메뉴 건너뛰기




Volumn 62, Issue 6 B, 2000, Pages 8175-8181

Granule-by-granule reconstruction of a sandpile from X-ray microtomography data

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANISOTROPY; BOUNDARY CONDITIONS; CORRELATION METHODS; GRANULAR MATERIALS; IMAGE PROCESSING; OBJECT RECOGNITION; PERTURBATION TECHNIQUES; SAND;

EID: 0034505711     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.8175     Document Type: Article
Times cited : (101)

References (72)
  • 2
    • 0003882924 scopus 로고
    • edited by H. Ehrenreich and D. Turnbull Academic, Boston
    • See D. R. Nelson and F. Spaepan, in Solid State Physics, edited by H. Ehrenreich and D. Turnbull (Academic, Boston, 1989), Vol. 42, p. 1, and references therein.
    • (1989) Solid State Physics , vol.42 , pp. 1
    • Nelson, D.R.1    Spaepan, F.2
  • 3
    • 0032000427 scopus 로고    scopus 로고
    • A. Coniglio, Philos. Mag. B 77, 213 (1998); R. A. Guyer, J. Ten Cate, and P. Johnson, Phys. Rev. Lett. 82, 3280 (1999); D. L. Johnson, H. A. Makse, N. Gland, and L. Schwartz, Physica B 279, 134 (2000).
    • (1998) Philos. Mag. B , vol.77 , pp. 213
    • Coniglio, A.1
  • 4
    • 0001545991 scopus 로고    scopus 로고
    • A. Coniglio, Philos. Mag. B 77, 213 (1998); R. A. Guyer, J. Ten Cate, and P. Johnson, Phys. Rev. Lett. 82, 3280 (1999); D. L. Johnson, H. A. Makse, N. Gland, and L. Schwartz, Physica B 279, 134 (2000).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3280
    • Guyer, R.A.1    Ten Cate, J.2    Johnson, P.3
  • 5
    • 0033896407 scopus 로고    scopus 로고
    • A. Coniglio, Philos. Mag. B 77, 213 (1998); R. A. Guyer, J. Ten Cate, and P. Johnson, Phys. Rev. Lett. 82, 3280 (1999); D. L. Johnson, H. A. Makse, N. Gland, and L. Schwartz, Physica B 279, 134 (2000).
    • (2000) Physica B , vol.279 , pp. 134
    • Johnson, D.L.1    Makse, H.A.2    Gland, N.3    Schwartz, L.4
  • 6
    • 5844290410 scopus 로고
    • P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); A. Mehta and G. C. Barker, Rep. Prog. Phys. 57, 383 (1994); D. L. Turcotte, ibid. 62, 1377 (1999).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 381
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 7
    • 0000802606 scopus 로고
    • P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); A. Mehta and G. C. Barker, Rep. Prog. Phys. 57, 383 (1994); D. L. Turcotte, ibid. 62, 1377 (1999).
    • (1994) Rep. Prog. Phys. , vol.57 , pp. 383
    • Mehta, A.1    Barker, G.C.2
  • 8
    • 0006381221 scopus 로고    scopus 로고
    • P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); A. Mehta and G. C. Barker, Rep. Prog. Phys. 57, 383 (1994); D. L. Turcotte, ibid. 62, 1377 (1999).
    • (1999) Rep. Prog. Phys. , vol.62 , pp. 1377
    • Turcotte, D.L.1
  • 10
    • 0010333409 scopus 로고
    • J. D. Bernal, Nature (London) 183, 141 (1959); J. D. Bernal, Proc. R. Soc. London, Ser. A 280, 299 (1964).
    • (1959) Nature (London) , vol.183 , pp. 141
    • Bernal, J.D.1
  • 12
    • 77956902304 scopus 로고
    • edited by F. Seitz and D. Turnbull Academic, New York
    • See C. S. Cargill III, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New York, 1975), Vol. 30, p. 227.
    • (1975) Solid State Physics , vol.30 , pp. 227
    • Cargill III, C.S.1
  • 14
    • 33845544986 scopus 로고
    • J. D. Bernal and G. Mason, Nature (London) 188, 910 (1960); J. D. Bernal, G. Mason, and K. R. Knight, ibid. 194, 958 (1962); J. D. Bernal, I. A. Cherry, J. L. Finney, and K. R. Knight, J. Phys. E 3, 388 (1970).
    • (1960) Nature (London) , vol.188 , pp. 910
    • Bernal, J.D.1    Mason, G.2
  • 15
    • 33845544986 scopus 로고
    • J. D. Bernal and G. Mason, Nature (London) 188, 910 (1960); J. D. Bernal, G. Mason, and K. R. Knight, ibid. 194, 958 (1962); J. D. Bernal, I. A. Cherry, J. L. Finney, and K. R. Knight, J. Phys. E 3, 388 (1970).
    • (1962) Nature (London) , vol.194 , pp. 958
    • Bernal, J.D.1    Mason, G.2    Knight, K.R.3
  • 16
    • 0014792121 scopus 로고
    • J. D. Bernal and G. Mason, Nature (London) 188, 910 (1960); J. D. Bernal, G. Mason, and K. R. Knight, ibid. 194, 958 (1962); J. D. Bernal, I. A. Cherry, J. L. Finney, and K. R. Knight, J. Phys. E 3, 388 (1970).
    • (1970) J. Phys. E , vol.3 , pp. 388
    • Bernal, J.D.1    Cherry, I.A.2    Finney, J.L.3    Knight, K.R.4
  • 17
    • 35148867317 scopus 로고
    • G. D. Scott, Nature (London) 188, 908 (1960); 193, 465 (1962); G. D. Scott and D. M. Kilgour, Jr., J. Phys. D 2, 863 (1969).
    • (1960) Nature (London) , vol.188 , pp. 908
    • Scott, G.D.1
  • 18
    • 0001019137 scopus 로고
    • G. D. Scott, Nature (London) 188, 908 (1960); 193, 465 (1962); G. D. Scott and D. M. Kilgour, Jr., J. Phys. D 2, 863 (1969).
    • (1962) Nature (London) , vol.193 , pp. 465
  • 19
    • 36149075377 scopus 로고
    • G. D. Scott, Nature (London) 188, 908 (1960); 193, 465 (1962); G. D. Scott and D. M. Kilgour, Jr., J. Phys. D 2, 863 (1969).
    • (1969) J. Phys. D , vol.2 , pp. 863
    • Scott, G.D.1    Kilgour Jr., D.M.2
  • 21
    • 84972514219 scopus 로고
    • H. S. M. Coxeter, Ill. J. Math. 2, 746 (1958); H. S. M. Coxeter, Regular Polytopes (Dover, New Jersey, 1973); H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley, New York, 1989); M. Kleman and J. F. Sadoc, J. Phys. (France) Lett. 40, L569 (1979); J. F. Sadoc, J. Phys. (Paris), Colloq. 41, C8-326 (1980).
    • (1958) Ill. J. Math. , vol.2 , pp. 746
    • Coxeter, H.S.M.1
  • 22
    • 84972514219 scopus 로고
    • Dover, New Jersey
    • H. S. M. Coxeter, Ill. J. Math. 2, 746 (1958); H. S. M. Coxeter, Regular Polytopes (Dover, New Jersey, 1973); H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley, New York, 1989); M. Kleman and J. F. Sadoc, J. Phys. (France) Lett. 40, L569 (1979); J. F. Sadoc, J. Phys. (Paris), Colloq. 41, C8-326 (1980).
    • (1973) Regular Polytopes
    • Coxeter, H.S.M.1
  • 23
    • 84972514219 scopus 로고
    • Wiley, New York
    • H. S. M. Coxeter, Ill. J. Math. 2, 746 (1958); H. S. M. Coxeter, Regular Polytopes (Dover, New Jersey, 1973); H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley, New York, 1989); M. Kleman and J. F. Sadoc, J. Phys. (France) Lett. 40, L569 (1979); J. F. Sadoc, J. Phys. (Paris), Colloq. 41, C8-326 (1980).
    • (1989) Introduction to Geometry, 2nd Ed.
    • Coxeter, H.S.M.1
  • 24
    • 0018545254 scopus 로고
    • H. S. M. Coxeter, Ill. J. Math. 2, 746 (1958); H. S. M. Coxeter, Regular Polytopes (Dover, New Jersey, 1973); H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley, New York, 1989); M. Kleman and J. F. Sadoc, J. Phys. (France) Lett. 40, L569 (1979); J. F. Sadoc, J. Phys. (Paris), Colloq. 41, C8-326 (1980).
    • (1979) J. Phys. (France) Lett. , vol.40
    • Kleman, M.1    Sadoc, J.F.2
  • 25
    • 84972514219 scopus 로고
    • H. S. M. Coxeter, Ill. J. Math. 2, 746 (1958); H. S. M. Coxeter, Regular Polytopes (Dover, New Jersey, 1973); H. S. M. Coxeter, Introduction to Geometry, 2nd ed. (Wiley, New York, 1989); M. Kleman and J. F. Sadoc, J. Phys. (France) Lett. 40, L569 (1979); J. F. Sadoc, J. Phys. (Paris), Colloq. 41, C8-326 (1980).
    • (1980) J. Phys. (Paris), Colloq. , vol.41
    • Sadoc, J.F.1
  • 26
    • 0000492511 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 982
    • Nelson, D.R.1
  • 27
    • 4243173578 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1983) Phys. Rev. B , vol.28 , pp. 5515
  • 28
    • 0000377177 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 2198
    • Sethna, J.1
  • 29
    • 0000135954 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1947
    • Sachdev, S.1    Nelson, D.R.2
  • 30
    • 0342976584 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1985) Phys. Rev. B , vol.31 , pp. 6278
    • Sethna, J.P.1
  • 31
    • 0001163294 scopus 로고
    • D. R. Nelson, Phys. Rev. Lett. 50, 982 (1983); Phys. Rev. B 28, 5515 (1983); J. Sethna, Phys. Rev. Lett. 51, 2198 (1983); S. Sachdev and D. R. Nelson, ibid. 53, 1947 (1984); J. P. Sethna, Phys. Rev. B 31, 6278 (1985); S. Sachdev and D. R. Nelson, ibid. 32, 1480 (1985).
    • (1985) Phys. Rev. B , vol.32 , pp. 1480
    • Sachdev, S.1    Nelson, D.R.2
  • 33
    • 33646436227 scopus 로고
    • P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. Lett. 47, 1297 (1981); Phys. Rev. B 28, 784 (1983).
    • (1983) Phys. Rev. B , vol.28 , pp. 784
  • 35
    • 35949012366 scopus 로고
    • H. Jonnson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988); R. M. Ernst, S. R. Nagel, and G. S. Grest, Phys. Rev. B 43, 8070 (1991); M. D. Rintoul and S. Torquato, J. Chem. Phys. 105, 9258 (1996).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2295
    • Jonnson, H.1    Andersen, H.C.2
  • 36
    • 0001666007 scopus 로고
    • H. Jonnson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988); R. M. Ernst, S. R. Nagel, and G. S. Grest, Phys. Rev. B 43, 8070 (1991); M. D. Rintoul and S. Torquato, J. Chem. Phys. 105, 9258 (1996).
    • (1991) Phys. Rev. B , vol.43 , pp. 8070
    • Ernst, R.M.1    Nagel, S.R.2    Grest, G.S.3
  • 37
    • 0000266047 scopus 로고    scopus 로고
    • H. Jonnson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988); R. M. Ernst, S. R. Nagel, and G. S. Grest, Phys. Rev. B 43, 8070 (1991); M. D. Rintoul and S. Torquato, J. Chem. Phys. 105, 9258 (1996).
    • (1996) J. Chem. Phys. , vol.105 , pp. 9258
    • Rintoul, M.D.1    Torquato, S.2
  • 39
    • 33747862408 scopus 로고
    • S. Torquato, Appl. Mech. Rev. 44, 37 (1991), and references therein; J. Quintanilla, Polym. Eng. Sci. 39, 559 (1999), and references therein.
    • (1991) Appl. Mech. Rev. , vol.44 , pp. 37
    • Torquato, S.1
  • 40
    • 0033099157 scopus 로고    scopus 로고
    • S. Torquato, Appl. Mech. Rev. 44, 37 (1991), and references therein; J. Quintanilla, Polym. Eng. Sci. 39, 559 (1999), and references therein.
    • (1999) Polym. Eng. Sci. , vol.39 , pp. 559
    • Quintanilla, J.1
  • 41
    • 0033489498 scopus 로고    scopus 로고
    • See E. Fukushima, Annu. Rev. Fluid Mech. 31, 95 (1999), and references therein; E. E. Ehrichs, J. K. Flint, H. M. Jaeger, J. B. Knight, S. R. Nagel, G. S. Karczmar, and V. Y. Kuperman, Philos. Trans. R. Soc. London, Ser. A 356, 2561 (1998); T. Shinbrot, A. Alexander, and F. J. Muzzio, Nature (London) 397, 675 (1999).
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 95
    • Fukushima, E.1
  • 43
    • 0033602105 scopus 로고    scopus 로고
    • See E. Fukushima, Annu. Rev. Fluid Mech. 31, 95 (1999), and references therein; E. E. Ehrichs, J. K. Flint, H. M. Jaeger, J. B. Knight, S. R. Nagel, G. S. Karczmar, and V. Y. Kuperman, Philos. Trans. R. Soc. London, Ser. A 356, 2561 (1998); T. Shinbrot, A. Alexander, and F. J. Muzzio, Nature (London) 397, 675 (1999).
    • (1999) Nature (London) , vol.397 , pp. 675
    • Shinbrot, T.1    Alexander, A.2    Muzzio, F.J.3
  • 44
    • 0000197342 scopus 로고
    • A. Van Blaaderen and P. Wiltzius, Science 270, 1177 (1995); E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, ibid. 287, 627 (2000).
    • (1995) Science , vol.270 , pp. 1177
    • Van Blaaderen, A.1    Wiltzius, P.2
  • 55
    • 0033531394 scopus 로고    scopus 로고
    • F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. F. Rajewsky, M. Bartscher, and T. Biermann, Biophys. J. 76, 98 (1999); T. E. Gureyev, C. Raven, A. Snigirev, I. Snigireva, and S. W. Wilkins, J. Phys. D 32, 563 (1999); A. Momose, T. Takeda, Y. Itai, A. Yoneyama, and K. Hirano, J. Synchrotron Radiat. 5, 309 (1998).
    • (1999) J. Phys. D , vol.32 , pp. 563
    • Gureyev, T.E.1    Raven, C.2    Snigirev, A.3    Snigireva, I.4    Wilkins, S.W.5
  • 56
    • 0032375792 scopus 로고    scopus 로고
    • F. Beckmann, K. Heise, B. Kolsch, U. Bonse, M. F. Rajewsky, M. Bartscher, and T. Biermann, Biophys. J. 76, 98 (1999); T. E. Gureyev, C. Raven, A. Snigirev, I. Snigireva, and S. W. Wilkins, J. Phys. D 32, 563 (1999); A. Momose, T. Takeda, Y. Itai, A. Yoneyama, and K. Hirano, J. Synchrotron Radiat. 5, 309 (1998).
    • (1998) J. Synchrotron Radiat. , vol.5 , pp. 309
    • Momose, A.1    Takeda, T.2    Itai, Y.3    Yoneyama, A.4    Hirano, K.5
  • 59
    • 33646397093 scopus 로고    scopus 로고
    • unpublished
    • G. Martinez and G. T. Seidler (unpublished). Complete information on the Hough circle transform can be found in Ref. [33].
    • Martinez, G.1    Seidler, G.T.2
  • 60
    • 33646404964 scopus 로고    scopus 로고
    • U.S. Patent No. 3069654 (1962)
    • P. V. C. Hough, U.S. Patent No. 3069654 (1962).
    • Hough, P.V.C.1
  • 63
    • 29844444795 scopus 로고
    • edited by C. Domb and M. S. Green Academic, New York
    • See, for example, R. Collins, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1972), Vol. 2.
    • (1972) Phase Transitions and Critical Phenomena , vol.2
    • Collins, R.1
  • 67
    • 18344372651 scopus 로고    scopus 로고
    • J. B. Knight, E. E. Ehrichs, V. Y. Kuperman, J. K. Flint, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 54, 5726 (1996); D. Howell, R. P. Behringer, and C. Veje, Phys. Rev. Lett. 82, 5241 (1999); J. A. Astrom, H. J. Herrmann, and J. Timonen, ibid. 84, 638 (2000).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 5241
    • Howell, D.1    Behringer, R.P.2    Veje, C.3
  • 68
    • 0041334936 scopus 로고    scopus 로고
    • J. B. Knight, E. E. Ehrichs, V. Y. Kuperman, J. K. Flint, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 54, 5726 (1996); D. Howell, R. P. Behringer, and C. Veje, Phys. Rev. Lett. 82, 5241 (1999); J. A. Astrom, H. J. Herrmann, and J. Timonen, ibid. 84, 638 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 638
    • Astrom, J.A.1    Herrmann, H.J.2    Timonen, J.3
  • 70
    • 0034721175 scopus 로고    scopus 로고
    • X-ray microtomography of granular beds is certainly possible at bending magnet beamlines, but the decreased intensity will require a much larger granule size, thus restricting the vertical height (in units of D) of the sample in the 2-mm high beam; D. M. Mueth, G. F. Debregeas, G. S. Karczmar, P. J. Eng, S. R. Nagel, and H. M. Jaeger, Nature (London) 406, 385 (2000). Also see O. G. Duliu, Earth-Sci. Rev. 48, 265 (1999), and references therein for applications of x-ray tomography to the geosciences.
    • (2000) Nature (London) , vol.406 , pp. 385
    • Mueth, D.M.1    Debregeas, G.F.2    Karczmar, G.S.3    Eng, P.J.4    Nagel, S.R.5    Jaeger, H.M.6
  • 71
    • 0033507316 scopus 로고    scopus 로고
    • X-ray microtomography of granular beds is certainly possible at bending magnet beamlines, but the decreased intensity will require a much larger granule size, thus restricting the vertical height (in units of D) of the sample in the 2-mm high beam; D. M. Mueth, G. F. Debregeas, G. S. Karczmar, P. J. Eng, S. R. Nagel, and H. M. Jaeger, Nature (London) 406, 385 (2000). Also see O. G. Duliu, Earth-Sci. Rev. 48, 265 (1999), and references therein for applications of x-ray tomography to the geosciences.
    • (1999) Earth-Sci. Rev. , vol.48 , pp. 265
    • Duliu, O.G.1
  • 72
    • 33646412369 scopus 로고    scopus 로고
    • private communication
    • One may speculate about additional technological improvements relevant to data collection rate. For example, projected improvements in frame transfer rates using the IEEE1394 interface in addition to the use of a multilayer monochromator (bandwidth of 50 eV) would together yield at least an order of magnitude improvement in data collection rates before reaching a data mass storage bottleneck; D. Mancini (private communication).
    • Mancini, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.