Simultaneous reconstruction of activity and attenuation in PET: crosstalk measurements

Sergio S. Furuie; Alvaro R. de Pierro; Nelson A. Mascarenhas; Jose C. Meneghetti

doi:10.1117/12.708278

19 March 2007 Simultaneous reconstruction of activity and attenuation in PET: crosstalk measurements

Sergio S. Furuie, Alvaro R. de Pierro, Nelson A. Mascarenhas, Jose C. Meneghetti

Proceedings Volume 6510, Medical Imaging 2007: Physics of Medical Imaging; 65105B (2007) https://doi.org/10.1117/12.708278
Event: Medical Imaging, 2007, San Diego, CA, United States

Abstract

Quantitative tomographic reconstruction based on positron emission (PET) requires attenuation correction on projections. The objective of this work is to analyze an algorithm for attenuation estimation which is used simultaneously with activity reconstruction (PET-AA) based only on emission data. The focus is on measurement of crosstalk effects on activity due to non-uniform attenuation. The derived algorithms are based on maximization of likelihood, but using minorization function approach. The activity estimator turned out to be the same as EM-ML for attenuated projections. On the other hand, the proposed algorithm for attenuation is simple and, basically, corrects the previous estimation of attenuation in a voxel by the ratio between the backprojection of estimated projections and backprojection of measured projections. Preliminary assessments were carried out via tridimensional phantoms with non-uniform attenuation emulating 3D PET with and without noise. Individually, the algorithms for attenuation and activity presented very good results with negligible crosstalk and global reconstruction error less than 2% for noiseless projections. For the case of simultaneous estimation, even without noise, the crosstalks in estimating activity and attenuation are significant (-0.223 ± 0.051) yielding global errors for activity between 10% and 20%. With noise, the error increased to 36% and the crosstalk to (-0.688 ± 0.139). The proposed algorithm for attenuation estimation presents encouraging behavior and the results confirm the necessity of methodologies to deal with crosstalk effects in PET-AA.

Citation Download Citation

Sergio S. Furuie, Alvaro R. de Pierro, Nelson A. Mascarenhas, and Jose C. Meneghetti "Simultaneous reconstruction of activity and attenuation in PET: crosstalk measurements", Proc. SPIE 6510, Medical Imaging 2007: Physics of Medical Imaging, 65105B (19 March 2007); https://doi.org/10.1117/12.708278

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KEYWORDS

Signal attenuation

Error analysis

Reconstruction algorithms

Optical spheres

Positron emission tomography

Algorithm development

Data corrections

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