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

López-Montes, Alejandro; Galve, Pablo; Udı́as, J. M.; Herraiz, Joaquín L.

doi:10.1117/12.2534841

Cited by 3 publications

(5 citation statements)

References 12 publications

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“…Other analytical methods, such as the backprojection-filtering (BPF) [163], or 3D adaptations of the FBP [164] have been also developed. Recently, Lopez-Montes et al have introduced a reconstruction method based on a more accurate model of the system response matrix (SRM) using a pseudoinverse transformation that provides higher resolution than the traditional FBP [165,166].…”

Section: Methodsmentioning

confidence: 99%

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Recent advances in combined Positron Emission Tomography and Magnetic Resonance Imaging

Galve,

Rodriguez-Vila,

Herraiz

et al. 2024

J. Inst.

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Hybrid imaging modalities combine two or more medical imaging techniques offering exciting new possibilities to image the structure, function and biochemistry of the human body in far greater detail than has previously been possible to improve patient diagnosis. In this context, simultaneous Positron Emission Tomography and Magnetic Resonance (PET/MR) imaging offers great complementary information, but it also poses challenges from the point of view of hardware and software compatibility. The PET signal may interfere with the MR magnetic field and vice-versa, posing several challenges and constrains in the PET instrumentation for PET/MR systems. Additionally, anatomical maps are needed to properly apply attenuation and scatter corrections to the resulting reconstructed PET images, as well motion estimates to minimize the effects of movement throughout the acquisition. In this review, we summarize the instrumentation implemented in modern PET scanners to overcome these limitations, describing the historical development of hybrid PET/MR scanners. We pay special attention to the methods used in PET to achieve attenuation, scatter and motion correction when it is combined with MR, and how both imaging modalities may be combined in PET image reconstruction algorithms.

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Section: Methodsmentioning

confidence: 99%

“…Most of the analytical methods are derived from 2D formulation, whereas PET data are gathered in 3D. Although some authors adapted the problem to 3D [164], it is very common to use 2D rebinning techniques followed by 2D reconstruction [165,166,[169][170][171][172]. Analytical methods produce noisier images than iterative methods.…”

Section: Methodsmentioning

confidence: 99%

Recent advances in combined Positron Emission Tomography and Magnetic Resonance Imaging

Galve,

Rodriguez-Vila,

Herraiz

et al. 2024

J. Inst.

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“…The proposed DPS is applied to volumetric x-ray reconstruction in severely undersampled data from the portable sCT system for ICH detection. We build on our earlier preliminary studies for 2D axial sCT reconstruction [32] to develop a comprehensive framework for 3D imaging, including strategies to enforce axial inter-slice continuity in volumetric images and to reduce computational burden via stochastic contraction. The approach is evaluated in simulation studies and in experiments on an sCT benchtop.…”

mentioning

confidence: 99%

Stationary x-ray tomography for hemorrhagic stroke imaging: sampling and resolution properties

Montes

McSkimming

Zbijewski

et al. 2022

7th International Conference on Image Formation in X-Ray Computed Tomography

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Hemorrhagic stroke accounts for up to 20% of all stroke cases, and requires a treatment pathway drastically different to ischemic stroke. Prompt triage is therefore crucial and often only attainable with neuroimaging for intracranial hemorrhage (ICH) evaluation, for which MDCT is the frontline modality. Availability of ICH dedicated imaging in the pre-hospital setting, with portable CT systems, would facilitate early ICH diagnosis. However, current CT or cone-beam CT (CBCT) approaches often use conventional x-ray sources mounted on a rotating gantry limiting their minimum weight and footprint. Recent advances on cold-cathode, compact x-ray sources, based on carbon nanotube (CNT) technology, enable the development of ultra-compact designs based on source-array arrangements on stationary configurations. However, such geometrical arrangements show limited angular sampling, and sparse, non-stationary, volume sampling.In this work we present first investigation of geometric configuration and effects of 3D sampling pertinent to the task of ICH detection on an ultra-portable stationary CBCT for ICH imaging. The baseline configuration included 31 CNT sources on a curved array illuminating a curved panel detector (871 mm length), on a compact geometrical configuration (SDD = 690 mm). Metrics of sampling completeness, sampling density, and MTF shape and band-width integral were explored for configurations varying in source angular span (30°-170°), source array and detector curvature radius (250 mm to flat), use of 2D matrix source arrangements, and multi-acquisition protocols. The results show that sufficient sampling and resolution can be achieved with a combination of moderate curvature (~450 mm radius) of the source array and detectors, with better sampling properties for approximately matched curvature radii (up to 30% BWI improvement). Improved image quality was demonstrated with configurations featuring matrix source arrangements in combination with multi-acquisition protocols (around a 6% of improvement in sampling completeness).

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“…This method is very fast, however, it is only accurate for activity close to the axis of the scanner. A more accurate alternative to SSRB is Fourier rebinning (FORE) [24], but unfortunately, it is much slower.Here, we propose the pseudoinverse (PINV) of the SRM [25] to achieve real-time reconstructions with uniform resolution [26]. The goal was to achieve some of the features of iterative methods with the computational cost of analytical reconstructions, thus providing fast reconstructions while incorporating the physics involved [18].…”

mentioning

confidence: 99%

“…Here, we propose the pseudoinverse (PINV) of the SRM [25] to achieve real-time reconstructions with uniform resolution [26]. The goal was to achieve some of the features of iterative methods with the computational cost of analytical reconstructions, thus providing fast reconstructions while incorporating the physics involved [18].…”

mentioning

confidence: 99%

Real-Time 3D PET Image with Pseudoinverse Reconstruction

et al. 2020

Self Cite

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Real-time positron emission tomography (PET) may provide information from first-shot images, enable PET-guided biopsies, and allow awake animal studies. Fully-3D iterative reconstructions yield the best images in PET, but they are too slow for real-time imaging. Analytical methods such as Fourier back projection (FBP) are very fast, but yield images of poor quality with artifacts due to noise or data incompleteness. In this work, an image reconstruction based on the pseudoinverse of the system response matrix (SRM) is presented. w. To implement the pseudoinverse method, the reconstruction problem is separated into two stages. First, the axial part of the SRM is pseudo-inverted (PINV) to rebin the 3D data into 2D datasets. Then, the resulting 2D slices can be reconstructed with analytical methods or by applying the pseudoinverse algorithm again. The proposed two-step PINV reconstruction yielded good-quality images at a rate of several frames per second, compatible with real time applications. Furthermore, extremely fast direct PINV reconstruction of projections of the 3D image collapsed along specific directions can be implemented.

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

Cited by 3 publications

References 12 publications

Recent advances in combined Positron Emission Tomography and Magnetic Resonance Imaging

Recent advances in combined Positron Emission Tomography and Magnetic Resonance Imaging

Stationary x-ray tomography for hemorrhagic stroke imaging: sampling and resolution properties

Real-Time 3D PET Image with Pseudoinverse Reconstruction

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