Clark Darin P, Lee Chang-Lung, Kirsch David G, Badea Cristian T
Department of Radiology, Center for In Vivo Microscopy, Duke University Medical Center, Durham, North Carolina 27710.
Department of Radiation Oncology, Duke University Medical Center, Durham, North Carolina 27710.
Med Phys. 2015 Nov;42(11):6317-36. doi: 10.1118/1.4931407.
X-ray computed tomography (CT) is widely used, both clinically and preclinically, for fast, high-resolution anatomic imaging; however, compelling opportunities exist to expand its use in functional imaging applications. For instance, spectral information combined with nanoparticle contrast agents enables quantification of tissue perfusion levels, while temporal information details cardiac and respiratory dynamics. The authors propose and demonstrate a projection acquisition and reconstruction strategy for 5D CT (3D+dual energy+time) which recovers spectral and temporal information without substantially increasing radiation dose or sampling time relative to anatomic imaging protocols.
The authors approach the 5D reconstruction problem within the framework of low-rank and sparse matrix decomposition. Unlike previous work on rank-sparsity constrained CT reconstruction, the authors establish an explicit rank-sparse signal model to describe the spectral and temporal dimensions. The spectral dimension is represented as a well-sampled time and energy averaged image plus regularly undersampled principal components describing the spectral contrast. The temporal dimension is represented as the same time and energy averaged reconstruction plus contiguous, spatially sparse, and irregularly sampled temporal contrast images. Using a nonlinear, image domain filtration approach, the authors refer to as rank-sparse kernel regression, the authors transfer image structure from the well-sampled time and energy averaged reconstruction to the spectral and temporal contrast images. This regularization strategy strictly constrains the reconstruction problem while approximately separating the temporal and spectral dimensions. Separability results in a highly compressed representation for the 5D data in which projections are shared between the temporal and spectral reconstruction subproblems, enabling substantial undersampling. The authors solved the 5D reconstruction problem using the split Bregman method and GPU-based implementations of backprojection, reprojection, and kernel regression. Using a preclinical mouse model, the authors apply the proposed algorithm to study myocardial injury following radiation treatment of breast cancer.
Quantitative 5D simulations are performed using the MOBY mouse phantom. Twenty data sets (ten cardiac phases, two energies) are reconstructed with 88 μm, isotropic voxels from 450 total projections acquired over a single 360° rotation. In vivo 5D myocardial injury data sets acquired in two mice injected with gold and iodine nanoparticles are also reconstructed with 20 data sets per mouse using the same acquisition parameters (dose: ∼60 mGy). For both the simulations and the in vivo data, the reconstruction quality is sufficient to perform material decomposition into gold and iodine maps to localize the extent of myocardial injury (gold accumulation) and to measure cardiac functional metrics (vascular iodine). Their 5D CT imaging protocol represents a 95% reduction in radiation dose per cardiac phase and energy and a 40-fold decrease in projection sampling time relative to their standard imaging protocol.
Their 5D CT data acquisition and reconstruction protocol efficiently exploits the rank-sparse nature of spectral and temporal CT data to provide high-fidelity reconstruction results without increased radiation dose or sampling time.
X射线计算机断层扫描(CT)在临床和临床前均被广泛用于快速、高分辨率的解剖成像;然而,在功能成像应用中扩大其使用范围仍存在令人信服的机会。例如,光谱信息与纳米颗粒造影剂相结合可实现组织灌注水平的量化,而时间信息则详细描述了心脏和呼吸动力学。作者提出并演示了一种用于5D CT(3D + 双能 + 时间)的投影采集和重建策略,该策略相对于解剖成像协议,在不显著增加辐射剂量或采样时间的情况下恢复光谱和时间信息。
作者在低秩和稀疏矩阵分解框架内处理5D重建问题。与先前关于秩稀疏约束CT重建的工作不同,作者建立了一个显式的秩稀疏信号模型来描述光谱和时间维度。光谱维度表示为一个采样良好的时间和能量平均图像加上描述光谱对比度的规则欠采样主成分。时间维度表示为相同的时间和能量平均重建加上连续的、空间稀疏的和不规则采样的时间对比度图像。使用一种非线性的图像域滤波方法,作者称之为秩稀疏核回归,将图像结构从采样良好的时间和能量平均重建转移到光谱和时间对比度图像。这种正则化策略严格约束重建问题,同时近似分离时间和光谱维度。可分离性导致5D数据的高度压缩表示,其中投影在时间和光谱重建子问题之间共享,从而实现大量欠采样。作者使用分裂Bregman方法以及基于GPU的反投影、重投影和核回归实现来解决5D重建问题。使用临床前小鼠模型,作者应用所提出的算法来研究乳腺癌放疗后的心肌损伤。
使用MOBY小鼠模型进行定量5D模拟。从单次360°旋转采集的450个总投影中,以88μm各向同性体素重建20个数据集(十个心脏相位,两种能量)。在两只注射了金和碘纳米颗粒的小鼠中获取的体内5D心肌损伤数据集,也使用相同的采集参数(剂量:约60 mGy),每只小鼠重建20个数据集。对于模拟和体内数据,重建质量足以将材料分解为金和碘图,以定位心肌损伤的范围(金积累)并测量心脏功能指标(血管碘)。他们的5D CT成像协议相对于其标准成像协议,每个心脏相位和能量的辐射剂量降低了95%,投影采样时间减少了40倍。
他们的5D CT数据采集和重建协议有效地利用了光谱和时间CT数据的秩稀疏特性,在不增加辐射剂量或采样时间的情况下提供高保真重建结果。