Toward an analytical solution for 3D SPECT reconstruction with nonuniform attenuation and distance-dependent resolution variation: a Monte Carlo simulation study

Hongbing Lu; Junhai Wen; Xiang Li; Tianfang Li; Guoping Han; Zhengrong Liang

doi:10.1117/12.467168

9 May 2002 Toward an analytical solution for 3D SPECT reconstruction with nonuniform attenuation and distance-dependent resolution variation: a Monte Carlo simulation study

Hongbing Lu, Junhai Wen, Xiang Li, Tianfang Li, Guoping Han, Zhengrong Liang

Author Affiliations +

Proceedings Volume 4684, Medical Imaging 2002: Image Processing; (2002) https://doi.org/10.1117/12.467168
Event: Medical Imaging 2002, 2002, San Diego, California, United States

Abstract

Based on Kunyansky's and our previous work, an efficient, analytical solution to the reconstruction problem of myocardial perfusion SPECT has been developed that allows simultaneous compensation for non-uniform attenuation, scatter, and system-dependent resolution variation, as well as suppression of signal-dependent Poisson noise. To avoid reconstructed images being corrupted by the presence of Poisson noise, a Karhunen-Loeve (K-L) domain adaptive Wiener filter is applied first to suppress the noise in the primary- and scatter-window measurements. The scatter contribution to the primary-energy-window measurements is then removed by our scatter estimation method, which is energy spectrum based, modified from the triple-energy-window acquisition protocol. The resolution variation is corrected by the depth-dependent deconvolution, which, being based on the central-ray approximation and the distance-frequency relation, deconvolves the scatter-free data with the accurate detector-response kernel in frequency domain. Finally, the deblurred projection data are analytically reconstructed with non-uniform attenuation by an algorithm based on Novikov's explicit inversion formula. The preliminary Monte Carlo simulation results using a realistic human thoracic phantom demonstrate that, for parallel-beam geometry, the proposed analytical reconstruction scheme is computationally comparable to filtered backprojection and quantitatively equivalent to iterative maximum a posteriori expectation-maximization reconstruction. Extension to other geometries is under progress.

Citation Download Citation

Hongbing Lu, Junhai Wen, Xiang Li, Tianfang Li, Guoping Han, and Zhengrong Liang "Toward an analytical solution for 3D SPECT reconstruction with nonuniform attenuation and distance-dependent resolution variation: a Monte Carlo simulation study", Proc. SPIE 4684, Medical Imaging 2002: Image Processing, (9 May 2002); https://doi.org/10.1117/12.467168

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