PET IMAGE RECONSTRUCTION USING ANATOMICAL INFORMATION THROUGH MUTUAL INFORMATION BASED PRIORS: A SCALE SPACE APPROACH

We propose a non-parametric method for incorporating information from co-registered anatomical images into PET image reconstruction through priors based on mutual information. Mutual information between feature vectors extracted from the anatomical and functional images is used as a priori information in a Bayesian framework for the reconstruction of the PET image. The computation of mutual information requires an estimate of the joint density of the two images, which is obtained by using the Parzen window method. Preconditioned conjugate gradient with a bent Armijo line-search is used to maximize the resulting posterior density. The performance of this method is compared with that using a Gaussian quadratic penalty, which does not use anatomical information. Simulation results are presented for PET and MR images generated from a slice of the Hoffman brain phantom. These indicate that mutual information based penalties can potentially provide superior quantitation compared to Gaussian quadratic penalties

[1]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[2]  Richard M. Leahy,et al.  PET IMAGE RECONSTRUCTION USING ANATOMICAL INFORMATION THROUGH MUTUAL INFORMATION BASED PRIORS: A SCALE SPACE APPROACH , 2007, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[3]  Paul A. Viola,et al.  Multi-modal volume registration by maximization of mutual information , 1996, Medical Image Anal..

[4]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[5]  Mark Holden,et al.  Multi-dimensional mutual information image similarity metrics based on derivatives of linear scale-space , .

[6]  David G. Stork,et al.  Pattern Classification , 1973 .

[7]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[8]  Anand Rangarajan,et al.  Bayesian reconstruction of functional images using anatomical information as priors , 1993, IEEE Trans. Medical Imaging.

[9]  Richard M. Leahy,et al.  Incorporation of Anatomical MR Data for Improved Dunctional Imaging with PET , 1991, IPMI.

[10]  Tony Lindeberg,et al.  Scale-Space Theory in Computer Vision , 1993, Lecture Notes in Computer Science.

[11]  G. Marchal,et al.  Multi-modal volume registration by maximization of mutual information , 1997 .

[12]  Ronald J. Jaszczak,et al.  Bayesian reconstruction and use of anatomical a priori information for emission tomography , 1996, IEEE Trans. Medical Imaging.

[13]  Anand Rangarajan,et al.  A Bayesian Joint Mixture Framework for the Integration of Anatomical Information in Functional Image Reconstruction , 2000, Journal of Mathematical Imaging and Vision.