메뉴 건너뛰기




Volumn 21, Issue 1, 2005, Pages 357-382

An analytical comparison of three spatio-temporal regularization methods for dynamic linear inverse problems in a common statistical framework

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; IMAGE PROCESSING; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MEDICAL IMAGING; STATISTICAL METHODS; TIME VARYING CONTROL SYSTEMS;

EID: 13744262153     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/1/022     Document Type: Article
Times cited : (64)

References (35)
  • 1
    • 0026517033 scopus 로고
    • The use of temporal information in the regularization of the inverse problem of electrocardiography
    • Oster H S and Rudy Y 1992 The use of temporal information in the regularization of the inverse problem of electrocardiography IEEE Trans. Biomed. Eng. 39 65-75
    • (1992) IEEE Trans. Biomed. Eng. , vol.39 , pp. 65-75
    • Oster, H.S.1    Rudy, Y.2
  • 2
    • 0028494128 scopus 로고
    • Dynamic cardiac SPECT computer simulation for teboroxime kinetics
    • Smith A M and Gullberg G T 1994 Dynamic cardiac SPECT computer simulation for teboroxime kinetics IEEE Trans. Nucl. Sci. 41 1626-33
    • (1994) IEEE Trans. Nucl. Sci. , vol.41 , pp. 1626-1633
    • Smith, A.M.1    Gullberg, G.T.2
  • 4
    • 0027875253 scopus 로고
    • Time-recursive solution to the inverse problem of electrocardiography: A model-based approach
    • Joly D, Goussard Y and Savard P 1993 Time-recursive solution to the inverse problem of electrocardiography: a model-based approach Proc. 15th Ann. IEEE-EMBS Conf. pp 767-8
    • (1993) Proc. 15th Ann. IEEE-EMBS Conf. , pp. 767-768
    • Joly, D.1    Goussard, Y.2    Savard, P.3
  • 7
    • 0035365514 scopus 로고    scopus 로고
    • State estimation with fluid dynamical evolution models in process tomography - An application to impedance tomography
    • Seppanen A, Vauhkonen M, Vauhkonen P J, Somersalo E and Kaipio J P 2001 State estimation with fluid dynamical evolution models in process tomography - an application to impedance tomography Inverse Problems 17 467-83
    • (2001) Inverse Problems , vol.17 , pp. 467-483
    • Seppanen, A.1    Vauhkonen, M.2    Vauhkonen, P.J.3    Somersalo, E.4    Kaipio, J.P.5
  • 8
    • 0035665606 scopus 로고    scopus 로고
    • Estimation of non-stationary region boundaries in EIT - State estimation approach
    • Kolehmainen V, Voutilainen A and Kaipio J P 2001 Estimation of non-stationary region boundaries in EIT - state estimation approach Inverse Problems 17 1937-56
    • (2001) Inverse Problems , vol.17 , pp. 1937-1956
    • Kolehmainen, V.1    Voutilainen, A.2    Kaipio, J.P.3
  • 9
    • 0038047694 scopus 로고    scopus 로고
    • State-estimation approach to the nonstationary optical tomography problem
    • Kolehmainen V, Prince S, Arridge S R and Kaipio J P 2003 State-estimation approach to the nonstationary optical tomography problem J. Opt. Soc. Am. A 20 876-89
    • (2003) J. Opt. Soc. Am. A , vol.20 , pp. 876-889
    • Kolehmainen, V.1    Prince, S.2    Arridge, S.R.3    Kaipio, J.P.4
  • 10
    • 0036537541 scopus 로고    scopus 로고
    • A new treatment of the inverse problem of multivariate analysis
    • Greensite F 2002 A new treatment of the inverse problem of multivariate analysis Inverse Problems 18 363-79
    • (2002) Inverse Problems , vol.18 , pp. 363-379
    • Greensite, F.1
  • 11
    • 0141621116 scopus 로고    scopus 로고
    • The temporal prior in bioelectromagnetic source imaging problems
    • Greensite F 2003 The temporal prior in bioelectromagnetic source imaging problems IEEE Trans. Biomed. Eng. 50 1152-9
    • (2003) IEEE Trans. Biomed. Eng. , vol.50 , pp. 1152-1159
    • Greensite, F.1
  • 14
    • 21644483999 scopus 로고
    • Maximum likelihood estimates of linear dynamic systems
    • Rauch H, Tung F and Striebel C 1965 Maximum likelihood estimates of linear dynamic systems AIAA J. 3 1445
    • (1965) AIAA J. , vol.3 , pp. 1445
    • Rauch, H.1    Tung, F.2    Striebel, C.3
  • 16
    • 0345421566 scopus 로고    scopus 로고
    • Multiresolution Markov models for signal and image processing
    • Willsky A S 2002 Multiresolution Markov models for signal and image processing Proc. IEEE 90 1396-458
    • (2002) Proc. IEEE , vol.90 , pp. 1396-1458
    • Willsky, A.S.1
  • 18
    • 13744249949 scopus 로고    scopus 로고
    • Private communication
    • Greensite F 2004 Private communication
    • (2004)
    • Greensite, F.1
  • 19
    • 0031983288 scopus 로고    scopus 로고
    • An improved method for estimating epicardial potentials from the body surface
    • Greensite F and Huiskamp G 1998 An improved method for estimating epicardial potentials from the body surface IEEE Trans. Biomed. Eng. 45 98-104
    • (1998) IEEE Trans. Biomed. Eng. , vol.45 , pp. 98-104
    • Greensite, F.1    Huiskamp, G.2
  • 22
    • 0001632418 scopus 로고
    • The use of L-curve in the regularization of ill-posed problems
    • Hansen P C 1993 The use of L-curve in the regularization of ill-posed problems SIAM J. Sci. Comput. 14 1487-503
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1
  • 24
    • 1242322459 scopus 로고    scopus 로고
    • Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter
    • Berrier K L, Sorensen D C and Khoury D S 2004 Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter IEEE Trans. Biomed. Eng. 51 507-15
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , pp. 507-515
    • Berrier, K.L.1    Sorensen, D.C.2    Khoury, D.S.3
  • 27
    • 0034548254 scopus 로고    scopus 로고
    • System identification using the extended Kalman filter with applications to medical imaging
    • Yin J, Syrmos V L and Yun D Y Y 2000 System identification using the extended Kalman filter with applications to medical imaging Proc. American Control Conf. pp 2957-61
    • (2000) Proc. American Control Conf. , pp. 2957-2961
    • Yin, J.1    Syrmos, V.L.2    Yun, D.Y.Y.3
  • 28
    • 0038697819 scopus 로고    scopus 로고
    • State space models in process tomography -approximation of state noise covariance
    • Seppanen A, Vauhkonen M, Somersalo E and Kaipio J P 2001 State space models in process tomography -approximation of state noise covariance Inv. Probl. Eng. 9 561-85
    • (2001) Inv. Probl. Eng. , vol.9 , pp. 561-585
    • Seppanen, A.1    Vauhkonen, M.2    Somersalo, E.3    Kaipio, J.P.4
  • 29
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • Golub G H, Heath M and Wahba G 1979 Generalized cross-validation as a method for choosing a good ridge parameter Technometrics 21 215-23
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 30
    • 0023294196 scopus 로고
    • Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates
    • Engl H W 1987 Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates J. Optim. Theor. Appl. 52 209-15
    • (1987) J. Optim. Theor. Appl. , vol.52 , pp. 209-215
    • Engl, H.W.1
  • 31
    • 0036684726 scopus 로고    scopus 로고
    • Efficient determination of multiple regularization parameters in a generalized L-curve framework
    • Belge M, Kilmer M E and Miller E L 2002 Efficient determination of multiple regularization parameters in a generalized L-curve framework Inverse Problems 18 1161-83
    • (2002) Inverse Problems , vol.18 , pp. 1161-1183
    • Belge, M.1    Kilmer, M.E.2    Miller, E.L.3
  • 34
    • 18844475542 scopus 로고    scopus 로고
    • Dynamic tomography using curve evolution with spatial-temporal regularization
    • Shi Y, Karl W C and Castanon D A 2002 Dynamic tomography using curve evolution with spatial-temporal regularization Proc. Int. Conf. on Image Processing pp 629-32
    • (2002) Proc. Int. Conf. on Image Processing , pp. 629-632
    • Shi, Y.1    Karl, W.C.2    Castanon, D.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.