메뉴 건너뛰기




Volumn 25, Issue 11, 2008, Pages 2846-2850

Maximum entropy method for diffractive imaging

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLOGRAPHY; DEGREES OF FREEDOM (MECHANICS);

EID: 61349152461     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.002846     Document Type: Article
Times cited : (7)

References (31)
  • 1
    • 0000433073 scopus 로고
    • Some implications of a theorem due to Shannon
    • D. Sayre, "Some implications of a theorem due to Shannon," Acta Crystallogr. 5, 843 (1952).
    • (1952) Acta Crystallogr , vol.5 , pp. 843
    • Sayre, D.1
  • 2
    • 0015327061 scopus 로고
    • A practical algorithm for the determination of phase from image and diffraction plane pictures
    • R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).
    • (1972) Optik (Stuttgart) , vol.35 , pp. 237-246
    • Gerchberg, R.W.1    Saxton, W.O.2
  • 3
    • 0020173780 scopus 로고
    • Phase retrieval algorithms: A comparison
    • J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982).
    • (1982) Appl. Opt , vol.21 , pp. 2758-2769
    • Fienup, J.R.1
  • 4
    • 0033595278 scopus 로고    scopus 로고
    • Extending the methodology of x-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
    • J. Miao, P. Charalambous, J. Kirz, and D. Sayre, "Extending the methodology of x-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens," Nature (London) 400, 342-344 (1999).
    • (1999) Nature (London) , vol.400 , pp. 342-344
    • Miao, J.1    Charalambous, P.2    Kirz, J.3    Sayre, D.4
  • 6
    • 0038236988 scopus 로고    scopus 로고
    • Phase retrieval of diffraction patterns from noncrystalline samples using the oversampling method
    • J. Miao, T. Ishikawa, E. H. Anderson, and K. O. Hodgson, "Phase retrieval of diffraction patterns from noncrystalline samples using the oversampling method," Phys. Rev. B 67, 174104 (2003).
    • (2003) Phys. Rev. B , vol.67 , pp. 174104
    • Miao, J.1    Ishikawa, T.2    Anderson, E.H.3    Hodgson, K.O.4
  • 7
    • 0742305074 scopus 로고    scopus 로고
    • Image reconstruction of nanostructured nonperiodic objects only from oversampled hard x-ray diffraction intensities
    • Phys. Rev. B, 220101R, October
    • Y. Nishino, J. Miao, and T. Ishikawa, "Image reconstruction of nanostructured nonperiodic objects only from oversampled hard x-ray diffraction intensities," Phys. Rev. B 68, 220101(R) (2003); http://www.nature.com/nphys/journal/v2/n12/index.html (October 2008).
    • (2003) , vol.68
    • Nishino, Y.1    Miao, J.2    Ishikawa, T.3
  • 8
  • 9
    • 0036190212 scopus 로고    scopus 로고
    • Image reconstruction from electron and X-ray diffraction patterns using iterative algorithms: Experiment and simulation
    • U. Weierstall, Q. Chen, J. C. H. Spence, M. R. Howells, M. Isaacson, and R. R. Panepucci, "Image reconstruction from electron and X-ray diffraction patterns using iterative algorithms: experiment and simulation," Ultramicroscopy 90, 171-195 (2002).
    • (2002) Ultramicroscopy , vol.90 , pp. 171-195
    • Weierstall, U.1    Chen, Q.2    Spence, J.C.H.3    Howells, M.R.4    Isaacson, M.5    Panepucci, R.R.6
  • 10
    • 0038780636 scopus 로고    scopus 로고
    • Atomic resolution imaging of a carbon nanotube from diffraction intensities
    • J. M. Zuo, I. Vartanyants, M. Gao, R. Zhang, and L. A. Nagahara, "Atomic resolution imaging of a carbon nanotube from diffraction intensities," Science 300, 1419-1421 (2003).
    • (2003) Science , vol.300 , pp. 1419-1421
    • Zuo, J.M.1    Vartanyants, I.2    Gao, M.3    Zhang, R.4    Nagahara, L.A.5
  • 11
    • 38349099248 scopus 로고    scopus 로고
    • Diffraction microscopy using 20 kV electron beam for multiwall carbon nanotubes
    • O. Kamimura, K. Kawahara, T. Doi, T. Dobashi, T. Abe, and K. Gohara, "Diffraction microscopy using 20 kV electron beam for multiwall carbon nanotubes," Appl. Phys. Lett. 92, 024106 (2008).
    • (2008) Appl. Phys. Lett , vol.92 , pp. 024106
    • Kamimura, O.1    Kawahara, K.2    Doi, T.3    Dobashi, T.4    Abe, T.5    Gohara, K.6
  • 12
    • 34548397545 scopus 로고    scopus 로고
    • Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams
    • R. L. Sandberg et al., "Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams," Phys. Rev. Lett. 99, 098103 (2007).
    • (2007) Phys. Rev. Lett , vol.99 , pp. 098103
    • Sandberg, R.L.1
  • 13
    • 34948817122 scopus 로고    scopus 로고
    • Diffractive (Lensless) imaging
    • P. W. Hawkes and J. C. H. Spence, eds, Springer, Chap. 19
    • J. C. H. Spence, "Diffractive (Lensless) imaging," in Science of Microscopy, P. W. Hawkes and J. C. H. Spence, eds. (Springer, 2007), Chap. 19.
    • (2007) Science of Microscopy
    • Spence, J.C.H.1
  • 14
    • 84975597896 scopus 로고
    • Phase retrieval in crystallography and optics
    • R. P. Millane, "Phase retrieval in crystallography and optics," J. Opt. Soc. Am. A 7, 394-411 (1990).
    • (1990) J. Opt. Soc. Am. A , vol.7 , pp. 394-411
    • Millane, R.P.1
  • 15
    • 0019895682 scopus 로고
    • Electron density images from imperfect data by iterative entropy maximization
    • D. M. Collins, "Electron density images from imperfect data by iterative entropy maximization," Nature (London) 298, 49-51 (1982).
    • (1982) Nature (London) , vol.298 , pp. 49-51
    • Collins, D.M.1
  • 16
    • 33747581732 scopus 로고
    • Image reconstruction from incomplete and noisy data
    • S. F. Gull and G. J. Daniell, "Image reconstruction from incomplete and noisy data," Nature (London) 272, 686-690 (1978).
    • (1978) Nature (London) , vol.272 , pp. 686-690
    • Gull, S.F.1    Daniell, G.J.2
  • 17
    • 0000325457 scopus 로고
    • Maximum entropy solution of a small centrosymmetric crystal structure
    • S. F. Gull, A. K. Livesey, and D. S. Sivia, "Maximum entropy solution of a small centrosymmetric crystal structure," Acta Crystallogr. 43, 112-117 (1987).
    • (1987) Acta Crystallogr , vol.43 , pp. 112-117
    • Gull, S.F.1    Livesey, A.K.2    Sivia, D.S.3
  • 18
    • 0015319572 scopus 로고
    • Restoring with maximum likelihood and maximum entropy
    • B. R. Frieden, "Restoring with maximum likelihood and maximum entropy," J. Opt. Soc. Am. 62, 511 (1972).
    • (1972) J. Opt. Soc. Am , vol.62 , pp. 511
    • Frieden, B.R.1
  • 19
    • 25544477906 scopus 로고
    • Information theory and the 'phase problem' in crystallography
    • O. E. Piro, "Information theory and the 'phase problem' in crystallography," Acta Crystallogr. A39, 61-68 (1983).
    • (1983) Acta Crystallogr , vol.A39 , pp. 61-68
    • Piro, O.E.1
  • 20
    • 84894390839 scopus 로고    scopus 로고
    • W. Wei, Application of the maximum entropy method to electron density determination, J. Appl. Crystallogr. 18, 442-445 (1985). 2850 J. Opt. Soc. Am. A/25, No. 11/November 2008 H. Shioya and K. Gohara
    • W. Wei, "Application of the maximum entropy method to electron density determination," J. Appl. Crystallogr. 18, 442-445 (1985). 2850 J. Opt. Soc. Am. A/Vol. 25, No. 11/November 2008 H. Shioya and K. Gohara
  • 21
    • 84894390709 scopus 로고
    • Low-resolution phase extension and refinement by maximum entropy
    • A. Podjarny, D. Moras, J. Navaza, and P. M. Alizari, "Low-resolution phase extension and refinement by maximum entropy," Acta Crystallogr. A44, 545-551 (1988).
    • (1988) Acta Crystallogr , vol.A44 , pp. 545-551
    • Podjarny, A.1    Moras, D.2    Navaza, J.3    Alizari, P.M.4
  • 22
    • 20644447737 scopus 로고
    • Accurate structure analysis by the maximum-entropy method
    • M. Sakata and M. Sato, "Accurate structure analysis by the maximum-entropy method," Acta Crystallogr. 46, 63 (1990).
    • (1990) Acta Crystallogr , vol.46 , pp. 63
    • Sakata, M.1    Sato, M.2
  • 23
    • 33748465897 scopus 로고    scopus 로고
    • Generalized phase retrieval algorithm based on information measures
    • H. Shioya and K. Gohara, "Generalized phase retrieval algorithm based on information measures," Opt. Commun. 266, 88-93 (2006).
    • (2006) Opt. Commun , vol.266 , pp. 88-93
    • Shioya, H.1    Gohara, K.2
  • 24
    • 33846572872 scopus 로고    scopus 로고
    • Phase retrieval from noisy data based on minimization of penalized I-divergence
    • K. Choi and A. Lanterman, "Phase retrieval from noisy data based on minimization of penalized I-divergence," J. Opt. Soc. Am. A 24, 34-49 (2007).
    • (2007) J. Opt. Soc. Am. A , vol.24 , pp. 34-49
    • Choi, K.1    Lanterman, A.2
  • 25
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J. 27, 379-423, 623-656 (1948).
    • (1948) Bell Syst. Tech. J , vol.27 , Issue.379-423 , pp. 623-656
    • Shannon, C.E.1
  • 26
    • 0001927585 scopus 로고
    • On information and sufficiency
    • S. Kullback and R. A. Leibler, "On information and sufficiency," Ann. Math. Stat. 22, 79-86 (1951).
    • (1951) Ann. Math. Stat , vol.22 , pp. 79-86
    • Kullback, S.1    Leibler, R.A.2
  • 27
    • 0002743439 scopus 로고
    • On topological properties of f-divergences
    • I. Csiszár, "On topological properties of f-divergences," Stud. Sci. Math. Hung. 2, 329-339 (1967).
    • (1967) Stud. Sci. Math. Hung , vol.2 , pp. 329-339
    • Csiszár, I.1
  • 28
    • 0025595687 scopus 로고
    • Why least squares and maximum entropy? An axiomatic approach to inverse problems
    • I. Csiszár, "Why least squares and maximum entropy? An axiomatic approach to inverse problems," Ann. Stat. 19, 2033-2066 (1991).
    • (1991) Ann. Stat , vol.19 , pp. 2033-2066
    • Csiszár, I.1
  • 29
    • 10644293057 scopus 로고    scopus 로고
    • Ab initio structure solution by charge flipping
    • G. Oszlanyi and A. Suto, "Ab initio structure solution by charge flipping," Acta Crystallogr. 60, 134-141 (2004).
    • (2004) Acta Crystallogr , vol.60 , pp. 134-141
    • Oszlanyi, G.1    Suto, A.2
  • 30
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • E. T. Jayes, "Information theory and statistical mechanics," Phys. Rev. 106, 620-630 (1957).
    • (1957) Phys. Rev , vol.106 , pp. 620-630
    • Jayes, E.T.1
  • 31
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics. II
    • E. T. Jayes, "Information theory and statistical mechanics. II," Phys. Rev. 108, 171-175 (1957).
    • (1957) Phys. Rev , vol.108 , pp. 171-175
    • Jayes, E.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.