Direct reconstruction of parametric images using any spatiotemporal 4D image based model and maximum likelihood expectation maximisation

Matthews, Julian C.; Angelis, Georgios I.; Kotasidis, Fotis A.; Markiewicz, Paweł; Reader, Andrew J.

doi:10.1109/nssmic.2010.5874225

Cited by 45 publications

(68 citation statements)

References 11 publications

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“…(1) are very different, decoupling them may result in faster convergence. 58,59 One approach to decoupling the matrices without affecting the image quality is to use the nested EM algorithm. 58 Although the approach was proposed for direct reconstruction of linear parametric images from dynamic PET data, the method is applicable to PET image reconstruction with a factored system matrix.…”

Section: Iib Unified Vs Cascaded Modeling Of Resolution Degradationmentioning

confidence: 99%

“…58 Although the approach was proposed for direct reconstruction of linear parametric images from dynamic PET data, the method is applicable to PET image reconstruction with a factored system matrix. With this method, each image update using the GR model can be implemented by one iteration of EM reconstruction using G followed by multiple iterations of image deconvolution using R. 59 The advantages of this method would be that it gives the same solution as using the GR model directly and it does not require the matrices to be invertible. However, the individual elements of matrices G and R should be nonnegative for the EM algorithm to be applicable.…”

Section: Iib Unified Vs Cascaded Modeling Of Resolution Degradationmentioning

confidence: 99%

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Resolution modeling in PET imaging: Theory, practice, benefits, and pitfalls

2013

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In this paper, the authors review the field of resolution modeling in positron emission tomography (PET) image reconstruction, also referred to as point-spread-function modeling. The review includes theoretical analysis of the resolution modeling framework as well as an overview of various approaches in the literature. It also discusses potential advantages gained via this approach, as discussed with reference to various metrics and tasks, including lesion detection observer studies. Furthermore, attention is paid to issues arising from this approach including the pervasive problem of edge artifacts, as well as explanation and potential remedies for this phenomenon. Furthermore, the authors emphasize limitations encountered in the context of quantitative PET imaging, wherein increased intervoxel correlations due to resolution modeling can lead to significant loss of precision (reproducibility) for small regions of interest, which can be a considerable pitfall depending on the task of interest.

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Section: Iib Unified Vs Cascaded Modeling Of Resolution Degradationmentioning

confidence: 99%

Section: Iib Unified Vs Cascaded Modeling Of Resolution Degradationmentioning

confidence: 99%

Resolution modeling in PET imaging: Theory, practice, benefits, and pitfalls

2013

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“…Using the same optimisation transfer approach, Wang and Qi [137] also developed a minorisation-maximisation algorithm to include a simplified reference tissue model within a 4D framework. Finally, along similar lines to the work of Wang and Qi [129,130] and Matthews et al [132], Rahmim et al [138] also used a decoupling technique and a surrogate function with a single compartment model to directly estimate myocardial perfusion in 82 Rb imaging. Achieving a decoupling between the tomographic and the image-based kinetic modelling problems has facilitated the use of existing image reconstruction and kinetic modelling algorithms in a manner similar to the post-reconstruction modelling approach but monotonically converging to the direct parameter estimates of the 4D maximum likelihood problem.…”

Section: Direct Parameter Estimation Strategiesmentioning

confidence: 96%

“…In an extension of this work, they used linear Patlak and spectral analysis models as well as nonlinear models within a nested EM algorithm [130,131]. Matthews et al [132] performed similar work in which, after separation of the image and projection space problems, the maximum likelihood image-based problem is transformed into a least squares problem for which many existing methods can be used. The method has been implemented with one-tissue (Fig.…”

Section: Direct Parameter Estimation Strategiesmentioning

confidence: 99%

Advanced kinetic modelling strategies: towards adoption in clinical PET imaging

Kotasidis

Tsoumpas

Rahmim

2014

Clin Transl Imaging

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Positron emission tomography (PET) is a highly quantitative imaging modality that can probe a number of functional and biological processes, depending on the radiolabelled tracer used. Static imaging, followed by analysis using semi-quantitative indices, such as the standardised uptake value, is used in the majority of clinical assessments in which PET has a role. However, considerably more information can be extracted from dynamic image acquisition protocols, followed by application of appropriate image reconstruction and tracer kinetic modelling techniques, but the latter approaches have mainly been restricted to drug development and clinical research applications due to their complexity in terms of both protocol design and parameter estimation methodology. To make dynamic imaging more feasible and valuable in routine clinical imaging, novel research outcomes are needed. Research areas include noninvasive input function extraction, protocol design for wholebody imaging application, and kinetic parameter estimation methods using spatiotemporal (4D) image reconstruction algorithms. Furthermore, with the advent of sequential and simultaneous PET/magnetic resonance (MR) data acquisition, strategies for obtaining synergistic benefits in kinetic modelling are emerging and potentially enhancing the role and clinical importance of PET/MR imaging. In this article, we review and discuss various advances in kinetic modelling both from a protocol design and a methodological development perspective. Moreover, we discuss future trends and potential outcomes, which could facilitate more routine use of tracer kinetic modelling techniques in clinical practice.

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“…These methods reconstruct a PET image from a sinogram measured each time one by one. Several methods have been proposed that reconstruct 4D PET images from a temporal series of measured sinograms at the same time [13][14][15]. For example, Reference [15] introduced a set of basis functions for representing the temporal change of each voxel value.…”

Section: Introductionmentioning

confidence: 99%

Parametric PET Image Reconstruction via Regional Spatial Bases and Pharmacokinetic Time Activity Model

Kawamura

Yokota

Hontani

et al. 2017

Entropy

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Abstract:It is known that the process of reconstruction of a Positron Emission Tomography (PET) image from sinogram data is very sensitive to measurement noises; it is still an important research topic to reconstruct PET images with high signal-to-noise ratios. In this paper, we propose a new reconstruction method for a temporal series of PET images from a temporal series of sinogram data. In the proposed method, PET images are reconstructed by minimizing the Kullback-Leibler divergence between the observed sinogram data and sinogram data derived from a parametric model of PET images. The contributions of the proposition include the following: (1) regions of targets in images are explicitly expressed using a set of spatial bases in order to ignore the noises in the background; (2) a parametric time activity model of PET images is explicitly introduced as a constraint; and (3) an algorithm for solving the optimization problem is clearly described. To demonstrate the advantages of the proposed method, quantitative evaluations are performed using both synthetic and clinical data of human brains.

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Direct reconstruction of parametric images using any spatiotemporal 4D image based model and maximum likelihood expectation maximisation

Cited by 45 publications

References 11 publications

Resolution modeling in PET imaging: Theory, practice, benefits, and pitfalls

Resolution modeling in PET imaging: Theory, practice, benefits, and pitfalls

Advanced kinetic modelling strategies: towards adoption in clinical PET imaging

Parametric PET Image Reconstruction via Regional Spatial Bases and Pharmacokinetic Time Activity Model

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