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arXiv 2112.09375physics.med-ph
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谱CT的一步反演算法及其在动态锥束CT中的应用

One-step inversion algorithms for spectral CT, with application to dynamic Cone Beam CT

Frederic Jolivet, Georg Schramm, Johan Nuyts

摘要:

双能量锥形束计算机断层成像(DE-CBCT)是一种有前途的技术,可用于多种医疗应用,包括动态血管造影。最近,已经提出了一种动态两步法:首先,从多能量正弦图计算水和碘投影,然后,使用4D全变差(TV)约束重建从碘投影的碘对比度的动态图像。与两步法相比,一步法使用将多材料图像与多能量正弦图直接相关的模型。这类方法通过避免中间分解步骤来降低材料图像之间的噪声相关性是众所周知的,但是要求解决非凸的大规模优化问题,这可能是具有挑战性的。在这项工作中,我们使用非线性原始-对偶混合梯度法(NL-PDHGM)优化框架来提出基于经验模型的一步法的两个版本:第一个版本考虑了多方面的因素,材料图像作为静态对象,而第二个版本是针对特定应用开发的,具有静态水图像和由一系列3D碘组成的动态碘图像与不同时间点相关的图像。开发最后一个版本是为了在单次CBCT扫描期间获得血管中碘浓度的变化。为了评估所提出的一步方法,我们使用模拟,考虑CBCT系统与双层光谱探测器和脑体模与静态和动态血管树。所提出的一步方法进行了比较,2步方法。

英文摘要:

Dual Energy Cone Beam Computed Tomography (DE-CBCT) is a promising technique for several medical applications, including dynamic angiography. Recently, a dynamical two-step method has been proposed : first, the water and iodine projections are computed from the multi-energy sinograms, then, a dynamic image of the iodine contrast is reconstructed using 4D Total-Variation (TV) constrained reconstruction from the iodine projections. In contrast to the 2-step methods, one-step methods use a model relating directly the multi-material images to the multi-energy sinograms. This kind of methods are well-known to reduce the noise correlation between the material images by avoiding the intermediate decomposition step, but request to solve an non-convex large scale optimization problem which can be challenging. In this work we use the Non-Linear Primal-Dual Hybrid Gradient Method (NL-PDHGM) optimization framework to propose two versions of a one-step method which is based on an empirical model : the first one is a version which considers the multi-material images as static object whereas the second version is developped for a specific application with a static water image and a dynamic iodine image consisting of a series of 3D iodine images associated to different time points. This last version is developped to obtain the evolution of the iodine concentration in the blood vessels during a single CBCT scan. To evaluate the proposed one-step methods we used simulations which consider a CBCT system with dual layer spectral detector and a brain phantom with a static and a dynamic vascular tree. The proposed one-step methods are compared with 2-step methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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