메뉴 건너뛰기




Volumn 17, Issue 4, 2009, Pages 537-550

An analysis of regularization by diffusion for ill-posed Poisson likelihood estimations

Author keywords

Compact operator equations; Ill posed problems; Optimization; Poisson likelihood estimation

Indexed keywords

BACKGROUND LIGHT; CHARGE COUPLED DEVICE CAMERA; COMPACT OPERATOR EQUATIONS; COMPACT OPERATORS; DATA FUNCTIONS; DIFFERENTIAL OPERATORS; FUNCTIONALS; ILL POSED; ILL POSED PROBLEM; ILL-POSED PROBLEMS; LEAST SQUARES FIT; NUMERICAL EXPERIMENTS; POISSON LIKELIHOOD; POISSON LIKELIHOOD ESTIMATION; POISSON LIKELIHOOD FUNCTION; TOTAL VARIATION REGULARIZATION;

EID: 70350669488     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415970802231594     Document Type: Article
Times cited : (9)

References (20)
  • 3
    • 67349157591 scopus 로고    scopus 로고
    • Total variation-penalized Poisson likelihood estimation for ill-posed problems
    • Special Issue on Mathematical Imaging (DOI: 10.1007/ s/10444-008-9081-8)
    • J.M. Bardsley and A. Luttman, Total variation-penalized Poisson likelihood estimation for ill-posed problems, Adv. Comput. Math., Special Issue on Mathematical Imaging (DOI: 10.1007/ s/10444-008-9081-8).
    • Adv. Comput. Math.
    • Bardsley, J.M.1    Luttman, A.2
  • 4
    • 0027597289 scopus 로고
    • Image recovery from data acquired with a charge-coupled-device camera
    • D.L. Snyder, A.M. Hammoud, and R.L. White, Image recovery from data acquired with a charge-coupled-device camera, J. Optical Soc. Am. A 10 (1993), pp. 1014-1023.
    • (1993) J. Optical Soc. Am. A , vol.10 , pp. 1014-1023
    • Snyder, D.L.1    Hammoud, A.M.2    White, R.L.3
  • 5
    • 40849092848 scopus 로고    scopus 로고
    • Tikhonov regularized Poisson likelihood estimation: Theoritical justification and a computational method
    • J.M. Bardsley and N. Laobeul, Tikhonov regularized Poisson likelihood estimation: theoritical justification and a computational method, Inverse Prob. Sci. Eng. 16 (2) (2008), pp. 199-215.
    • (2008) Inverse Prob. Sci. Eng. , vol.16 , Issue.2 , pp. 199-215
    • Bardsley, J.M.1    Laobeul, N.2
  • 6
    • 70350288449 scopus 로고    scopus 로고
    • An efficient computational method for total variation-penalized Poisson likelihood estimation
    • J.M. Bardsley, An efficient computational method for total variation-penalized Poisson likelihood estimation, Inverse Prob. Imag. 2(2) (2008), pp. 167-185.
    • (2008) Inverse Prob. Imag. , vol.2 , Issue.2 , pp. 167-185
    • Bardsley, J.M.1
  • 9
    • 33947368708 scopus 로고    scopus 로고
    • A Gaussian hypermodel to recover blocky objects
    • D. Calvetti and E. Somersalo, A Gaussian hypermodel to recover blocky objects, Inverse Prob. 23(2)(2007), pp. 733-754.
    • (2007) Inverse Prob. , vol.23 , Issue.2 , pp. 733-754
    • Calvetti, D.1    Somersalo, E.2
  • 10
    • 0018999755 scopus 로고
    • Regularization with differential operators. I: General theory
    • J. Locker and P.M. Prenter, Regularization with differential operators. I: General theory, J. Math. Anal. and Appl. 74 (1980), pp. 504-529.
    • (1980) J. Math. Anal. and Appl. , vol.74 , pp. 504-529
    • Locker, J.1    Prenter, P.M.2
  • 11
    • 0036462558 scopus 로고    scopus 로고
    • Edge-preserving tomographic reconstruction with nonlocal regulariza-tion
    • D.F. Yu and J.A. Fessler, Edge-preserving tomographic reconstruction with nonlocal regulariza-tion, IEEE Trans. Med. Imag. 21 (2002), pp. 159-173.
    • (2002) IEEE Trans. Med. Imag. , vol.21 , pp. 159-173
    • Yu, D.F.1    Fessler, J.A.2
  • 13
  • 15
    • 70449620718 scopus 로고
    • On the convexity of quadratic forms over convex sets
    • R. Cottle, On the convexity of quadratic forms over convex sets, Oper. Res. 15(1) (1967), pp. 170-172.
    • (1967) Oper. Res. , vol.15 , Issue.1 , pp. 170-172
    • Cottle, R.1
  • 17
    • 33750149637 scopus 로고    scopus 로고
    • Covariance-preconditioned iterative methods for nonnegatively constrained image reconstruction, SIAM
    • J.M. Bardsley and J.G. Nagy, Covariance-preconditioned iterative methods for nonnegatively constrained image reconstruction, SIAM J. Matrix Anal. Appl. 27(4) (2006), pp. 1184-1198.
    • (2006) J. Matrix Anal. Appl. , vol.27 , Issue.4 , pp. 1184-1198
    • Bardsley, J.M.1    Nagy, J.G.2
  • 18
    • 2342654684 scopus 로고    scopus 로고
    • A nonnegatively constrained convex programming method for image reconstruction
    • J.M. Bardsley and C.R. Vogel, A nonnegatively constrained convex programming method for image reconstruction, SIAM J. Sci. Comput. 25(4) (2004), pp. 1326-1343.
    • (2004) SIAM J. Sci. Comput. , vol.25 , Issue.4 , pp. 1326-1343
    • Bardsley, J.M.1    Vogel, C.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.