Positron Emission Tomography
    • Johnstone, I., and Silverman, B. W. (1990), “Speed of Estimation of Positron Emission Tomography,” The Annals of Statistics, 18,616-629.
    • (1990) The Annals of Statistics , vol.18 , pp. 616-629
    • Johnstone, I.1    Silverman, B.W.2
  • 14
    • 0028319747 scopus 로고
    • Statistical Models for PET and SPECT Data
    • Kay, J. (1994), “Statistical Models for PET and SPECT Data”, Statistical Methods in Medical Research, 3, 5-21.
    • (1994) Statistical Methods in Medical Research , vol.3 , pp. 5-21
    • Kay, J.1
  • 15
    • 0001380336 scopus 로고
    • A Multivariate Analogue of the One-Sided Test
    • Kudo, A. (1963), “A Multivariate Analogue of the One-Sided Test,” Biometrika, 50,403-418.
    • (1963) Biometrika , vol.50 , pp. 403-418
    • Kudo, A.1
  • 21
    • 0008994821 scopus 로고
    • On the Problem of Testing Location in Multivariate Populations for Restricted Alternatives
    • Nuesch, P. (1966), “On the Problem of Testing Location in Multivariate Populations for Restricted Alternatives,” The Annals of Mathematical Statistics, 37, 113-119.
    • (1966) The Annals of Mathematical Statistics , vol.37 , pp. 113-119
    • Nuesch, P.1
  • 22
    • 0000823716 scopus 로고
    • Convergence Rates for Regularized Solutions of Integral Equations from Discrete Noisy Data
    • Nychka, D., and Cox, D. D. (1989), “Convergence Rates for Regularized Solutions of Integral Equations from Discrete Noisy Data,” The Annals of Statistics, 17, 556-572.
    • (1989) The Annals of Statistics , vol.17 , pp. 556-572
    • Nychka, D.1    Cox, D.D.2
  • 24
    • 0027665891 scopus 로고
    • Imaging Radiotracer Model Parameters in PET: A Mixture Analysis Approach
    • O'Sullivan, F. (1993a), “Imaging Radiotracer Model Parameters in PET: A Mixture Analysis Approach,” IEEE Transactions on Medical Imaging, 12, 399-412.
    • (1993) IEEE Transactions on Medical Imaging , vol.12 , pp. 399-412
    • O'sullivan, F.1
  • 25
    • 21844491230 scopus 로고
    • A Study of Least Squares and Maximum Likelihood for Image Reconstruction in Positron Emission Tomography
    • O'Sullivan, F. (1995), “A Study of Least Squares and Maximum Likelihood for Image Reconstruction in Positron Emission Tomography,” The Annals of Statistics, 23, 1267-1300.
    • (1995) The Annals of Statistics , vol.23 , pp. 1267-1300
    • O'sullivan, F.1
  • 26
    • 0030538765 scopus 로고    scopus 로고
    • Bandwidth Selection for Indirect Density Estimation Based on Corrupted Histogram Data
    • O'Sullivan, F., and Pawitan, Y. (1996), “Bandwidth Selection for Indirect Density Estimation Based on Corrupted Histogram Data,” Journal of the American Statistical Association, 91, 610-626.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 610-626
    • O'sullivan, F.1    Pawitan, Y.2
  • 27
    • 0027835895 scopus 로고
    • Reducing Negativity Artifacts in Emission Tomography: Post-Processing Filtered Backprojection Solutions
    • O'Sullivan, F., Pawitan, Y., and Haynor, D. (1993), “Reducing Negativity Artifacts in Emission Tomography: Post-Processing Filtered Backprojection Solutions,” IEEE Transactions on Medical Imaging, 12, 653-663.
    • (1993) IEEE Transactions on Medical Imaging , vol.12 , pp. 653-663
    • O'sullivan, F.1    Pawitan, Y.2    Haynor, D.3
  • 29
    • 85011223036 scopus 로고    scopus 로고
    • Additive Mixture Models for Multichannel Image Data
    • Statistics Department, University of Washington
    • Roy Choudhury, K. (1998), “Additive Mixture Models for Multichannel Image Data,” unpublished Ph.D. dissertation, Statistics Department, University of Washington.
    • (1998) Unpublished Ph.D. Dissertation
    • Roy Choudhury, K.1
  • 30
  • 31
    • 0002752852 scopus 로고
    • A Smoothed EM Approach to Indirect Estimation Problems, With Particular Reference to Stereology and Emission Tomography
    • Ser. B
    • Silverman, B. W., Jones, M. C., Wilson, J. D., and Nychka, D. (1990), “A Smoothed EM Approach to Indirect Estimation Problems, With Particular Reference to Stereology and Emission Tomography,” Journal of the Royal Statistical Society, Ser. B, 52, 271-324.
    • (1990) Journal of the Royal Statistical Society , vol.52 , pp. 271-324
    • Silverman, B.W.1    Jones, M.C.2    Wilson, J.D.3    Nychka, D.4
  • 32
    • 0001227575 scopus 로고
    • Additive Regression and Other Nonparametric Models
    • Stone, C. J. (1985), “Additive Regression and Other Nonparametric Models,” The Annals of Statistics, 13,689-705.
    • (1985) The Annals of Statistics , vol.13 , pp. 689-705
    • Stone, C.J.1
  • 33
    • 0000642087 scopus 로고
    • From Image Deblurring to Optimal Investments: Maximum Likelihood Solutions for Positive Linear Inverse Problems
    • Ser. B
    • Vardi, Y., and Lee, D. (1993), “From Image Deblurring to Optimal Investments: Maximum Likelihood Solutions for Positive Linear Inverse Problems,” Journal of the Royal Statistical Society, Ser. B, 55, 569-612.
    • (1993) Journal of the Royal Statistical Society , vol.55 , pp. 569-612
    • Vardi, Y.1    Lee, D.2
  • 35
    • 0000148392 scopus 로고
    • Inequality Constrained Multivariate Smoothing Splines With Application to the Estimation of Prior Probabilities
    • Villalobos, M., and Wahba, G. (1987), “Inequality Constrained Multivariate Smoothing Splines With Application to the Estimation of Prior Probabilities,” Journal of the American Statistical Association, 82, 239-248.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 239-248
    • Villalobos, M.1    Wahba, G.2
  • 36
    • 0003298544 scopus 로고
    • Spline Models for Observational Data
    • Wahba, G. (1990), “Spline Models for Observational Data,” SIAM.
    • (1990) SIAM
    • Wahba, G.1
  • 37
    • 85011200430 scopus 로고
    • On Deconvolution Using Time of Flight Information in Positron Emission Tomography
    • Zhang, P. (1992), “On Deconvolution Using Time of Flight Information in Positron Emission Tomography,” Statistica Sinica, 2, 553-575.
    • (1992) Statistica Sinica , vol.2 , pp. 553-575
    • Zhang, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.