Model bias in bayesian image reconstruction from x-ray fiber diffraction data

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

Volumn 16, Issue 2, 1999, Pages 236-245

  Baskaran, Shyamsunder ^a   Millane, R P ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006348562     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000236     Document Type: Article

References (21)

1. R. P. Millane, “Phase retrieval in crystallography and optics,” J. Opt. Soc. Am. A 7, 394–411 (1990).
2. J. Drenth, Principles of Protein X-Ray Crystallography (Springer-Verlag, Berlin, 1994).
3. A. D. French and K. H. Gardner, eds., Fiber Diffraction Methods (American Chemical Society, Washington, D.C., 1980).
4. R. P. Millane, “Structure determination by x-ray fiber diffraction,” in Crystallographic Computing 4: Techniques and New Technologies, N. W. Isaacs and M. R. Taylor, eds. (Oxford U. Press, Oxford, 1988), pp. 169–186.
5. R. P. Millane, “Image reconstruction from cylindrically averaged diffraction intensities,” in Digital Image Recovery and Synthesis II, P. S. Idell, ed., Proc. SPIE 2029, 137–143 (1993).
6. S. Baskaran and R. P. Millane, “Bayesian image reconstruction from partial image and spectral intensity data,” IEEE Trans. Image Process (to be published).
7. S. Baskaran and R. P. Millane, “Bayesian image reconstruction from partial image and spectral amplitude data,” in Image Reconstruction and Restoration II, T. J. Schulz, ed., Proc. SPIE 3170, 227–237 (1997).
8. R. P. Millane and S. Baskaran, “Optimal difference Fourier synthesis in fiber diffraction,” Fiber Diffract. Rev. 6, 14–18 (1997).
9. A. J. C. Wilson, “The probability distribution of x-ray intensities,” Acta Crystallogr. 2, 318–321 (1949).
10. S. Chandrasekhar, “Stochastic problems in physics and astronomy,” Rev. Mod. Phys. 15, 1–89 (1943).
11. G. Stubbs, “The probability distributions of x-ray intensities in fiber diffraction: largest likely values of fiber diffraction R factors,” Acta Crystallogr. Sect. A 45, 254–258 (1989).
12. R. P. Millane, “Intensity distributions in fiber diffraction,” Acta Crystallogr. Sect. A 46, 552–559 (1990).
13. F. Natterer, The Mathematics of Computerized Tomography (Wiley, New York, 1986).
14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980), pp. 369, 665.
15. M. M. Woolfson, “An improvement on the ‘heavy-atom’ method of solving crystal structures,” Acta Crystallogr. 9, 804–810 (1956).
16. G. A. Sim, “A note on the heavy-atom method,” Acta Crystallogr. 13, 511–512 (1960).
17. K. Namba and G. Stubbs, “Difference Fourier synthesis in fiber diffraction,” Acta Crystallogr. Sect. A 43, 533–539 (1987).
18. C. R. Rao, Linear Statistical Inference and Its Applications (Wiley, New York, 1973).
19. A. K. Jain, Fundamentals of Digital Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1989).
20. R. Henderson and J. K. Moffat, “The difference Fourier technique in protein crystallography: errors and their treatment,” Acta Crystallogr. Sect. B 27, 1414–1420 (1971).
21. R. J. Read, “Improved Fourier coefficients for maps using phases from partial structures with errors,” Acta Crystallogr. Sect. A 42, 140–149 (1986).