메뉴 건너뛰기




Volumn 5, Issue 3, 1996, Pages 459-470

A moment-based variational approach to tomographic reconstruction

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE ANALYSIS; IMAGING TECHNIQUES; ITERATIVE METHODS; OPTIMIZATION; PARAMETER ESTIMATION; PROBABILITY; STATISTICAL METHODS; VARIATIONAL TECHNIQUES;

EID: 0030105571     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.491319     Document Type: Article
Times cited : (50)

References (42)
  • 2
    • 36149035969 scopus 로고
    • Maximum entropy regularization of Fredholm integral equations of the first kind
    • U. Amato and W. Hughes, "Maximum entropy regularization of Fredholm integral equations of the first kind," Inverse Problems, vol. 7, pp. 793-808, 1991.
    • (1991) Inverse Problems , vol.7 , pp. 793-808
    • Amato, U.1    Hughes, W.2
  • 3
    • 0027190119 scopus 로고
    • Iterative image reconstruction algorithms based on cross-entropy minimization
    • Jan.
    • C. L. Byrne, "Iterative image reconstruction algorithms based on cross-entropy minimization," IEEE Trans. Image Processing, vol. 2, no. 1, pp. 96-103, Jan. 1993.
    • (1993) IEEE Trans. Image Processing , vol.2 , Issue.1 , pp. 96-103
    • Byrne, C.L.1
  • 6
    • 0000546609 scopus 로고
    • I-Divergence geometry of probability distributions and minimization problems
    • I. Csiszár, "I-Divergence geometry of probability distributions and minimization problems," Ann. Probab., vol. 3, pp. 146-158, 1975.
    • (1975) Ann. Probab. , vol.3 , pp. 146-158
    • Csiszár, I.1
  • 7
    • 0010159449 scopus 로고
    • A geometric interpretation of Darroch and Ratcliff's generalized iterative scaling
    • _, "A geometric interpretation of Darroch and Ratcliff's generalized iterative scaling," Ann. Stat., vol. 17, no. 3, pp. 1409-1413, 1989.
    • (1989) Ann. Stat. , vol.17 , Issue.3 , pp. 1409-1413
  • 8
    • 0001573124 scopus 로고
    • Generalized iterative scaling for log-linear models
    • J. N. Darroch and D. Ratcliff, "Generalized iterative scaling for log-linear models," Ann. Math. Stat., vol. 43, no. 5, pp. 1470-1480, 1972.
    • (1972) Ann. Math. Stat. , vol.43 , Issue.5 , pp. 1470-1480
    • Darroch, J.N.1    Ratcliff, D.2
  • 9
    • 0026154014 scopus 로고
    • The extended MENT algorithm: A maximum entropy type algorithm using prior knowledge for computerized tomography
    • May
    • N. J. Dusaussoy and I. E. Abdou, "The extended MENT algorithm: A maximum entropy type algorithm using prior knowledge for computerized tomography," IEEE Trans. Signal Processing, vol. 39, no. 5, pp. 1164-1180, May 1991.
    • (1991) IEEE Trans. Signal Processing , vol.39 , Issue.5 , pp. 1164-1180
    • Dusaussoy, N.J.1    Abdou, I.E.2
  • 11
    • 33747581732 scopus 로고
    • Image reconstruction from incomplete and noisy data
    • Apr.
    • S. F. Gull and G. J. Daniell, "Image reconstruction from incomplete and noisy data," Nature, vol. 272, pp. 686-690, Apr. 1978.
    • (1978) Nature , vol.272 , pp. 686-690
    • Gull, S.F.1    Daniell, G.J.2
  • 14
    • 0025416480 scopus 로고
    • Iterative image reconstruction for positron emission tomography: A study of convergence and quantitation problems
    • Apr.
    • S. Holte, P. Schmidlin, A Linden, G. Rosenqvist, and L. Eriksson, "Iterative image reconstruction for positron emission tomography: A study of convergence and quantitation problems," IEEE Trans. Nucl. Sci., vol. 37, no. 2, pp. 629-635, Apr. 1990.
    • (1990) IEEE Trans. Nucl. Sci. , vol.37 , Issue.2 , pp. 629-635
    • Holte, S.1    Schmidlin, P.2    Linden, A.3    Rosenqvist, G.4    Eriksson, L.5
  • 15
    • 0020187981 scopus 로고
    • On the rationale of maximum entropy methods
    • Sept
    • E. T. Jaynes, "On the rationale of maximum entropy methods," Proc. IEEE, vol. 70, no. 9, pp. 939-952, Sept 1982.
    • (1982) Proc. IEEE , vol.70 , Issue.9 , pp. 939-952
    • Jaynes, E.T.1
  • 16
    • 0025209334 scopus 로고
    • General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis
    • L. K. Jones and C. L. Byrne, "General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis," IEEE Trans. Inform. Theory, vol. 36, no. 1. pp. 23-30, 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.1 , pp. 23-30
    • Jones, L.K.1    Byrne, C.L.2
  • 19
    • 0019148442 scopus 로고
    • Picture restoration from projections in restricted range
    • A. K. Louis, "Picture restoration from projections in restricted range," Math. Meth. Appl. Sci., vol. 2, pp. 209-220, 1980.
    • (1980) Math. Meth. Appl. Sci. , vol.2 , pp. 209-220
    • Louis, A.K.1
  • 24
    • 0028668547 scopus 로고
    • Reconstructing finitely parameterized objects from projections: A statistical view
    • Sept.
    • _, "Reconstructing finitely parameterized objects from projections: A statistical view," CVGIP: Graphical Models and Image Processing, vol. 56, no. 5, pp. 371-391, Sept. 1994.
    • (1994) CVGIP: Graphical Models and Image Processing , vol.56 , Issue.5 , pp. 371-391
  • 25
    • 0018467993 scopus 로고
    • MENT: A maximum entropy algorithm for reconstructing a source from projection data
    • G. Minerbo, "MENT: A maximum entropy algorithm for reconstructing a source from projection data," Comput. Graphics Image Processing, vol. 10, pp. 48-68, 1979.
    • (1979) Comput. Graphics Image Processing , vol.10 , pp. 48-68
    • Minerbo, G.1
  • 26
    • 0005197746 scopus 로고
    • Regularization techniques in medical imaging
    • of NATO ASI Series. New York: Springer Verlag
    • F. Natterer, "Regularization techniques in medical imaging," in Mathematics and Computer Science in Medical Imaging, vol. F39 of NATO ASI Series. New York: Springer Verlag, 1988, pp. 127-141.
    • (1988) Mathematics and Computer Science in Medical Imaging , vol.F39 , pp. 127-141
    • Natterer, F.1
  • 27
    • 0026953457 scopus 로고
    • On the reconstruction aspects of moments descriptors
    • Nov.
    • M. Pawlak, "On the reconstruction aspects of moments descriptors," IEEE Trans. Inform. Theory, vol. 38, no. 6, pp. 1698-1708, Nov. 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.6 , pp. 1698-1708
    • Pawlak, M.1
  • 28
    • 0018637189 scopus 로고
    • Tomographic reconstruction from limited angular data
    • A. Peres, "Tomographic reconstruction from limited angular data," J. Comput. Assisted Tomography, vol. 3, no. 6, pp. 800-803, 1979.
    • (1979) J. Comput. Assisted Tomography , vol.3 , Issue.6 , pp. 800-803
    • Peres, A.1
  • 29
    • 0025434709 scopus 로고
    • Constrained sinogram restoration for limited-angle tomography
    • May
    • J. L. Prince and A. S. Willsky, "Constrained sinogram restoration for limited-angle tomography," Opt. Eng., vol. 29, no. 5, pp. 535-544, May 1990.
    • (1990) Opt. Eng. , vol.29 , Issue.5 , pp. 535-544
    • Prince, J.L.1    Willsky, A.S.2
  • 30
    • 0025419814 scopus 로고
    • Reconstructing convex sets from support line measurements
    • _, "Reconstructing convex sets from support line measurements," IEEE Trans. Patt. Anal. Machine Intell., vol. 12, no. 4, pp. 377-389, 1990.
    • (1990) IEEE Trans. Patt. Anal. Machine Intell. , vol.12 , Issue.4 , pp. 377-389
  • 31
    • 0001618563 scopus 로고
    • Maximum entropy algorithms for image reconstruction from projections
    • M. L. Reis and N. C. Roberty, "Maximum entropy algorithms for image reconstruction from projections," Inverse Problems, vol. 8, pp. 623-644, 1992.
    • (1992) Inverse Problems , vol.8 , pp. 623-644
    • Reis, M.L.1    Roberty, N.C.2
  • 32
    • 0002594849 scopus 로고
    • Bayesian-based iterative method of image restoration
    • Jan.
    • W. H. Richardson, "Bayesian-based iterative method of image restoration," J. Opt. Soc. Amer., vol. 62, pp. 55-59, Jan. 1972.
    • (1972) J. Opt. Soc. Amer. , vol.62 , pp. 55-59
    • Richardson, W.H.1
  • 33
    • 0015509019 scopus 로고
    • Iterative separation of sections in tomographic scintigrams
    • P. Schmidlin, "Iterative separation of sections in tomographic scintigrams," Nuclear Med., vol. 15, no. 1, pp. 1-16, 1972.
    • (1972) Nuclear Med. , vol.15 , Issue.1 , pp. 1-16
    • Schmidlin, P.1
  • 34
    • 0023288896 scopus 로고
    • Incorporation of a priori moment information into signal recovery and synthesis problems
    • M. I. Sezan and H. Stark, "Incorporation of a priori moment information into signal recovery and synthesis problems," J. Math. Anal. Appl., vol. 122, pp. 172-186, 1987.
    • (1987) J. Math. Anal. Appl. , vol.122 , pp. 172-186
    • Sezan, M.I.1    Stark, H.2
  • 36
    • 0019554604 scopus 로고
    • Minimum cross-entropy spectral analysis
    • Apr.
    • J. E. Shore, "Minimum cross-entropy spectral analysis," IEEE Trans. Acoust. Speech, Signal Processing, vol. ASSP-29, no. 2, pp. 230-237, Apr. 1981.
    • (1981) IEEE Trans. Acoust. Speech, Signal Processing , vol.ASSP-29 , Issue.2 , pp. 230-237
    • Shore, J.E.1
  • 37
    • 0019914404 scopus 로고
    • Minimum cross-entropy pattern classification
    • Jan.
    • I. E. Shore and R. M. Gray, "Minimum cross-entropy pattern classification," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-4, no. 1, pp. 11-17, Jan. 1982.
    • (1982) IEEE Trans. Pattern Anal. Machine Intell. , vol.PAMI-4 , Issue.1 , pp. 11-17
    • Shore, I.E.1    Gray, R.M.2
  • 38
    • 0019586465 scopus 로고
    • Properties of cross-entropy minimization
    • July
    • J. E. Shore and R. W. Johnson, "Properties of cross-entropy minimization," IEEE Trans. Inform. Theory, vol. IT-27, no. 4, pp. 472-482, July 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , Issue.4 , pp. 472-482
    • Shore, J.E.1    Johnson, R.W.2
  • 39
    • 0026858978 scopus 로고
    • Deblurring subject to nonnegativity constraints
    • May
    • D. L. Snyder, T. J. Shulz, and J. A. O'Sullivan, "Deblurring subject to nonnegativity constraints," IEEE Trans. Signal Processing, vol. 40, no. 5, pp. 1143-1150, May 1992.
    • (1992) IEEE Trans. Signal Processing , vol.40 , Issue.5 , pp. 1143-1150
    • Snyder, D.L.1    Shulz, T.J.2    O'Sullivan, J.A.3
  • 40
    • 0001467479 scopus 로고
    • Recovering a function from a finite number of moments
    • G. Talenti, "Recovering a function from a finite number of moments," Inverse Problems, vol. 3, pp. 501-517, 1987.
    • (1987) Inverse Problems , vol.3 , pp. 501-517
    • Talenti, G.1
  • 42
    • 0017480946 scopus 로고
    • Maximum entropy image reconstruction
    • Apr.
    • S. J. Wernecke and L. D'Addario, "Maximum entropy image reconstruction," IEEE Trans. Comput., vol. C-26, no. 4, pp. 351-364, Apr. 1977.
    • (1977) IEEE Trans. Comput. , vol.C-26 , Issue.4 , pp. 351-364
    • Wernecke, S.J.1    D'Addario, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.