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Any object on earth has two fundamental properties: it is finite, and it is made of atoms.
L. Pauling and M. D. Shappell, Zeits. f. Krist. 75
1930
Earlier work this paper cites.
J.D. Bernal, I. Fankuchen, M. F. Perutz, “An X-Ray Study of Chymotrypsin and Haemoglobin.” Nature 141, 523-524 (1938)
1938
Earlier work this paper cites.
D. Sayre, “On the implication of a theorem due to Shannon”, Acta Cryst. 5
1952
Earlier work this paper cites.
W. H. Richardson, “Bayesian-Based Iterative Method of Image Restoration”. J. Opt. Soc. Am. A 62
1972
Earlier work this paper cites.
L. B. Lucy, “An iterative technique for the rectification of observed distributions”. Astronomical Journal textbf79 745-754 (1974)
1974
Earlier work this paper cites.
J. R. Fienup, “Reconstruction of an Object from the Modulus of Its Fourier Transform,” Opt. Lett. 3
1978
Earlier work this paper cites.
Y. M. Bruck and L. G. Sodin. “On the ambiguity of the image reconstruction problem.” Optics Communications, 30
1979
Earlier work this paper cites.
R. Bates. “Fourier phase problems are uniquely solvable in more than one dimension. I: Underlying theory” Optik, 61
1982
Earlier work this paper cites.
M. H. Hayes, “The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform,” IEEE Trans. ASSP 30
1982
Earlier work this paper cites.
M. H. Hayes and J. H. McClellan, “Reducible polynomials in more than one variable,” Proc. IEEE 70
1982
Earlier work this paper cites.
J. R. Fienup, “Phase retrieval algorithms: a comparison”, Appl. Opt. 21
1982
Earlier work this paper cites.
J. P. Abrahams, A. W. G. Leslie, Acta Cryst. 52
1996
Cited alongside, same era.
P. L. Combettes, “The Convex Feasibility Problem in Image Recovery, in Advances in Imaging and Electron Physics,” (P. Hawkes, Ed.), vol. 95, pp. 155-270. (Academic Press,New York 1996)
1996
Cited alongside, same era.
J. Miao, P. Charalambous, J. Kirz, D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400
1999
Cited alongside, same era.
J.R. Fienup, “Phase Retrieval for Undersampled Broadband Images,”, J. Opt. Soc. Am. A 16
1999
Cited alongside, same era.
L. D. Marks, W. Sinkler and E. Landree, “A Feasible Set Approach to the Crystallographic Phase Problem”, Acta Cryst. A55
1999
Cited alongside, same era.
D. R. Luke, “Relaxed Averaged Alternating Reflections for Diffraction Imaging,” Inverse Problems 21
2005
Later among the works it cites.
G. Oszlànyi and A. Süto, “Ab initio structure solution by charge flipping. II. Use of weak reflections,” Acta Crystallogr. A61
2005
Later among the works it cites.
D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. Neiman, D. Sayre, “Biological imaging by soft x-ray diffraction microscopy,” Proc. Nat. Acc. Sci. 102
2006
Later among the works it cites.
E. J. Candès, J. Romberg and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inform. Theory, 52
2006
Later among the works it cites.
J. Wu, K. Leinenweber, J. C. H. Spence, “Ab initio phasing of X-ray powder diffraction patterns by charge flipping,” Nature Materials 5
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S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, J.C.H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68
2003
Cited alongside, same era.
V. Elser, “Phase retrieval by iterated projections,” J. Opt. Soc. Am. A 20
2003
Cited alongside, same era.
H. H. Bauschke, P. L. Combettes, and D. R. Luke, “Hybrid projection reflection method for phase retrieval,” J. Opt. Soc. Am. A 20
2003
Cited alongside, same era.
G. Oszlányi and A. Süto, “Ab initio structure solution by charge flipping,” Acta Cryst. A60
2004
Cited alongside, same era.
E. J. Candés, D. L. Donoho, “New tight frames of curvelets and optimal Representations of objects with piecewise C 2 singularities.” Comm. Pure Appl. Math. 57
2004
Cited alongside, same era.
2004
Cited alongside, same era.
E. van den Berg and M. P. Friedlander, SPGL1: A solver for large-scale sparse reconstruction, http://www.cs.ubc.ca/labs/scl/index.php/Main/Spgl1
Cited in the paper.
2006
Later among the works it cites.
P. W. Hawkes & J. C. H. Spence (Eds.), Science of Microscopy
2007
Later among the works it cites.
M. L. Moravec, J. K. Romberg, R. G. Baraniuk, Richard, Compressive phase retrieval, Wavelets XII. Proc. SPIE 6701
2007
Later among the works it cites.
S. Marchesini, “A unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Inst. 78
2007
Later among the works it cites.
S. Marchesini, J. Opt. Soc. Am. A24,32890-3296 (2007), [arXiv:physics/0611233]
2007
Later among the works it cites.
2008
Closest in time.
E. van den Berg and M. P. Friedlander, ”Probing the Pareto frontier for basis pursuit solutions”, UBC Computer Science Technical Report TR-2008-01, January 2008. Available at http://www.optimization-online.org/DB_F
2008
Closest in time.