Automatically assigned DDC number: 61607540285

Manually assigned DDC number: 00637

Number of references: 8

Title: Fast computation of the covariance of MAP reconstructions of PET images

Author:

Author:

Subject: Jinyi Qi,Richard M. Leahy Fast computation of the covariance of MAP reconstructions of PET images

Description: We develop an approximate theoretical formula for fast computation of the covariance of PET images reconstructed using maximum a posteriori (MAP) estimation. The results assume a Poisson likelihood for the data and a quadratic prior on the image. The covariance for each voxel is computed using 2D FFTs and is a function of a single data dependent parameter. This parameter is computed using a modified backprojection. For a small region of interest (ROI), the correlation can be assumed to be locally stationary so that computation of the variance of an ROI can be performed very rapidly. Previous approximate formulae for the variance of MAP estimators have performed poorly in areas of low activity since they do not account for the non-negativity constraints that are routinely used in MAP algorithms. Here a "truncated Gaussian" model is used to compensate for the effect of the non-negativity constraints. Accuracy of the theoretical expressions is evaluated using both Monte Carlo simulations ...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1999-02-12

Format: ps

Identifier: http://citeseer.ist.psu.edu/160517.html

Source: http://biron.usc.edu/~jqi/papers.html/spie99.ps

Language: en

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Rights: unrestricted

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