Abstract
We propose a Bayesian method whereby MAP estimates of functional (PET and SPECT) images may be reconstructed with the aid of prior information derived from registered anatomical (CT and MRI) images of the same slice. Our prior information consists of significant anatomical boundaries that are likely to correspond to discontinuities in an otherwise spatially smooth radionuclide distribution. Our algorithm, like others proposed recently, seeks smooth solutions with occasional discontinuities; the contribution here is the inclusion of a coupling term that influences the creation of discontinuities in the vicinity of the significant anatomical boundaries. Simulations on anatomically derived mathematical phantoms are presented. The reconstructions are greatly improved when the prior information is used.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Bailey DL, Hutton BF and Walker PJ (1987). Improved SPECT using simultaneous emission and transmission tomography. The Journal of Nuclear Medicine 28(5):845–851.
Blake A and Zisserman A (1987). Visual Reconstruction. MIT Press, Cambridge, MA.
Chen C, Pelizzari CA, Chen GTY, Cooper MD and Levin DN (1989). Image analysis of PET data with the aid of CT and MR images. In CN de Graaf and MA Viergever, editors, Information Processing in Medical Imaging pp. 601, Plenum Press.
Chen CT, Johnson VE, Wong WH, Hu X, and Metz CE (April 1990). Bayesian image reconstruction in positron emission tomography. IEEE Transactions on Nuclear Science 37(2):636–641.
Chen CT, Johnson VE, Hu X, Wong WH, and Metz CE (June 1990). PET image reconstruction with the use of correlated structural images (abstract). In JNM, Proceedings of the 37th Annual Meeting pp. 748.
Gamble EB, Geiger D, Poggio T, and Weinshall D (1989). Integration of vision modules and labeling of surface discontinuities. IEEE Transactions on Systems, Man and Cybernetics. 19(6):1576–1581
Geiger D and Girosi F (1989). Parallel and deterministic algorithms for MRFs: surface reconstruction and integration. Technical Report A. I. Memo, No. 1114, Artificial Intelligence Lab, M.I.T.
Geman S and Geman D (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE PAMI 6:721–741.
Geman S and McClure DE (1985). Bayesian image analysis: an application to single photon emisson tomography. Proceedings of the American Statistical Association.
Geman S and McClure DE (1987). Statistical methods for tomographic image reconstruction. In Proceedings of the 46th Session of the ISI, Bulletin of ISI.
Geman D and Reynolds G (1990). Constrained restoration and the recovery of discontinuities. Technical Report, University of Massachusetts at Amherst.
Gerlot P and Bizais Y (1987). Image registration: a review and a strategy for medical applications. In CN de Graaf and MA Viergever, editors, Information Processing in Medical Imaging pp. 81–89, Plenum Press.
Hebert T and Leahy R (1989). A generalized EM algorithm for 3-D Bayesian reconstruction for Poisson data using Gibbs priors. IEEE Transactions on Medical Imaging 8(2):194–202.
Johnson VE, Wong WH, Hu X, and Chen C (1989). Bayesian reconstruction of PET images using Gibbs priors. In DA Ortendahl and Jorge Llacer, editors, Information Processing in Medical Imaging pp. 15–28, Wiley-Liss.
Kessler ML, Pitluck S, and Chen GTY (1986). Frontiers of radiation oncology, proceedings of WCCF workshop on advances in treatment planning.
Leahy R, Hebert T, and Lee R (1989). Applications of Markov random fields in medical imaging. In DA Ortendahl and Jorge Llacer, editors, Information Processing in Medical Imaging pp. 1–14, Wiley-Liss.
LeClerc YG (1989). Constructing simple stable descriptions for image partitioning. International Journal of Computer Vision vol.3:73–102.
Liang Z, Jaszczak R, Floyd C, and Greer K (1989). A spatial interaction model for statistical image processing. In DA Ortendahl and Jorge Llacer, editors, Information Processing in Medical Imaging pp. 29–44, Wiley-Liss.
Metropolis N, Rosenbluth A, Rosenbluth M, Teller A and Teller E (1953). Equation of state calculations by fast computing machines. Journal of Physical Chemistry 21:1087–1091.
Poggio T, Gamble EB, and Little JJ (1988). Parallel integration of vision modules. Science 242:436–439.
Rangarajan A and Chellappa R (1990). Adiabatic approximation as a tool in image estimation. In Parallel Architectures for Image Processing SPIE 1246, Santa Clara, CA.
Simchony T, Chellappa R, and Lichtenstein Z (1990). Relaxation algorithms for map estimation of grey-level images with multiplicative noise. IEEE Transactions on Information Theory 36(3):608–613.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gindi, G., Lee, M., Rangarajan, A., Zubal, I.G. (1991). Bayesian reconstruction of functional images using registered anatomical images as priors. In: Colchester, A.C.F., Hawkes, D.J. (eds) Information Processing in Medical Imaging. IPMI 1991. Lecture Notes in Computer Science, vol 511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033747
Download citation
DOI: https://doi.org/10.1007/BFb0033747
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54246-9
Online ISBN: 978-3-540-47521-7
eBook Packages: Springer Book Archive