• DocumentCode
    1123943
  • Title

    Bayesian reconstruction of signals invariant under a space-group symmetry from Fourier transform magnitudes

  • Author

    Doerschuk, Peter C.

  • Author_Institution
    Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
  • Volume
    3
  • Issue
    4
  • fYear
    1994
  • fDate
    7/1/1994 12:00:00 AM
  • Firstpage
    438
  • Lastpage
    449
  • Abstract
    A Bayesian signal reconstruction problem, motivated by X-ray crystallography, which includes magnitude of Fourier transform measurements and a Markov random field a priori model was approximately solved by Doerschuk (see J. Opt. Soc. Amer. A, vol.8, no.8, p.1222-1232 and p.1207-1221, 1991). These ideas are extended to signals that obey a space-group symmetry, which is a crucial extension for X-ray crystallography application. Performance statistics based on simulated data are presented
  • Keywords
    Bayes methods; Fourier transforms; Markov processes; X-ray crystallography technique; signal processing; Bayesian signal reconstruction; Fourier transform magnitudes; Fourier transform measurements; Markov random field; X-ray crystallography; performance statistics; simulated data; space-group symmetry; Atomic measurements; Bayesian methods; Crystallography; Electrons; Fourier transforms; Frequency; Image reconstruction; Physics; Signal reconstruction; X-ray imaging;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.298397
  • Filename
    298397