Application of the pseudoinverse for real-time 3D PET image reconstruction

Alejandro López-Montes; Pablo Galve; Jose Manuel Udias; Joaquin L. Herraiz

doi:10.1117/12.2534841

28 May 2019 Application of the pseudoinverse for real-time 3D PET image reconstruction

Alejandro López-Montes, Pablo Galve, Jose Manuel Udias, Joaquin L. Herraiz

Proceedings Volume 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine; 110720J (2019) https://doi.org/10.1117/12.2534841
Event: Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 2019, Philadelphia, United States

Abstract

Real-time Positron Emission Tomography (PET) has the potential to become a new imaging tool providing useful information, such as first-shot images, medical intervention guidance, information about patient position and motion, and to perform PET image guided biopsy. Fully-3D iterative reconstruction methods in PET provide highest quality images, but they are still not suitable for real-time imaging due to their large computational time requirements. On the other hand, analytical methods are much faster, but they exhibit low-quality images and artifacts when using noisy or incomplete data. We propose an alternative reconstruction method based on the pseudoinverse of the System Response Matrices (SRM), which can be very fast while yielding good quality images. The reconstruction problem is separated into two independent ones. First, the axial part of the SRM is pseudoinverted and used to rebin in the axial direction 3D data into 2D datasets with resolution recovery. The resulting 2D datasets can be reconstructed with standard analytical methods such as Filtered Back-Projection (FBP), or with another in-plane pseudoinverse algorithm. Pseudoinverse rebinning is as fast as standard Single Slice ReBinning (SSRB), but with image quality comparable to FOurierREbinning (FORE). With regards to the transaxial image reconstruction, pseudoinverse rebinning is as fast as FBP, but obtains improved resolution recovery and uniformity. Overall, the two-step psudoinverse reconstruction yields much more acceptable images than SSRB+FBP, at a rate of several frames per second, compatible with real time applications.

Citation Download Citation

Alejandro López-Montes, Pablo Galve, Jose Manuel Udias, and Joaquin L. Herraiz "Application of the pseudoinverse for real-time 3D PET image reconstruction", Proc. SPIE 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 110720J (28 May 2019); https://doi.org/10.1117/12.2534841

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KEYWORDS

Positron emission tomography

Monte Carlo methods

Image restoration

Scanners

Matrices

3D image processing

Image quality

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