Department of Biomedical Engineering, University of California Davis, Davis, California, USA.
Department of Radiology, University of California Davis, Sacramento, California, USA.
Med Phys. 2023 Dec;50(12):7558-7567. doi: 10.1002/mp.16685. Epub 2023 Aug 30.
Mathematical model observers have been shown to reasonably predict human observer performance and are useful when human observer studies are infeasible. Recently, convolutional neural networks (CNNs) have also been used as substitutes for human observers, and studies have shown their utility as an optimal observer. In this study, a CNN model observer is compared to the pre-whitened matched filter (PWMF) model observer in detecting simulated mass lesions inserted into 253 acquired breast computed tomography (bCT) images from patients imaged at our institution.
To compare CNN and PWMF model observers for detecting signal-known-exactly (SKE) location-known-exactly (LKE) simulated lesions in bCT images with real anatomical backgrounds, and to use these model observers collectively to optimize parameters and understand trends in performance with breast CT.
Spherical lesions with different diameters (1, 3, 5, 9 mm) were mathematically inserted into reconstructed patient bCT image data sets to mimic 3D mass lesions in the breast. 2D images were generated by extracting the center slice along the axial dimension or by slice averaging across adjacent slices to model thicker sections (0.4, 1.2, 2.0, 6.0, 12.4, 20.4 mm). The role of breast density was retrospectively studied using the range of breast densities intrinsic to the patient bCT data sets. In addition, mass lesions were mathematically inserted into Gaussian images matched to the mean and noise power spectrum of the bCT images to better understand the performance of the CNN in the context of a known ideal observer (the PWMF). The simulated Gaussian and bCT images were divided into training and testing data sets. Each training data set consisted of 91 600 images, and each testing data set consisted of 96 000 images. A CNN and PWMF was trained on the Gaussian training images, and a different CNN and PWMF was trained on the bCT training images. The trained model observers were tested, and receiver operating characteristic (ROC) curve analysis was used to evaluate detection performance. The area under the ROC curve (AUC) was the primary performance metric used to compare the model observers.
In the Gaussian background, the CNN performed essentially identically to the PWMF across lesion sizes and section thicknesses. In the bCT background, the CNN outperformed the PWMF across lesion size, breast density, and most section thicknesses. These findings suggest that there are higher-order features in bCT images that are harnessed by the CNN observer but are inaccessible to the PWMF.
The CNN performed equivalently to the ideal observer in Gaussian textures. In bCT background, the CNN captures more diagnostic information than the PWMF and may be a more pertinent observer when conducting optimal performance studies in breast CT images.
数学模型观察者已经被证明可以合理地预测人类观察者的表现,并且在人类观察者研究不可行时非常有用。最近,卷积神经网络(CNN)也被用作人类观察者的替代品,并且已经证明它们作为最优观察者的有用性。在这项研究中,将 CNN 模型观察者与预白化匹配滤波器(PWMF)模型观察者进行比较,以检测插入到从本机构成像的 253 个获得的乳房计算机断层扫描(bCT)图像中的模拟质量病变。
比较 CNN 和 PWMF 模型观察者在检测 bCT 图像中具有真实解剖背景的信号完全已知(SKE)位置完全已知(LKE)模拟病变的性能,并使用这些模型观察者来优化参数和理解乳房 CT 中的性能趋势。
使用不同直径(1、3、5、9mm)的球形病变在重建的患者 bCT 图像数据集上进行数学插入,以模拟乳房中的 3D 质量病变。通过沿轴向维度提取中心切片或通过在相邻切片上进行切片平均来生成 2D 图像,以模拟较厚的切片(0.4、1.2、2.0、6.0、12.4、20.4mm)。使用 bCT 图像固有范围内的乳房密度范围来回顾性研究乳房密度的作用。此外,将质量病变数学插入到与 bCT 图像的均值和噪声功率谱匹配的高斯图像中,以更好地了解在已知理想观察者(PWMF)背景下 CNN 的性能。模拟的高斯和 bCT 图像被分为训练和测试数据集。每个训练数据集由 91600 幅图像组成,每个测试数据集由 96000 幅图像组成。在高斯训练图像上训练 CNN 和 PWMF,在 bCT 训练图像上训练不同的 CNN 和 PWMF。对训练有素的模型观察者进行测试,并使用接收器操作特性(ROC)曲线分析来评估检测性能。ROC 曲线下的面积(AUC)是用于比较模型观察者的主要性能指标。
在高斯背景下,CNN 在病变大小和切片厚度方面与 PWMF 的表现基本相同。在 bCT 背景下,CNN 在病变大小、乳房密度和大多数切片厚度方面均优于 PWMF。这些发现表明,bCT 图像中存在可被 CNN 观察者利用但 PWMF 无法访问的更高阶特征。
CNN 在高斯纹理中与理想观察者表现相当。在 bCT 背景下,CNN 比 PWMF 捕获更多的诊断信息,并且在进行乳房 CT 图像的最佳性能研究时可能是更相关的观察者。