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Volumn 27, Issue 2, 2007, Pages 175-191

A network flow algorithm for reconstructing binary images from discrete X-rays

Author keywords

Discrete tomography; Image reconstruction; Network flow problems

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; IMAGE RECONSTRUCTION; PROBLEM SOLVING; SPURIOUS SIGNAL NOISE; X RAYS;

EID: 34147126494     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-006-9798-2     Document Type: Article
Times cited : (34)

References (28)
  • 2
    • 0040765020 scopus 로고
    • The network flows approach for matrices with given row and column sums
    • R.P. Anstee, "The network flows approach for matrices with given row and column sums," Discrete Math., Vol. 44, pp. 125-138, 1983.
    • (1983) Discrete Math , vol.44 , pp. 125-138
    • Anstee, R.P.1
  • 3
    • 0030108487 scopus 로고    scopus 로고
    • Reconstructing convex polyominoes from horizontal and vertical projections
    • E. Barcucci, A. Del Lungo, M. Nivat, and R. Pinzani, "Reconstructing convex polyominoes from horizontal and vertical projections," Theoret. Comput. Sci., Vol. 155, pp. 321-347, 1996.
    • (1996) Theoret. Comput. Sci , vol.155 , pp. 321-347
    • Barcucci, E.1    Del Lungo, A.2    Nivat, M.3    Pinzani, R.4
  • 4
    • 33746873886 scopus 로고    scopus 로고
    • A new algorithm for 3D binary tomography
    • Proceedings of the Workshop on Discrete Tomography and its Applications, New York
    • K.J. Batenburg, "A new algorithm for 3D binary tomography," in Proceedings of the Workshop on Discrete Tomography and its Applications, New York, Electron. Notes Discrete Math., Vol. 20, 2005, pp. 247-261.
    • (2005) Electron. Notes Discrete Math , vol.20 , pp. 247-261
    • Batenburg, K.J.1
  • 5
    • 0035892341 scopus 로고    scopus 로고
    • Reconstruction of 4- and 8-connected convex discrete sets from row and column projections
    • S. Brunetti, A. Del Lungo, F. Del Ristoro, A. Kuba, and M. Nivat, "Reconstruction of 4- and 8-connected convex discrete sets from row and column projections," Linear Algebra Appl., Vol. 339, pp. 37-57, 2001.
    • (2001) Linear Algebra Appl , vol.339 , pp. 37-57
    • Brunetti, S.1    Del Lungo, A.2    Del Ristoro, F.3    Kuba, A.4    Nivat, M.5
  • 6
    • 0037811210 scopus 로고    scopus 로고
    • An algorithm for reconstructing lattice convex sets
    • S. Brunetti and A. Daurat, "An algorithm for reconstructing lattice convex sets," Theoret. Comput. Sci., Vol. 304, pp. 35-57, 2003.
    • (2003) Theoret. Comput. Sci , vol.304 , pp. 35-57
    • Brunetti, S.1    Daurat, A.2
  • 7
    • 0002349531 scopus 로고    scopus 로고
    • The discrete Radon transform and its approximate inversion via linear programming
    • P. Fishburn, P. Schwander, L. Shepp, and R. Vanderbei, "The discrete Radon transform and its approximate inversion via linear programming," Discrete Appl. Math., Vol. 75, pp. 39-61, 1997.
    • (1997) Discrete Appl. Math , vol.75 , pp. 39-61
    • Fishburn, P.1    Schwander, P.2    Shepp, L.3    Vanderbei, R.4
  • 8
    • 0024748699 scopus 로고
    • Faster scaling algorithms for network problems
    • H.N. Gabow and R.E. Tarjan, "Faster scaling algorithms for network problems," SIAM J. Comput., Vol. 18, pp. 1013-1036, 1989.
    • (1989) SIAM J. Comput , vol.18 , pp. 1013-1036
    • Gabow, H.N.1    Tarjan, R.E.2
  • 9
    • 84972520507 scopus 로고
    • A theorem on flows in networks
    • D. Gale, "A theorem on flows in networks," Pacific J. Math., Vol. 7, pp. 1073-1082, 1957.
    • (1957) Pacific J. Math , vol.7 , pp. 1073-1082
    • Gale, D.1
  • 10
  • 11
    • 21744459240 scopus 로고    scopus 로고
    • Discrete tomography: Determination of finite sets by X-rays
    • R.J. Gardner and P. Gritzmann, "Discrete tomography: determination of finite sets by X-rays," Trans. Amer. Math. Soc., Vol. 349, pp. 2271-95, 1997.
    • (1997) Trans. Amer. Math. Soc , vol.349 , pp. 2271-2295
    • Gardner, R.J.1    Gritzmann, P.2
  • 12
    • 0003003948 scopus 로고    scopus 로고
    • On the computational complexity of reconstructing lattice sets from their X-rays
    • R.J. Gardner, P. Gritzmann, and D. Prangenberg, "On the computational complexity of reconstructing lattice sets from their X-rays," Discrete Math., Vol. 202, pp. 45-71, 1999.
    • (1999) Discrete Math , vol.202 , pp. 45-71
    • Gardner, R.J.1    Gritzmann, P.2    Prangenberg, D.3
  • 13
    • 0001852170 scopus 로고    scopus 로고
    • An efficient implementation of a scaling minimum-cost flow algorithm
    • A.V. Goldberg, "An efficient implementation of a scaling minimum-cost flow algorithm," J. Algorithms, Vol. 22, pp. 1-29, 1997.
    • (1997) J. Algorithms , vol.22 , pp. 1-29
    • Goldberg, A.V.1
  • 14
    • 0034353735 scopus 로고    scopus 로고
    • Approximating binary images from discrete X-rays
    • P. Gritzmann, S. de Vries, and M. Wiegelmann, "Approximating binary images from discrete X-rays," SIAM J. Optim., Vol. 11, pp. 522-546, 2000.
    • (2000) SIAM J. Optim , vol.11 , pp. 522-546
    • Gritzmann, P.1    de Vries, S.2    Wiegelmann, M.3
  • 15
    • 0031673351 scopus 로고    scopus 로고
    • P. Gritzmann, D. Prangenberg, S. de Vries, and M. Wiegelmann, Success and failure of certain reconstruction and uniqueness algorithms in discrete tomography, Int. J. Imag. Syst. Tech., 9, pp. 101-109, 1998.
    • P. Gritzmann, D. Prangenberg, S. de Vries, and M. Wiegelmann, Success and failure of certain reconstruction and uniqueness algorithms in discrete tomography," Int. J. Imag. Syst. Tech., Vol. 9, pp. 101-109, 1998.
  • 16
    • 0035631865 scopus 로고    scopus 로고
    • Algebraic aspects of discrete tomography
    • L. Hajdu and R. Tijdeman, "Algebraic aspects of discrete tomography," J. Reine Angew. Math., Vol. 534, pp. 119-128, 2001.
    • (2001) J. Reine Angew. Math , vol.534 , pp. 119-128
    • Hajdu, L.1    Tijdeman, R.2
  • 17
    • 0035892316 scopus 로고    scopus 로고
    • An algorithm for discrete tomography
    • L. Hajdu and R. Tijdeman, "An algorithm for discrete tomography," Linear Algebra Appl., Vol. 339, pp. 147-169, 2001.
    • (2001) Linear Algebra Appl , vol.339 , pp. 147-169
    • Hajdu, L.1    Tijdeman, R.2
  • 19
    • 34147145637 scopus 로고    scopus 로고
    • J.R. Jinschek, K.J. Batenburg, H. Calderon, D. Van Dyck, F.-R. Chen, and C. Kisielowski, Prospects for bright field and dark field electron tomography on a discrete grid, Microsc. Microanal., 10 Suppl. 3, Cambridge Journals Online, 2004.
    • J.R. Jinschek, K.J. Batenburg, H. Calderon, D. Van Dyck, F.-R. Chen, and C. Kisielowski, "Prospects for bright field and dark field electron tomography on a discrete grid," Microsc. Microanal., Vol. 10 Suppl. 3, Cambridge Journals Online, 2004.
  • 20
    • 23844527472 scopus 로고    scopus 로고
    • J.R. Jinschek, H.A. Calderon, K.J. Batenburg, V. Radmilovicand C. Kisielowski, Discrete tomography of Ga and InGa particles from HREM image simulation and exit wave reconstruction, MRS Proc., 839, pp. 4.5.1-4.5.6, 2004.
    • J.R. Jinschek, H.A. Calderon, K.J. Batenburg, V. Radmilovicand C. Kisielowski, "Discrete tomography of Ga and InGa particles from HREM image simulation and exit wave reconstruction," MRS Proc., Vol. 839, pp. 4.5.1-4.5.6, 2004.
  • 21
    • 0029075705 scopus 로고
    • An approach to quantitative high-resolution transmission electron microscopy of crystalline materials
    • C. Kisielowski, P. Schwander, F. Baumann, M. Seibt, Y. Kim, and A. Ourmazd, "An approach to quantitative high-resolution transmission electron microscopy of crystalline materials," Ultramicroscopy, Vol. 58, pp. 131-155, 1995.
    • (1995) Ultramicroscopy , vol.58 , pp. 131-155
    • Kisielowski, C.1    Schwander, P.2    Baumann, F.3    Seibt, M.4    Kim, Y.5    Ourmazd, A.6
  • 22
    • 0001203681 scopus 로고
    • Combinatorial properties of matrices of zeros and ones
    • H.J. Ryser, "Combinatorial properties of matrices of zeros and ones," Canad. J. Math., Vol. 9, pp. 371-377, 1957.
    • (1957) Canad. J. Math , vol.9 , pp. 371-377
    • Ryser, H.J.1
  • 24
    • 0001400412 scopus 로고
    • Mapping projected potential, interfacial roughness, and composition in general crystalline solids by quantitative transmission electron microscopy
    • P. Schwander, C. Kisielowski, F. Baumann, Y. Kim, and A. Ourmazd, "Mapping projected potential, interfacial roughness, and composition in general crystalline solids by quantitative transmission electron microscopy," Phys. Rev. Lett., Vol. 71, pp. 4150-4153, 1993.
    • (1993) Phys. Rev. Lett , vol.71 , pp. 4150-4153
    • Schwander, P.1    Kisielowski, C.2    Baumann, F.3    Kim, Y.4    Ourmazd, A.5
  • 25
    • 0019999304 scopus 로고
    • A network flow approach to reconstruction of the left ventricle from two projections
    • C.H. Slump and J.J. Gerbrands, "A network flow approach to reconstruction of the left ventricle from two projections," Comput. Gr. Im. Proc., Vol. 18, pp. 18-36, 1982.
    • (1982) Comput. Gr. Im. Proc , vol.18 , pp. 18-36
    • Slump, C.H.1    Gerbrands, J.J.2
  • 26
    • 1542269554 scopus 로고
    • Projection method for solving a singular system
    • K. Tanabe, "Projection method for solving a singular system," Numer. Math., Vol. 17, pp. 203-214, 1971.
    • (1971) Numer. Math , vol.17 , pp. 203-214
    • Tanabe, K.1
  • 27
    • 0037524153 scopus 로고    scopus 로고
    • On the precise number of (0, 1)-matrices in A(R, S)
    • B. Wang and F. Zhang, "On the precise number of (0, 1)-matrices in A(R, S)," Discrete Math., Vol. 187, pp. 211-220, 1998.
    • (1998) Discrete Math , vol.187 , pp. 211-220
    • Wang, B.1    Zhang, F.2
  • 28
    • 34247168062 scopus 로고    scopus 로고
    • A linear programming relaxation for binary tomography with smoothness priors
    • S.Weber, C.Schnörr, and J.Hornegger, "A linear programming relaxation for binary tomography with smoothness priors," Electron. Notes Discrete Math., Vol. 12, 2003.
    • (2003) Electron. Notes Discrete Math , vol.12
    • Weber, S.1    Schnörr, C.2    Hornegger, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.