메뉴 건너뛰기




Volumn 7, Issue 1, 1988, Pages 45-58

Tomographic Image Reconstruction Using the Theory of Convex Projections

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING - RECONSTRUCTION; MATHEMATICAL TRANSFORMATIONS - FOURIER TRANSFORMS;

EID: 0023981050     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/42.3928     Document Type: Article
Times cited : (81)

References (25)
  • 1
    • 0015759316 scopus 로고
    • ART: Mathematics and applications
    • G.T. Herman, A. Lent, and S.W. Rowland, “ART: Mathematics and applications,” J. Theor. Biol., vol. 42, pp. 1–32, 1973.
    • (1973) J. Theor. Biol. , vol.42 , pp. 1-32
    • Herman, G.T.1    Lent, A.2    Rowland, S.W.3
  • 2
    • 0021451119 scopus 로고
    • Tomographic image reconstructions from incomplete view data by convex projections and direct Fourier method
    • June
    • M.I. Sezan and H. Stark, “Tomographic image reconstructions from incomplete view data by convex projections and direct Fourier method,” IEEE Trans. Med. Imaging, vol. MI-3, pp. 91–98, June 1984.
    • (1984) IEEE Trans. Med. Imaging , vol.3 MI , pp. 91-98
    • Sezan, M.I.1    Stark, H.2
  • 3
    • 0019625454 scopus 로고
    • An iterative method for the extrapolation of bandlimited functions
    • A. Lent and H. Tuy, “An iterative method for the extrapolation of bandlimited functions,” J. Math. Anal. Appl., vol. 83, pp. 554–565, 1981.
    • (1981) J. Math. Anal. Appl. , vol.83 , pp. 554-565
    • Lent, A.1    Tuy, H.2
  • 4
    • 0020845935 scopus 로고
    • Iterative convolution backprojection algorithms for image reconstruction from limited data
    • Nov.
    • B.P. Medoff, W.R. Brody, M. Nassi, and A. Macovski, “Iterative convolution backprojection algorithms for image reconstruction from limited data,” J. Opt. Soc. Amer., vol. 73, pp. 1493–1500, Nov. 1983.
    • (1983) J. Opt. Soc. Amer. , vol.73 , pp. 1493-1500
    • Medoff, B.P.1    Brody, W.R.2    Nassi, M.3    Macovski, A.4
  • 5
    • 0020173780 scopus 로고
    • Phase retrieval algorithms: A comparison
    • J.R. Fienup, “Phase retrieval algorithms: A comparison,” Appl. Opt., vol. 21, pp. 2758–5769, 1982.
    • (1982) Appl. Opt. , vol.21 , pp. 2758-5769
    • Fienup, J.R.1
  • 6
    • 0021493772 scopus 로고
    • Image restoration by the method of generalized projections with application to restoration from magnitude
    • Sept.
    • A. Levi and H. Stark, “Image restoration by the method of generalized projections with application to restoration from magnitude,” J. Opt. Soc. Amer., vol. 1, pp. 932–943, Sept. 1984.
    • (1984) J. Opt. Soc. Amer. , vol.1 , pp. 932-943
    • Levi, A.1    Stark, H.2
  • 7
    • 0020191820 scopus 로고
    • Image restoration by the method of convex projections: Part II
    • Oct.
    • M.I. Sezan and H. Stark, “Image restoration by the method of convex projections: Part II,” IEEE Trans. Med. Imaging, vol. MI-1, pp. 95–101, Oct. 1982.
    • (1982) IEEE Trans. Med. Imaging , vol.1 MI , pp. 95-101
    • Sezan, M.I.1    Stark, H.2
  • 8
    • 0021005147 scopus 로고
    • An algorithm for incomplete range of views reconstruction
    • Partial Constraints, NY, Jan. pp. FA1-1, FA1–4.
    • H.K. Tuy, “An algorithm for incomplete range of views reconstruction,” in Tech. Dig., Top. Meet. Signal Recovery, Synthesis with Incomplete Inform., Partial Constraints, NY, Jan. 1983, pp. FA1-1, FA1–4.
    • (1983) Tech. Dig., Top. Meet. Signal Recovery, Synthesis with Incomplete Inform.
    • Tuy, H.K.1
  • 9
    • 84985231785 scopus 로고
    • Information recovery in missing angular data cases: An approach by the convex projection method in three dimensions
    • Jan.
    • J.M. Carazo and J.L. Carrascosa, “Information recovery in missing angular data cases: An approach by the convex projection method in three dimensions,” J. Microscopy, vol. 145, Jan. 1987.
    • (1987) J. Microscopy , vol.145
    • Carazo, J.M.1    Carrascosa, J.L.2
  • 11
    • 33845708830 scopus 로고
    • The method of projections for finding the common point of convex sets
    • L.G. Gubin, B.T. Polyak, and E.V. Raik, “The method of projections for finding the common point of convex sets,” U.S.S R. Computational Math. Math. Phys., vol. 7, no. 6, pp. 1–24, 1967.
    • (1967) U.S.S R. Computational Math. Math. Phys. , vol.7 , Issue.6 , pp. 1-24
    • Gubin, L.G.1    Polyak, B.T.2    Raik, E.V.3
  • 12
    • 0001263852 scopus 로고
    • Finding the common point of convex sets by the method of successive projection
    • L.M. Bregman, “Finding the common point of convex sets by the method of successive projection,” Dokl. Akad. Nauk SSSR, vol. 162, no. 3, pp. 487–490, 1965.
    • (1965) Dokl. Akad. Nauk SSSR , vol.162 , Issue.3 , pp. 487-490
    • Bregman, L.M.1
  • 13
    • 0010403674 scopus 로고
    • Weak convergence of the sequence of successive approximations for nonexpansive mappings
    • Z. Opial, “Weak convergence of the sequence of successive approximations for nonexpansive mappings,” Bull. Amer. Math. Soc., vol. 72, pp. 571–575, 1966.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 571-575
    • Opial, Z.1
  • 14
    • 0020191832 scopus 로고
    • Image restoration by the method of convex projections onto convex sets-Part I
    • Oct.
    • D.C. Youla and H. Webb, “Image restoration by the method of convex projections onto convex sets-Part I,” IEEE Trans. Med. Imaging, vol. MI-1, pp. 81–94, Oct. 1982.
    • (1982) IEEE Trans. Med. Imaging , vol.1 MI , pp. 81-94
    • Youla, D.C.1    Webb, H.2
  • 17
    • 84941469519 scopus 로고
    • Ph.D. dissertation, Dep. Elec. Eng., Stanford Univ., Stanford, CA
    • B.P. Medoff, “Image reconstruction from limited data,” Ph.D. dissertation, Dep. Elec. Eng., Stanford Univ., Stanford, CA, 1983.
    • (1983) Image reconstruction from limited data
    • Medoff, B.P.1
  • 18
    • 0023288896 scopus 로고
    • Incorporation of a priori moment information into signal recovery and synthesis problems
    • Feb.
    • M.I. Sezan and H. Stark, “Incorporation of a priori moment information into signal recovery and synthesis problems,” J. Math. Anal. Appl., vol. 121, Feb. 1987.
    • (1987) J. Math. Anal. Appl. , vol.121
    • Sezan, M.I.1    Stark, H.2
  • 19
    • 84941433992 scopus 로고    scopus 로고
    • A sequence { fk} is said to converge weakly to/if limK→∞ (fk, g) = (f, g) for every g U+2211; 3C. Weak convergence is also called inner product convergence.
    • A sequence { fk} is said to converge weakly to/if limK→∞ (fk, g) = (f, g) for every g ε JC. Weak convergence is also called inner product convergence.
  • 20
    • 0020718577 scopus 로고
    • Finite series-Expansion reconstruction methods
    • Y. Censor, “Finite series-Expansion reconstruction methods,” Proc. IEEE, vol. 71, pp. 409–419, 1983.
    • (1983) Proc. IEEE , vol.71 , pp. 409-419
    • Censor, Y.1
  • 21
    • 0006547483 scopus 로고
    • Signal restoration, functional analysis, and the Fredholm integral equations of the first kind
    • in H. Stark, Ed., Orlando, FL: Academic, ch. 1.
    • C.K. Rushforth, “Signal restoration, functional analysis, and the Fredholm integral equations of the first kind,” in H. Stark, Ed., Signal Recovery: Theory and Applications. Orlando, FL: Academic, 1987, ch. 1.
    • (1987) Signal Recovery: Theory and Applications
    • Rushforth, C.K.1
  • 22
    • 0016993571 scopus 로고
    • Quadratic optimization for image reconstruction-I
    • G.T. Herman and A. Lent, “Quadratic optimization for image reconstruction-I,” Comput. Graphics Image Processing, vol. 5, pp. 319–332, 1976.
    • (1976) Comput. Graphics Image Processing , vol.5 , pp. 319-332
    • Herman, G.T.1    Lent, A.2
  • 23
    • 27644440164 scopus 로고
    • A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations
    • G.T. Herman, A. Lent, and H. Hurwitz, “A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations,” J. Inst. Math. Appl., vol. 25, pp. 361–366, 1980.
    • (1980) J. Inst. Math. Appl. , vol.25 , pp. 361-366
    • Herman, G.T.1    Lent, A.2    Hurwitz, H.3
  • 24
    • 0020830119 scopus 로고
    • A computational study of reconstructional algorithms for diffraction tomography: Interpolation versus filtered backprojection
    • Oct.
    • S.X. Pan and A.C. Kak, “A computational study of reconstructional algorithms for diffraction tomography: Interpolation versus filtered backprojection,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, pp. 1262–1275, Oct. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Processing , vol.31 ASSP , pp. 1262-1275
    • Pan, S.X.1    Kak, A.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.