An improved combination of ordered subsets and momentum for fast model-based iterative CT reconstruction

Haase, Viktor; Stierstorfer, Karl; Hähn, Katharina; Schöndube, Harald; Maier, Andreas; Noo, Frédéric

doi:10.1117/12.2549733

Cited by 1 publication

(10 citation statements)

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“…29,35,36,40 It is important to note that previous studies have demonstrated that the combination of the OS approach with momentum schemes can lead to convergence instability, particularly as the number of subsets increases. 47,48,58,59 This instability arises due to error accumulation in the momentum term, as the "subset balance" approximation does not perfectly hold. 47 The "subset balance" approximation implies that the cost function, JðFÞ, defined in Eq.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…47 Another approach involves a monotonic adaptation of the FISTA acceleration, which utilizes objective function values to adaptively determine the subsequent update. 48 Additionally, an adaptive restarting method that resets the momentum terms based on a stability metric was introduced, further promoting convergence reliability. 59 Although combining OS and momentum schemes does not provide theoretical guarantees of convergence, in the numerical and experimental studies, the proposed approach demonstrated stable convergence behavior, given the proper selection of the step size and number of subsets.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…42,43 The convergence speed of the PGD method can be improved with momentum schemes. 44,45 To further improve the convergence speed, especially in the early iterations, an ordered subsets (OS) approach 46 can be incorporated with momentum schemes, 47,48 despite the lack of theoretical guarantees of convergence. In addition to acceleration, applying the OS approach to find an approximate solution to Eq.…”

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

“…For the optimization problem given by Eq. ( 11), the OS-based cost function is expressed as 47,48 E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 4 ; 1 1 7 ; 6 6 4…”

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

“…where K j represents the set of frame indices in the j'th ordered subset. The OS approach relies on the "subset balance" approximation, 47,48 implying that J K j ðFÞ ≈ JðFÞ. The update procedure in PGD with OS consists of two main steps.…”

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

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Spatiotemporal image reconstruction to enable high-frame-rate dynamic photoacoustic tomography with rotating-gantry volumetric imagers

Cam,

Wang,

Thompson

et al. 2024

J. Biomed. Opt.

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Dynamic photoacoustic computed tomography (PACT) is a valuable imaging technique for monitoring physiological processes. However, current dynamic PACT imaging techniques are often limited to two-dimensional spatial imaging. Although volumetric PACT imagers are commercially available, these systems typically employ a rotating measurement gantry in which the tomographic data are sequentially acquired as opposed to being acquired simultaneously at all views. Because the dynamic object varies during the data-acquisition process, the sequential data-acquisition process poses substantial challenges to image reconstruction associated with data incompleteness. The proposed image reconstruction method is highly significant in that it will address these challenges and enable volumetric dynamic PACT imaging with existing preclinical imagers. Aim:The aim of this study is to develop a spatiotemporal image reconstruction (STIR) method for dynamic PACT that can be applied to commercially available volumetric PACT imagers that employ a sequential scanning strategy. The proposed reconstruction method aims to overcome the challenges caused by the limited number of tomographic measurements acquired per frame.Approach: A low-rank matrix estimation-based STIR (LRME-STIR) method is proposed to enable dynamic volumetric PACT. The LRME-STIR method leverages the spatiotemporal redundancies in the dynamic object to accurately reconstruct a four-dimensional (4D) spatiotemporal image. Results:The conducted numerical studies substantiate the LRME-STIR method's efficacy in reconstructing 4D dynamic images from tomographic measurements acquired with a rotating measurement gantry. The experimental study demonstrates the method's ability to faithfully recover the flow of a contrast agent with a frame rate of 10 frames per second, even when only a single tomographic measurement per frame is available. Conclusions:The proposed LRME-STIR method offers a promising solution to the challenges faced by enabling 4D dynamic imaging using commercially available volumetric PACT imagers. By enabling accurate STIRs, this method has the potential to significantly advance preclinical research and facilitate the monitoring of critical physiological biomarkers.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

“…For the optimization problem given by Eq. ( 11), the OS-based cost function is expressed as 47,48 E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 4 ; 1 1 7 ; 6 6 4…”

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

Section: Low-rank Matrix Estimation-based Spatiotemporal Image Recons...mentioning

confidence: 99%

See 3 more Smart Citations

Spatiotemporal image reconstruction to enable high-frame-rate dynamic photoacoustic tomography with rotating-gantry volumetric imagers

Cam,

Wang,

Thompson

et al. 2024

J. Biomed. Opt.

View full text Add to dashboard Cite

show abstract

An improved combination of ordered subsets and momentum for fast model-based iterative CT reconstruction

Cited by 1 publication

References 0 publications

Spatiotemporal image reconstruction to enable high-frame-rate dynamic photoacoustic tomography with rotating-gantry volumetric imagers

Spatiotemporal image reconstruction to enable high-frame-rate dynamic photoacoustic tomography with rotating-gantry volumetric imagers

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