Optimization of Bayesian emission tomographic reconstruction for region-of-interest quantitation

Jinyi Qi

doi:10.1117/12.479850

1 July 2003 Optimization of Bayesian emission tomographic reconstruction for region-of-interest quantitation

Jinyi Qi

Author Affiliations +

Proceedings Volume 5016, Computational Imaging; (2003) https://doi.org/10.1117/12.479850
Event: Electronic Imaging 2003, 2003, Santa Clara, CA, United States

Abstract

Region of interest (ROI) quantitation is an important task in emission tomography (e.g., positron emission tomography and single photon emission computed tomography). It is essential for exploring clinical factors such as tumor activity, growth rate, and the efficacy of therapeutic interventions. Bayesian methods based on the maximum {\em a posteriori} principle (or called penalized maximum likelihood methods) have been developed for emission image reconstructions to deal with the low signal to noise ratio of the emission data. Similar to the filter cut-off frequency in the filtered backprojection method, the smoothing parameter of the image prior in Bayesian reconstruction controls the resolution and noise trade-off and hence affects ROI quantitation. In this paper we present an approach for choosing the optimum smoothing parameter in Bayesian reconstruction for ROI quantitation. Bayesian reconstructions are difficult to analyze because the resolution and noise properties are nonlinear and object-dependent. Building on the recent progress on deriving the approximate expressions for the local impulse response function and the covariance matrix, we derived simplified theoretical expressions for the bias, the variance, and the ensemble mean squared error (EMSE) of the ROI quantitation. One problem in evaluating ROI quantitation is that the truth is often required for calculating the bias. This is overcome by using ensemble distribution of the activity inside the ROI and computing the average EMSE. The resulting expressions allow fast evaluation of the image quality for different smoothing parameters. The optimum smoothing parameter of the image prior can then be selected to minimize the EMSE.

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Jinyi Qi "Optimization of Bayesian emission tomographic reconstruction for region-of-interest quantitation", Proc. SPIE 5016, Computational Imaging, (1 July 2003); https://doi.org/10.1117/12.479850

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KEYWORDS

Expectation maximization algorithms

Reconstruction algorithms

Tomography

Positron emission tomography

Monte Carlo methods

Smoothing

Fourier transforms

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