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Volumn 22, Issue 3, 2006, Pages 1037-1053

Truncated Hilbert transform and image reconstruction from limited tomographic data

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; IMAGE PROCESSING; INVERSE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; TOMOGRAPHY;

EID: 33744550629     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/3/019     Document Type: Article
Times cited : (188)

References (25)
  • 3
    • 21144469854 scopus 로고
    • Singularities of the x-ray transform and limited data tomography in and
    • 10.1137/0524069 0036-1410
    • Quinto E T 1993 Singularities of the x-ray transform and limited data tomography in and SIAM J. Math. Anal. 24 1215-25
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.5 , pp. 1215-1225
    • Quinto, E.T.1
  • 5
    • 4043157202 scopus 로고    scopus 로고
    • A quantitative reconstruction from truncated projections in classical tomography
    • 10.1109/TNS.2004.835781 0018-9499
    • Clackdoyle R, Noo F, Guo J and Roberts J 2004 A quantitative reconstruction from truncated projections in classical tomography IEEE Trans. Nucl. Sci. 51 2570-8
    • (2004) IEEE Trans. Nucl. Sci. , vol.51 , Issue.5 , pp. 2570-2578
    • Clackdoyle, R.1    Noo, F.2    Guo, J.3    Roberts, J.4
  • 6
    • 4043092769 scopus 로고    scopus 로고
    • A large class of inversion formulas for the 2D Radon transform of functions of compact support
    • 0266-5611 016
    • Clackdoyle R and Noo F 2004 A large class of inversion formulas for the 2D Radon transform of functions of compact support Inverse Problems 20 1281-91
    • (2004) Inverse Problems , vol.20 , Issue.4 , pp. 1281-1291
    • Clackdoyle, R.1    Noo, F.2
  • 7
    • 4544351987 scopus 로고    scopus 로고
    • A two-step Hilbert transform method for 2D image reconstruction
    • 0031-9155 006
    • Noo F, Clackdoyle R and Pack J D 2004 A two-step Hilbert transform method for 2D image reconstruction Phys. Med. Biol. 49 3903-23
    • (2004) Phys. Med. Biol. , vol.49 , Issue.17 , pp. 3903-3923
    • Noo, F.1    Clackdoyle, R.2    Pack, J.D.3
  • 8
    • 13244255699 scopus 로고    scopus 로고
    • Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan
    • 0031-9155 002
    • Zou Y, Pan X and Sidky E Y 2005 Image reconstruction in regions-of-interest from truncated projections in a reduced fan-beam scan Phys. Med. Biol. 50 13-28
    • (2005) Phys. Med. Biol. , vol.50 , Issue.1 , pp. 13-28
    • Zou, Y.1    Pan, X.2    Sidky, E.Y.3
  • 9
    • 12744260178 scopus 로고    scopus 로고
    • Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data
    • 0031-9155 007
    • Zhuang T, Leng S, Nett B E and Chen G-H 2004 Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data Phys. Med. Biol. 49 5489-503
    • (2004) Phys. Med. Biol. , vol.49 , Issue.24 , pp. 5489-5503
    • Zhuang, T.1    Leng, S.2    Nett, B.E.3    Chen, G.-H.4
  • 10
    • 9744278198 scopus 로고    scopus 로고
    • An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT
    • 0031-9155 N02
    • Zou Y and Pan X 2004 An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT Phys. Med. Biol. 49 N383
    • (2004) Phys. Med. Biol. , vol.49 , Issue.22 , pp. 383
    • Zou, Y.1    Pan, X.2
  • 11
    • 1642569142 scopus 로고    scopus 로고
    • Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT
    • 0031-9155 006
    • Zou Y and Pan X 2004 Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT Phys. Med. Biol. 49 941-59
    • (2004) Phys. Med. Biol. , vol.49 , Issue.6 , pp. 941-959
    • Zou, Y.1    Pan, X.2
  • 12
    • 11844249976 scopus 로고    scopus 로고
    • Cone-beam reconstruction using the backprojection of locally filtered projections
    • 10.1109/TMI.2004.837794 0278-0062
    • Pack J D, Noo F and Clackdoyle R 2005 Cone-beam reconstruction using the backprojection of locally filtered projections IEEE Trans. Med. Imaging 24 70-85
    • (2005) IEEE Trans. Med. Imaging , vol.24 , Issue.1 , pp. 70-85
    • Pack, J.D.1    Noo, F.2    Clackdoyle, R.3
  • 13
    • 25144440411 scopus 로고    scopus 로고
    • A general exact reconstruction for cone-beam CT via backprojection- filtration
    • 10.1109/TMI.2005.853626 0278-0062
    • Ye Y, Zhao S, Yu H and Wang G 2005 A general exact reconstruction for cone-beam CT via backprojection-filtration IEEE Trans. Med. Imaging 24 1190-8
    • (2005) IEEE Trans. Med. Imaging , vol.24 , Issue.9 , pp. 1190-1198
    • Ye, Y.1    Zhao, S.2    Yu, H.3    Wang, G.4
  • 14
    • 33744522312 scopus 로고
    • Crofton's function and inversion formulas in real integral geometry
    • 10.1007/BF01090671 0016-2663
    • Gelfand I M and Graev M I 1991 Crofton's function and inversion formulas in real integral geometry Funct. Anal. Appl. 25 1-5
    • (1991) Funct. Anal. Appl. , vol.25 , Issue.1 , pp. 1-5
    • Gelfand, I.M.1    Graev, M.I.2
  • 15
    • 0343272676 scopus 로고
    • Die Lösugen der Integralgleichung und deren Anwendung in the Tragflügeltheorie
    • 10.1007/BF01580284 0025-5874
    • Söhngen H 1937 Die Lösugen der Integralgleichung und deren Anwendung in the Tragflügeltheorie Math. Z. 45 245-64
    • (1937) Math. Z. , vol.45 , Issue.1 , pp. 245-264
    • Söhngen, H.1
  • 17
    • 85015486268 scopus 로고
    • Support of Radon transforms
    • 10.1016/0001-8708(80)90058-4 0001-8708
    • Helgason S 1980 Support of Radon transforms Adv. Math. 38 91-100
    • (1980) Adv. Math. , vol.38 , Issue.1 , pp. 91-100
    • Helgason, S.1
  • 18
    • 84972575357 scopus 로고
    • Support theorems for real-analytic Radon transforms
    • 10.1215/S0012-7094-87-05547-5 0012-7094
    • Boman J and Quinto E T 1987 Support theorems for real-analytic Radon transforms Duke Math. J. 55 943-8
    • (1987) Duke Math. J. , vol.55 , Issue.4 , pp. 943-948
    • Boman, J.1    Quinto, E.T.2
  • 22
    • 0001265430 scopus 로고
    • Analytic extrapolation techniques and stability problems in dispersion relation theory
    • 10.1016/0370-1573(75)90006-X 0370-1573
    • Ciulli S, Pomponiu C and Sabba-Stefanescu I 1975 Analytic extrapolation techniques and stability problems in dispersion relation theory Phys. Rep. 17 133-224
    • (1975) Phys. Rep. , vol.17 , Issue.4 , pp. 133-224
    • Ciulli, S.1    Pomponiu, C.2    Sabba-Stefanescu, I.3
  • 24
    • 0020191832 scopus 로고
    • Image restoration by the method of alternating orthogonal projections: Part I. Theory
    • 0278-0062
    • Youla D C and Webb H 1982 Image restoration by the method of alternating orthogonal projections: part I. Theory IEEE Trans. Med. Imaging 1 81-94
    • (1982) IEEE Trans. Med. Imaging , vol.1 , pp. 81-94
    • Youla, D.C.1    Webb, H.2
  • 25
    • 0029267626 scopus 로고
    • A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography
    • 10.1109/42.370409 0278-0062
    • de Pierro A 1995 A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography IEEE Trans. Med. Imaging 14 132-7
    • (1995) IEEE Trans. Med. Imaging , vol.14 , Issue.1 , pp. 132-137
    • De Pierro, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.