Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지

An Edge-detecting Bayesian Image Reconstruction for Positron Emission Tomography

  • Published : 1997.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

Images reconstructed with EM algorithm have been observed to have checkerboard effects and have large distortions near edges as iterations proceed. We suggest a aimple algorithm of applying line process to the EM and Bayesian EM to reduce the distortions near edges. We show by simulation that this algorithm improves the clarity of the reconstructed image and has good properties based on root mean square error.

Keywords

References

  1. Journal of Royal Statistical Society, Ser. B v.48 no.3 On the Statistical Analysis of Dirty Pictures Besage, J.E.
  2. IEEE Transactions on Image Processing v.2 no.3 A Generalized Gaussian Image Model for Edge_Preserving MAP Estimation Bouman, C.;Sauer, K.
  3. IEEE Transactions on Pattern Analysis and Machine Intelligence v.PAMI-6 no.6 Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images Geman, S.;Geman, D.
  4. IEEE Transactions on Medical Imaging v.9 no.1 Bayesian Reconstructions From Emission Tomography Data Using a Modified EM Algorithm Green, P. J.
  5. Image Reconstruction from Projection Herman, G. T.
  6. IEEE Transactions on Medical Imaging v.MI-6 no.3 A Maximum A Posteriori Probability Expectation Maximization Algorithm for Image Reconstruction in Emission Tomography Levitan, E.;Herman, G. T.
  7. IEEE Transactions on Nuclear Science v.NS-32 no.5 The Use of Sieves to Stabilize Images Produced with the EM Algorithm for Emission Tomography Synder, D.L.;Miller, M. I.
  8. Journal of the American Statistical Association v.80 A Statistical Model for Positron Emission Tomography Vardi, Y.;Shepp, L. A.;Kaufman, L.
  9. Journal of the American Statistical Association v.80 A Statistical Model for Positron Emission Tomography Vardi,Y.;Shepp,L.A.;Kaufman,L.