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CT Reconstruction using Nonlinear Diffusion Posterior Sampling with Detector Blur Modeling. 利用探测器模糊建模的非线性扩散后置采样进行 CT 重建
Shudong Li, Xiao Jiang, Yuan Shen, J Webster Stayman

There has been a great deal of work seeking to improve image quality in CT reconstruction through deep-learning-based denoising; however, there are many applications where it is spatial resolution that limits application and diagnostics. In this work, we week to improve spatial resolution in CT reconstructions through a combination of deep learning and physical modeling of detector blur. To achieve this goal, we leverage diffusion models as deep image priors to help regularize a joint deblurring and reconstruction problem. Specifically, we adopt Diffusion Posterior Sampling (DPS) as a way to combine a deep prior with a likelihood-based forward model for the measurements. The model we adopt is nonlinear since detector blur is applied after the nonlinear attenuation given by the Beer-Lambert lab. We trained a score estimator for a CT score-based prior, and then apply Bayes rule to combine this prior with a measurement likelihood score for CT reconstruction with detector blur. We demonstrate the approach in simulated data, and compare image outputs with traditional filtered-backprojection (FBP) and model-based iterative reconstruction (MBIR) across a range of exposures. We find a particular advantage of the DPS approach for low exposure data and report on major differences in the errors between DPS and classical reconstruction methods.

通过基于深度学习的去噪技术提高 CT 重建图像质量的工作已经开展了很多;然而,在很多应用中,空间分辨率限制了应用和诊断。在这项工作中,我们将深度学习与探测器模糊的物理建模相结合,致力于提高 CT 重建的空间分辨率。为了实现这一目标,我们利用扩散模型作为深度图像前验,帮助正则化联合去模糊和重建问题。具体来说,我们采用扩散后验采样(DPS),将深度先验与基于似然的测量前向模型相结合。我们采用的模型是非线性的,因为探测器模糊是在比尔-朗伯实验室给出的非线性衰减之后应用的。我们为基于 CT 分数的先验模型训练了一个分数估计器,然后应用贝叶斯规则将该先验模型与测量似然分数相结合,用于带有探测器模糊的 CT 重建。我们在模拟数据中演示了这种方法,并将图像输出与传统的滤波背投影(FBP)和基于模型的迭代重建(MBIR)进行了比较。我们发现 DPS 方法在低曝光数据方面具有特殊优势,并报告了 DPS 与传统重建方法在误差方面的主要差异。
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引用次数: 0
CT Material Decomposition using Spectral Diffusion Posterior Sampling. 利用频谱扩散后向采样进行 CT 材料分解
Xiao Jiang, Grace J Gang, J Webster Stayman

In this work, we introduce a new deep learning approach based on diffusion posterior sampling (DPS) to perform material decomposition from spectral CT measurements. This approach combines sophisticated prior knowledge from unsupervised training with a rigorous physical model of the measurements. A faster and more stable variant is proposed that uses a "jumpstarted" process to reduce the number of time steps required in the reverse process and a gradient approximation to reduce the computational cost. Performance is investigated for two spectral CT systems: dual-kVp and dual-layer detector CT. On both systems, DPS achieves high Structure Similarity Index Metric Measure(SSIM) with only 10% of iterations as used in the model-based material decomposition(MBMD). Jumpstarted DPS (JSDPS) further reduces computational time by over 85% and achieves the highest accuracy, the lowest uncertainty, and the lowest computational costs compared to classic DPS and MBMD. The results demonstrate the potential of JSDPS for providing relatively fast and accurate material decomposition based on spectral CT data.

在这项工作中,我们引入了一种基于扩散后验采样(DPS)的新型深度学习方法,用于从光谱 CT 测量结果中进行材料分解。这种方法将来自无监督训练的复杂先验知识与严格的测量物理模型相结合。我们提出了一种更快、更稳定的变体,它使用 "跳跃启动 "过程来减少反向过程所需的时间步数,并使用梯度近似来降低计算成本。研究了两种光谱 CT 系统的性能:双 kVp 和双层探测器 CT。在这两种系统上,DPS 都能达到很高的结构相似度指数度量(SSIM),而基于模型的材料分解(MBMD)只需要 10% 的迭代次数。与传统的 DPS 和 MBMD 相比,JSDPS 进一步减少了 85% 以上的计算时间,并实现了最高的精度、最低的不确定性和最低的计算成本。这些结果证明了 JSDPS 在基于光谱 CT 数据提供相对快速和准确的材料分解方面的潜力。
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引用次数: 0
Joint Material Decomposition and Scatter Estimation for Spectral CT. 光谱 CT 的联合材料分解与散射估计
Altea Lorenzon, Stephen Z Liu, Xiao Jiang, Grace J Gang, J Webster Stayman, Grace J Gang

Accurate scatter correction is essential to obtain highquality reconstructions in computed tomography. While many correction strategies for this longstanding issue have been developed, additional efforts may be required for spectral CT imaging - which is particularly sensitive to unmodeled biases. In this work we explore a joint estimation approach within a one-step model-based material decomposition framework to simultaneously estimate material densities and scatter profiles in spectral CT. The method is applied to simulated phantom data obtained using a parametric additive scatter mode, and compared to the unmodeled scatter scenario. In these preliminary experiments, We find that this joint estimation approach has the potential to significantly reduce artifacts associated with unmodeled scatter and to improve material density estimates.

在计算机断层扫描中,精确的散射校正对获得高质量的重建至关重要。虽然针对这一长期存在的问题已经开发了许多校正策略,但对于光谱 CT 成像来说,可能还需要更多的努力,因为光谱 CT 成像对未建模的偏差特别敏感。在这项工作中,我们在基于模型的一步式材料分解框架内探索了一种联合估算方法,以同时估算光谱 CT 中的材料密度和散射剖面。该方法应用于使用参数相加散射模式获得的模拟幻影数据,并与未建模散射情况进行比较。在这些初步实验中,我们发现这种联合估算方法有可能显著减少与未建模散射相关的伪影,并改进材料密度估算。
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引用次数: 0
Lifelike and Deformable Lung Phantoms for 4DCT Imaging: A Three-Dimensional Printing Approach.
Jessica Y Im, Neghemi Micah, Amy E Perkins, Michael Geagan, Sven Kabus, Kai Mei, Peter B Noël

Respiratory motion phantoms can be used for evaluation of CT imaging technologies such as motion artifact reduction algorithms and deformable image registration. However, current respiratory motion phantoms do not exhibit detailed lung tissue structures and thus do not provide a realistic testing environment. This paper presents PixelPrint4D, a method for 3D-printing deformable lung phantoms featuring highly realistic internal structures, suitable for a broad range of CT evaluations, optimizations, and research. The phantom in this study was designed with a patient 4DCT as a reference and 3D-printed using an extended version of the PixelPrint method for developing patient-specific CT phantoms. A flexible thermoplastic polyurethane (TPU) 3D-printing material was used, which produced regions with attenuation between -840 and -48 Hounsfield units (HU). A linear compression device was then designed and used to compress the phantom in the superior-inferior (SI) direction, and the phantom was scanned at different compression levels matched to the diaphragm displacements measured on the reference patient 4DCT. Deformable image registration (DIR) was performed, and motion vector fields were obtained for both patient and phantom images. SI displacements of selected features in the lung had mean errors of 0.5 mm difference from the patient, or less than the reconstructed slice thickness. In conclusion, the deformable lung phantom developed in this study exhibits realistic lung structures and deformation characteristics under compression, indicating potential for advancing more lifelike respiratory motion phantoms.

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引用次数: 0
Double bowtie design for high sensitivity pediatric spectral CT.
Olivia F Sandvold, Yinglin Ge, Roland Proksa, Peter B Noël

Despite the evident benefits of spectral computed tomography (CT) in delivering qualitative imaging superior to that of conventional CT in adults, its application in pediatric diagnostic imaging is still relatively limited due to various reasons, including design limitations and radiation dose considerations. The use of specialized K-edge filters, in conjunction with other spectral technologies, has been demonstrated to improve spectral quantification accuracy. X-ray flux limitations generally pose challenges in these concepts when applied to adults. However, such limitations are not present in pediatric imaging, allowing the full exploitation of K-edge filters to improve performance. To facilitate the adoption of spectral CT's benefits, as seen in the adult population, into pediatric settings, we introduce an innovative double bowtie filter design. This design incorporates a K-edge material coupled with Teflon and is integrated with rapid kVp-switching technology. A Python simulation was built to model a rapid kVp-switching x-ray tube and to estimate Cramer-Rao lower bound (CRLB) noise in photoelectric and Compton scatter basis domains. We estimate a conventional bowtie filter and corresponding reference patient dose before optimizing double bowtie configurations to contain the highest obtainable spectral signal-to-noise content for the specified phantom. Our findings indicate that an optimal combination of holmium and Teflon in the filter geometry can increase spectral SNR up to twofold the conventional estimates, while still maintaining low radiation dose exposure. This study broadens the scope for pediatric patients to fully benefit from the capabilities of spectral CT.

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引用次数: 0
Spectral Orbits: Combining Spectral Imaging and Non-Circular Orbits for Interventional CBCT. 光谱轨道:将光谱成像和非圆形轨道结合用于介入 CBCT。
Grace J Gang

Cone-beam CT imaging using non-circular orbits has been demonstrated to be effective in reducing artifacts around metal. With the increasing interest in spectral imaging in the interventional suite, there are potential advantages to combine both technologies to yield further image quality benefits. We simulated a neuro-interventional application where imaging around the embolization is challenged by metal artifacts and the differentiation of bleeds and contrast extravasation is difficult with single-energy imaging. The imaging system was simulated with a dual-layer detector and different sinusoidal orbits. Material decomposition used a projection-domain approach followed by a model-based reconstruction of the density line integrals of each basis. The spectral non-circular orbits acquisitions were compared with single-energy circular, single-energy non-circular, and spectral circular orbits. Results using spectral non-circular orbit contain minimal metal artifacts and allow the differentiation of bleeds and contrast extravasation, demonstrating the potential of the combined technologies.

使用非圆形轨道的锥形束 CT 成像已被证明能有效减少金属周围的伪影。随着介入手术室对光谱成像的兴趣与日俱增,将这两种技术结合起来可进一步提高成像质量。我们模拟了一种神经介入应用,在这种应用中,栓塞周围的成像受到金属伪影的挑战,单能量成像很难区分出血和造影剂外渗。模拟成像系统采用了双层探测器和不同的正弦轨道。材料分解采用投影域方法,然后对每个基点的密度线积分进行基于模型的重建。光谱非圆轨道采集与单能量圆轨道、单能量非圆轨道和光谱圆轨道进行了比较。使用光谱非圆轨道获得的结果含有极少的金属伪影,并能区分出血和对比剂外渗,这证明了组合技术的潜力。
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引用次数: 0
Multi-Contrast CT Imaging with a Prototype Spatial-Spectral Filter. 基于原型空间光谱滤波器的多对比度CT成像。
Matthew Tivnan, Wenying Wang, J Webster Stayman

Spectral CT has great potential for a variety of clinical applications due to the improved material discrimination with respect to conventional CT. Many clinical and preclinical spectral CT systems have two spectral channels for dual-energy CT using strategies such as split-filtration, dual-layer detectors, or kVp-switching. However, there are emerging clinical imaging applications which would require three or more spectral sensitivity channels, for example, multiple exogenous contrast agents in a single scan. Spatial-spectral filters are a new spectral CT technology which use x-ray beam modulation to offer greater spectral diversity. The device consists of an array of k-edge filters which divide the x-ray beam into spectrally varied beamlets. This design allows for an arbitrary number of spectral channels; however, traditional two-step reconstruction-decomposition schemes are typically not effective because the measured data for any individual spectral channel is sparse in the projection domain. Instead, we use a one-step model-based material decomposition algorithm to iteratively estimate material density images directly from spectral CT data. In this work, we present a prototype spatial-spectral filter integrated with an x-ray CT test-bench. The filter is composed of an array of tin, erbium, tantalum, and lead filter tiles which spatially modulate the system spectral sensitivity pattern. After the system was characterized and modeled, we conducted a spectral CT scan of a multi-contrast-enhanced phantom containing water, iodine, and gadolinium solutions. We present the resulting spectral CT data as well as the material density images estimated by model-based material decomposition. The calibrated system model is in close agreement with the measured data, and the reconstructed material density images match the ground truth concentrations for the multi-contrast phantom. These preliminary results demonstrate the potential of spatial-spectral filters to enable multi-contrast imaging and other new clinical applications of spectral CT.

与传统CT相比,光谱CT具有更好的材料识别能力,在各种临床应用中具有很大的潜力。许多临床和临床前光谱CT系统具有双能量CT的两个光谱通道,使用诸如分裂过滤,双层检测器或kvp开关等策略。然而,有新兴的临床成像应用需要三个或更多的光谱灵敏度通道,例如,在一次扫描中使用多种外源性造影剂。空间光谱滤波器是一种新的光谱CT技术,它利用x射线束调制来提供更大的光谱多样性。该装置由一组k边滤波器组成,该滤波器将x射线束分成光谱变化的光束。这种设计允许任意数量的光谱通道;然而,传统的两步重建分解方案通常效果不佳,因为任何单个频谱通道的测量数据在投影域中都是稀疏的。相反,我们使用一步基于模型的材料分解算法,直接从光谱CT数据迭代估计材料密度图像。在这项工作中,我们提出了一个与x射线CT试验台集成的原型空间光谱滤波器。该滤光片由锡、铒、钽和铅滤光片阵列组成,其在空间上调制系统的光谱灵敏度模式。在对系统进行表征和建模后,我们对含有水、碘和钆溶液的多对比度增强模体进行了光谱CT扫描。我们给出了结果的光谱CT数据以及基于模型的材料分解估计的材料密度图像。校正后的系统模型与实测数据吻合较好,重建的材料密度图像与多对比度模型的真实浓度相匹配。这些初步结果证明了空间光谱滤波器在实现多对比成像和光谱CT其他新的临床应用方面的潜力。
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引用次数: 0
Metal-Tolerant Noncircular Orbit Design and Implementation on Robotic C-Arm Systems. 机器人c臂系统耐金属非圆轨道设计与实现。
Grace J Gang, Tom Russ, Yiqun Ma, Christian Toennes, Jeffrey H Siewerdsen, Lothar R Schad, J Webster Stayman

Metal artifacts are a major confounding factor for image quality in CT, especially in image-guided surgery scenarios where surgical tools and implants frequently occur in the field-of-view. Traditional metal artifact correction methods typically use algorithmic solutions to interpolate over the highly attenuated projection measurements where metal is present but cannot recover the missing information obstructed by the metal. In this work, we treat metal artifacts as a missing data problem and employ noncircular orbits to maximize data completeness in the presence of metal. We first implement a local data completeness metric based on Tuy's condition as the percentage of great circles sampled by a particular orbit and accounted for the presence of metal by discounting any rays that pass through metal. We then compute the metric over many locations and many possible metal locations to reflect data completeness for arbitrary metal placements within a volume of interest. We used this metric to evaluate the effectiveness of sinusoidal orbits of different magnitudes and frequencies in metal artifact reduction. We also evaluated noncircular orbits in two imaging systems for phantoms with different metal objects and metal arrangements. Among a circular, tilted circular, and a sinusoidal orbit of two cycles per rotation, the latter is shown to most effectively remove metal artifacts. The noncircular orbit not only reduce the extent of streaks, but allows better visualization of spatial frequencies that cannot be recovered by metal artifact correction algorithms. These results illustrate the potential of relatively simple noncircular orbits to be robust against metal implants which ordinarily present significant challenges in interventional imaging.

金属伪影是影响CT图像质量的主要干扰因素,特别是在图像引导手术场景中,手术工具和植入物经常出现在视野中。传统的金属伪影校正方法通常使用算法解决方案来插值高度衰减的投影测量,其中金属存在,但不能恢复被金属阻挡的缺失信息。在这项工作中,我们将金属工件视为缺失数据问题,并使用非圆形轨道来最大化金属存在下的数据完整性。我们首先实现一个基于Tuy条件的局部数据完整性度量,作为特定轨道采样的大圆的百分比,并通过贴现穿过金属的任何射线来解释金属的存在。然后,我们在许多位置和许多可能的金属位置上计算度量,以反映感兴趣的体积内任意金属放置的数据完整性。我们使用这个度量来评估不同大小和频率的正弦轨道在金属伪影减小中的有效性。我们还评估了两种成像系统中具有不同金属物体和金属排列的非圆轨道。在圆形、倾斜圆形和每旋转两个周期的正弦轨道中,后者显示出最有效地去除金属伪影。非圆形轨道不仅减少了条纹的范围,而且可以更好地可视化金属伪影校正算法无法恢复的空间频率。这些结果表明,相对简单的非圆形轨道具有抵抗金属植入物的潜力,而金属植入物通常在介入成像中存在重大挑战。
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引用次数: 0
High-Resolution Model-based Material Decomposition for Multi-Layer Flat-Panel Detectors. 基于高分辨率模型的多层平板探测器材料分解。
Yiqun Q Ma, Wenying Wang, Matt Tivnan, Junyuan Li, Minghui Lu, Jin Zhang, Josh Star-Lack, Richard E Colbeth, Wojciech Zbijewski, J Webster Stayman

In this work we compare a novel model-based material decomposition (MBMD) approach against a standard approach in high-resolution spectral CT using multi-layer flat-panel detectors. Physical experiments were conducted using a prototype dual-layer detector and a custom high-resolution iodine-enhanced line-pair phantom. Reconstructions were performed using three methods: traditional filtered back-projection (FBP) followed by image-domain decomposition, idealized MBMD with no blur modeling (iMBMD), and MBMD with system blur modeling (bMBMD). We find that both MBMD methods yielded higher resolution decompositions with lower noise than the FBP method, and that bMBMD further improves spatial resolution over iMBMD due to the additional blur modeling. These results demonstrate the advantages of MBMD in resolution performance and noise control over traditional methods for spectral CT. Model-based material decomposition hence has great potential in high-resolution spectral CT applications.

在这项工作中,我们比较了一种新的基于模型的材料分解(MBMD)方法与使用多层平板探测器的高分辨率光谱CT的标准方法。物理实验使用了一个原型双层探测器和定制的高分辨率碘增强线对幻影。采用传统的滤波反投影法(FBP)和图像域分解法(iMBMD)、无模糊建模的理想化MBMD和系统模糊建模的MBMD三种方法进行重建。我们发现两种方法都比FBP方法获得了更高的分解分辨率和更低的噪声,并且由于额外的模糊建模,bMBMD比iMBMD进一步提高了空间分辨率。这些结果表明MBMD在分辨率性能和噪声控制方面优于传统的频谱CT方法。因此,基于模型的材料分解在高分辨率光谱CT应用中具有很大的潜力。
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引用次数: 0
Perturbation Response of Model-based Material Decomposition with Edge-Preserving Penalties. 基于模型的保边惩罚材料分解的扰动响应。
Wenying Wang, Grace J Gang, Matthew Tivnan, J Webster Stayman

Spectral CT permits material discrimination beyond the structural information in conventional single-energy CT. Model-based material decomposition facilitates direct estimation of material density from spectral measurements, incorporating a general forward model for arbitrary spectral CT system, a statistical model of spectral CT measurements, and flexible regularization schemes. Such one-step approaches are promising for superior image quality, but the relationship between regularization parameters, imaging conditions, and reconstructed image properties is complicated. More specifically, the estimator is inherently nonlinear and may include additional nonlinearities like edge-preserving regularization, making image quality metrics intended for linear system evaluation difficult to apply. In this work, we seek approaches to quantify the image properties of this inherently nonlinear process through an investigation of perturbation response - the generalized system response to a local perturbation of arbitrary shape, location, and contrast. Such responses include cross-talk between material density channels, and we investigate the application of this metric in a sample spectral CT system. Inspired by the prior work under assumptions of local linearity and shift-invariant we also propose a prediction framework for perturbation response using a perceptron neural network. The proposed prediction framework offers an alternative to exhaustive evaluation and is a potential tool that can be used to prospectively choose optimal regularization parameters based on imaging conditions and diagnostic task.

在常规的单能量CT中,光谱CT允许材料识别超越结构信息。基于模型的材料分解有助于从光谱测量中直接估计材料密度,它结合了任意光谱CT系统的一般正演模型、光谱CT测量的统计模型和灵活的正则化方案。这种一步法有望获得较好的图像质量,但正则化参数、成像条件和重建图像属性之间的关系比较复杂。更具体地说,估计器本质上是非线性的,可能包括额外的非线性,如边缘保持正则化,使得用于线性系统评估的图像质量指标难以应用。在这项工作中,我们寻求通过对扰动响应的研究来量化这种固有非线性过程的图像特性的方法-对任意形状,位置和对比度的局部扰动的广义系统响应。这些响应包括材料密度通道之间的串扰,我们研究了该度量在样品光谱CT系统中的应用。受先前在局部线性和移位不变假设下的工作的启发,我们还提出了一个使用感知器神经网络的扰动响应预测框架。提出的预测框架提供了详尽评估的替代方案,是一种潜在的工具,可用于基于成像条件和诊断任务前瞻性地选择最佳正则化参数。
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引用次数: 0
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Conference proceedings. International Conference on Image Formation in X-Ray Computed Tomography
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