UMass Medical School, 55 Lake Avenue North, Worcester, Massachusetts 01655, USA.
Med Phys. 2013 Aug;40(8):081904. doi: 10.1118/1.4811328.
Dedicated breast CT has great potential for improving the detection and diagnosis of breast cancer. Statistical iterative reconstruction (SIR) in dedicated breast CT is a promising alternative to traditional filtered backprojection (FBP). One of the difficulties in using SIR is the presence of free parameters in the algorithm that control the appearance of the resulting image. These parameters require tuning in order to achieve high quality reconstructions. In this study, the authors investigated the penalized maximum likelihood (PML) method with two commonly used types of roughness penalty functions: hyperbolic potential and anisotropic total variation (TV) norm. Reconstructed images were compared with images obtained using standard FBP. Optimal parameters for PML with the hyperbolic prior are reported for the task of detecting microcalcifications embedded in breast tissue.
Computer simulations were used to acquire projections in a half-cone beam geometry. The modeled setup describes a realistic breast CT benchtop system, with an x-ray spectra produced by a point source and an a-Si, CsI:Tl flat-panel detector. A voxelized anthropomorphic breast phantom with 280 μm microcalcification spheres embedded in it was used to model attenuation properties of the uncompressed woman's breast in a pendant position. The reconstruction of 3D images was performed using the separable paraboloidal surrogates algorithm with ordered subsets. Task performance was assessed with the ideal observer detectability index to determine optimal PML parameters.
The authors' findings suggest that there is a preferred range of values of the roughness penalty weight and the edge preservation threshold in the penalized objective function with the hyperbolic potential, which resulted in low noise images with high contrast microcalcifications preserved. In terms of numerical observer detectability index, the PML method with optimal parameters yielded substantially improved performance (by a factor of greater than 10) compared to FBP. The hyperbolic prior was also observed to be superior to the TV norm. A few of the best-performing parameter pairs for the PML method also demonstrated superior performance for various radiation doses. In fact, using PML with certain parameter values results in better images, acquired using 2 mGy dose, than FBP-reconstructed images acquired using 6 mGy dose.
A range of optimal free parameters for the PML algorithm with hyperbolic and TV norm-based potentials is presented for the microcalcification detection task, in dedicated breast CT. The reported values can be used as starting values of the free parameters, when SIR techniques are used for image reconstruction. Significant improvement in image quality can be achieved by using PML with optimal combination of parameters, as compared to FBP. Importantly, these results suggest improved detection of microcalcifications can be obtained by using PML with lower radiation dose to the patient, than using FBP with higher dose.
专用乳腺 CT 具有提高乳腺癌检测和诊断能力的巨大潜力。专用乳腺 CT 中的统计迭代重建(SIR)是传统滤波反投影(FBP)的一种很有前途的替代方法。在使用 SIR 时的一个困难是算法中存在控制重建图像外观的自由参数。为了实现高质量的重建,这些参数需要进行调整。在这项研究中,作者研究了惩罚最大似然(PML)方法,该方法使用两种常用的粗糙度惩罚函数:双曲位势和各向异性全变差(TV)范数。将重建图像与使用标准 FBP 获得的图像进行了比较。报告了在检测嵌入乳腺组织中的微钙化任务中使用双曲先验的 PML 的最佳参数。
计算机模拟用于在半圆锥束几何形状中获取投影。所描述的模型设置描述了一种现实的乳腺 CT 台式系统,其 X 射线光谱由点源和 a-Si、CsI:Tl 平板探测器产生。使用嵌入 280μm 微钙化球体的体素化拟人化乳腺体模来模拟悬垂位置下未压缩女性乳房的衰减特性。使用可分离抛物面代理算法和有序子集进行 3D 图像重建。使用理想观察者检测指数评估任务性能,以确定最佳 PML 参数。
作者的研究结果表明,在具有双曲位势的惩罚目标函数中,粗糙度惩罚权重和边缘保持阈值存在一个优选值范围,这导致了具有高对比度微钙化的低噪声图像。在数值观察者检测指数方面,与 FBP 相比,具有最佳参数的 PML 方法可显著提高性能(提高 10 倍以上)。还观察到双曲先验优于 TV 范数。对于 PML 方法的一些最佳参数对,在各种辐射剂量下也表现出更好的性能。事实上,使用某些参数值的 PML 甚至可以获得更好的图像,使用 2mGy 剂量获得的图像优于使用 6mGy 剂量获得的 FBP 重建图像。
为专用乳腺 CT 的微钙化检测任务提出了基于双曲和 TV 范数的 PML 算法的一系列最优自由参数。当使用 SIR 技术进行图像重建时,报告的值可以用作自由参数的起始值。与 FBP 相比,使用最佳参数组合的 PML 可显著提高图像质量。重要的是,这些结果表明,与使用较高剂量的 FBP 相比,使用较低剂量的 PML 可以提高对微钙化的检测能力。