Reconstructing symmetric images from their undersampled Fourier intensities

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 14, Issue 3, 1997, Pages 568-579

  Millane, R P ^a   Stroud, W J ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001212774     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.000568     Document Type: Article

References (29)

1. R. H. T. Bates and M. J. McDonnell, Image Restoration and Reconstruction (Clarendon, Oxford, 1989).
2. R. P. Millane, “Phase retrieval in crystallography and optics,” J. Opt. Soc. Am. A 7, 394–411 (1990).
3. N. E. Hurt, Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction (Kluwer, Dordrecht, The Netherlands, 1989).
4. H. Stark, Image Recovery: Theory and Application (Academic, London, 1987).
5. M. H. Hayes, “The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform,” IEEE Trans. Acoust. Speech Signal Process. ASSP30, 140–154 (1982).
6. R. G. Lane, W. R. Fright, and R. H. T. Bates, “Direct phase retrieval,” IEEE Trans. Acoust. Speech Signal Process. ASSP-35, 520–526 (1987).
7. R. P. Millane, “Redundancy in multidimensional deconvolution and phase retrieval,” in Digital Image Synthesis and Inverse Optics, A. F. Gmitro, P. S. Idell, and I. J. LaHaie, eds., Proc. SPIE 1351, 227–236 (1990).
8. R. P. Millane, “Multidimensional phase problems,” J. Opt. Soc. Am. A 13, 725–734 (1996).
9. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982).
10. R. H. T. Bates and W. R. Fright, “Composite twodimensional phase-restoration procedure,” J. Opt. Soc. Am. 73, 358–365 (1983).
11. J. C. Dainty and J. R. Fienup, “Phase retrieval and image reconstruction for astronomy,” in Image Recovery: Theory and Application, H. Stark, ed. (Academic, New York, 1987), pp. 231–275.
12. M. Woolfson and F. Hai-Fu, Physical and Non-physical Methods of Solving Crystal Structures (Cambridge U. Press, New York, 1995).
13. R. P. Millane, “Phase problems for periodic images: effects of support and symmetry,” J. Opt. Soc. Am. A 10, 1037–1045 (1993).
14. J. Drenth, Principles of Protein X-ray Crystallography (Springer-Verlag, New York, 1994).
15. R. H. T. Bates, “Uniqueness of solutions to two-dimensional Fourier phase problems for localized and positive images,” Comput. Vision Graphics Image Process. 25, 205–217 (1984).
16. S. Onesti, A. D. Miller, and P. Brick, “The crystal structure of the lysyl-tRNA synthetase (LysU) from Escherichia coli,” Structure 3, 163–176 (1995).
17. J. Grimes, A. K. Basak, P. Roy, and D. Stuart, “The crystal structure of bluetongue virus VP7,” Nature 373, 167–170 (1995).
18. K. Braig, Z. Otwinowski, R. Hegde, D. Boisvert, A. Joachimiak, A. L. Horwich, and P. B. Sigler, “The crystal structure of the bacterial chaperonin GroEL at 2.8 A,” Nature 371, 578–586 (1994).
19. A. A. Antson, J. Otridge, A. M. Brzozowski, E. J. Dodson, G. G. Dodson, K. S. Wilson, T. M. Smith, M. Yang, T. Kurecki, and P. Gollnick, “The structure of trp RNA-binding attenuation protein,” Nature 374, 693–700 (1995).
20. L. Liljas, “Structure of spherical virusus,” Int. J. Biol. Macromol. 13, 273–280 (1991).
21. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
22. R. P. Millane and W. J. Stroud, “Phase retrieval for icosahedral particles,” in Signal Recovery and Synthesis, Vol. 11 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 20–22.
23. R. P. Millane and W. J. Stroud, “Phase retrieval for imaging symmetric particles,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems, R. L. Barbour, M. J. Carvlin, and M. A. Fiddy, eds., Proc. SPIE 2570, 276–281 (1995).
24. R. P. Millane and W. J. Stroud, “Image reconstruction in x-ray crystallography using symmetry constraints,” in Proceedings of the Ninth Workshop on Image and Multidimensional Signal Processing (IEEE, Piscataway, N.J., 1996), pp. 154–155.
25. R. P. Millane and W. J. Stroud, “Uniqueness and algorithms for macromolecular ab initio phasing,” Acta Crystallogr. Sect. A, Suppl. A52, C-66 (1996).
26. M. J. Perez-Ilzarbe, “Phase retrieval from the power spectrum of a periodic object,” J. Opt. Soc. Am. A 9, 2138–2148 (1992).
27. M. Kara and K. Kurki-Suonio, “Symmetrized multipole analysis of orientational distributions,” Acta Crystallogr. Sect. A 37, 201–210 (1981).
28. C. V. Stauffacher, R. Usha, M. Harrington, T. Schmidt, M. V. Hosur, and J. E. Johnson, “The structure of cowpea mosaic virus at 3.5 A resolution,” in Crystallography in Molecular Biology, D. Moras, D. Suck, B. Strandberg, J. Drenth, and T. Blundell, eds. (Plenum, New York, 1987), pp. 293–308.
29. A. T. Brunger, X-PLOR Version 3.1 (Yale U. Press, New Haven, Conn., 1992).