Optimization of Bayesian Emission Tomographic Reconstruction for Region of Interest Quantitation

Jinyi Qi

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsC.A. Bouman, R.L. Stevenson
Number of pages10
StatePublished - 2003
Externally publishedYes
EventComputational Imaging - Santa Clara, CA, United States
Duration: Jan 23 2003Jan 24 2003


OtherComputational Imaging
Country/TerritoryUnited States
CitySanta Clara, CA


  • Emission tomography
  • MAP reconstruction
  • Parameter estimation
  • Quantitation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics


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