Three novel accurate pixel-driven projection methods for 2D CT and 3D EPR imaging

Zhang, Qiao; Redler, Gage; Gui, Zhiguo; Qian, Yuhua; Epel, Boris; Halpern, Howard J.

doi:10.3233/xst-17284

Cited by 13 publications

(8 citation statements)

References 24 publications

(28 reference statements)

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“…ere are three common projection methods: pixel-driven, raydriven [36], and distance-driven [37] projection methods. In this work, we use the novel accurate pixel-driven method proposed by our group [38]. e linear system is large scale, ill-posed and often underdetermined, so it is almost impossible to solve it by calculating the pseudoinverse of A.…”

Section: Imaging System Modelingmentioning

confidence: 99%

A Doubly Constrained TV Algorithm for Image Reconstruction

Zhang

Redler

Epel

et al. 2020

Mathematical Problems in Engineering

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Purpose. The total variation (TV) minimization algorithm is an effective image reconstruction algorithm capable of accurately reconstructing images from sparse and/or noisy data. The TV model consists of two terms: a data fidelity term and a TV regularization term. Two constrained TV models, data divergence-constrained TV minimization (DDcTV) and TV-constrained data divergence minimization (TVcDM), have been successfully applied to computed tomography (CT) and electron paramagnetic resonance imaging (EPRI). In this work, we propose a new constrained TV model, a doubly constrained TV (dcTV) model, which has the potential to further improve the reconstruction accuracy for the two terms which are both of constraint forms. Methods. We perform an inverse crime study to validate the model and its Chambolle-Pock (CP) solver and characterize the performance of the dcTV-CP algorithm in the context of CT. To demonstrate the superiority of the dcTV model, we compare the convergence rate and the reconstruction accuracy with the DDcTV and TVcDM models via simulated data. Results and Conclusions. The performance-characterizing study shows that the dcTV-CP algorithm is an accurate and convergent algorithm, with the model parameters impacting the reconstruction accuracy and the algorithm parameters impacting the convergence path and rate. The comparison studies show that the dcTV-CP algorithm has a relatively fast convergence rate and can achieve higher reconstruction accuracy from sparse projections or noisy projections relative to the other two single-constrained TV models. The knowledge and insights gained in the work may be utilized in the application of the new model in other imaging modalities including divergence-beam CT, magnetic resonance imaging (MRI), positron emission tomography (PET), and EPRI.

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Section: Imaging System Modelingmentioning

confidence: 99%

A Doubly Constrained TV Algorithm for Image Reconstruction

Zhang

Redler

Epel

et al. 2020

Mathematical Problems in Engineering

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“…In this work, we use isotropic cubic voxels as image basis and calculate gradient matrix D on-the-fly following (5)- (7). Matrix A corresponds to the forward projections that can be computed on-the-fly by use of the voxel-driven projection model [29]. The selection of TV bound will be discussed in complex physical phantom study below.…”

Section: E Reconstruction Parametersmentioning

confidence: 99%

“…Accordingly, the size of the system matrix A is 66, 240×512, 000. Its values may be calculated by accurate voxel-driven method [29].…”

Section: Imaging Conditionsmentioning

confidence: 99%

Optimization-Based Image Reconstruction From Fast-Scanned, Noisy Projections in EPR Imaging

et al. 2019

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Tumor oxygen concentration image is essential to oxygen-image guided, precise radiation therapy. Electron paramagnetic resonance imaging is an advanced oxygen imaging technique. However, the scanning time is still comparatively long, leading to motion artifacts for static imaging and low time resolution for dynamic imaging. Usually, a projection signal at a specific angle is obtained by averaging thousands of repeatedly collected projections to suppress random noise and achieve a high signal-to-noise ratio (SNR). Reducing the repetition times of projection collecting at a specific angle may effectively speed up the whole scanning process. However, the EPR images reconstructed by the conventional three-dimensional filtered backprojection (FBP) algorithm from these fast-scanned, low SNR projections are too noisy to be used for further image postprocessing. In the paper, we investigate the capability of an optimization-based algorithm in accurate reconstruction from noisy projections. We designed a total variation constrained, data divergence minimization model, derived its Chambolle-Pock (CP) solving algorithm, and then validated and evaluated the CP algorithm via mathematical and physical phantoms. The studies show that the CP algorithm may accurately reconstruct EPR images from fast-scanned, noisy projections, and thus the whole scanning process may be speeded up four times compared with the full scan time demanded by the FBP algorithm in the image reconstruction of the complex physical phantom.INDEX TERMS Chambolle-Pock (CP) algorithm, electron paramagnetic resonance imaging (EPRI), fast scan, optimization, total variation (TV) minimization.

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“…The reconstruction software utilizes a filtered-back projection method. 42,43 The images had 64 bins for the spatial axes. The spatial resolution of the images is about 1.6 mm.…”

Section: Four-dimensional Spectral-spatial Imagingmentioning

confidence: 99%

Tabletop 700 MHz electron paramagnetic resonance imaging spectrometer

Buchanan

Rinard

Quine

et al. 2018

Concepts Magn Reson

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Low frequency electron paramagnetic resonance imaging is a powerful tool to non-invasively measure the physiological status of tumors. Here, we report on the design and functionality of a rapid scan and pulse table-top imaging spectrometer based around an arbitrary waveform generator and 25mm cross-loop resonator operating at 700 MHz. Two and four-dimensional rapid scan spectral-spatial images are presented. This table-top imager is a prototype for future pre-clinical imagers.

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Three novel accurate pixel-driven projection methods for 2D CT and 3D EPR imaging

Cited by 13 publications

References 24 publications

A Doubly Constrained TV Algorithm for Image Reconstruction

A Doubly Constrained TV Algorithm for Image Reconstruction

Optimization-Based Image Reconstruction From Fast-Scanned, Noisy Projections in EPR Imaging

Tabletop 700 MHz electron paramagnetic resonance imaging spectrometer

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