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Published on: June 6, 2018
Precision and accuracy of regional radioactivity quantitation using the maximum likelihood EM reconstruction
R E Carson1, Y Yan, B Chodkowski
1Dept. of Positron Emission Tomography, Nat. Inst. of Health, Bethesda, MD.
IEEE Transactions on Medical Imaging
|January 1, 1994
Summary
Maximum Likelihood (ML) reconstruction in positron emission tomography (PET) offers reduced bias for regional radioactivity concentration compared to Filtered Backprojection (FBP). ML is computationally intensive but ideal for applications prioritizing minimal bias.
Area of Science:
- Medical Imaging
- Nuclear Medicine
- Computational Science
Background:
- Maximum Likelihood (ML) reconstruction using the Expectation-Maximization (EM) algorithm in emission tomography is well-studied for imaging characteristics.
- Fewer studies have focused on the precision and accuracy of ML estimates for regional radioactivity concentration.
Purpose of the Study:
- To evaluate the bias and variability of ML estimates for regional radioactivity concentration.
- To compare ML reconstruction with Filtered Backprojection (FBP) using a realistic brain phantom.
- To assess the impact of pixel size, smoothing, and region size reduction on ML and FBP reconstructions.
Main Methods:
- Developed a realistic brain slice simulation from segmented MRI data (gray matter, white matter, CSF).
- Generated PET sinogram data incorporating detector resolution, efficiencies, attenuation, scatter, and randoms.
- Performed ML and FBP reconstructions on noisy data at various count levels and analyzed ROI values.
Main Results:
- ML reconstructions (3,000 iterations) for 1-cm² gray matter ROIs showed a -6%+/-2% bias, reducible to 0%+/-3% by excluding the outer 1-mm rim.
- FBP reconstructions on full-size ROIs exhibited a -15%+/-4% bias but with 50% less noise than ML.
- Shrinking FBP regions partially compensated for bias, increasing noise to ML levels; ML image smoothing yielded bias comparable to FBP with slightly less noise.
Conclusions:
- ML reconstruction provides more accurate regional radioactivity concentration estimates in PET, particularly when minimal bias is critical.
- Despite higher computational demands, ML is advantageous for applications requiring high precision in quantitative analysis.
- Image processing techniques like ROI rim exclusion and region size adjustment can further optimize quantitative accuracy for both ML and FBP methods.

