论文标题
一个信号检测模型,用于量化非线性图像重建中的过度规范化
A signal detection model for quantifying over-regularization in non-linear image reconstruction
论文作者
论文摘要
目的:许多有用的图像质量指标用于评估线性图像重建技术不适用于或难以解释非线性图像重建。用于评估非线性图像重建的绝大多数指标是基于某种形式的全局图像保真度,例如图像根均方根误差(RMSE)。使用此类指标可能会导致过度验证,因为它们可以倾向于删除图像中的微妙细节。为了解决这一缺点,我们基于信号检测开发图像质量指标,该指标是替代精细图像细节的定性损失。方法:在乳腺CT模拟的背景下进行了指标,其中考虑了不同的等剂量构型。所获得的投影数量有所不同。图像重建是使用基于总变化限制最小二乘(TV-LSQ)的非线性算法进行的。通过图像RMSE和提出的基于信号检测的度量对图像进行视觉评估。后者使用一个小信号,并计算正式图和重建图像中的可检测性。通过图像重建过程的信号可检测性丢失被视为图像中细节损失的定量度量。结果:可见信号可检测性的丧失与TV-LSQ过度进行了块状或斑驳的外观息息相关,并且这种趋势与图像RMSE指标相反,这往往倾向于过度登记的图像。结论:拟议的基于信号检测的度量标准提供了与图像RMSE相称的图像质量评估。当使用非线性图像重建时,使用两个指标在确定CT算法和配置参数时产生有用的处方。
Purpose: Many useful image quality metrics for evaluating linear image reconstruction techniques do not apply to or are difficult to interpret for non-linear image reconstruction. The vast majority of metrics employed for evaluating non-linear image reconstruction are based on some form of global image fidelity, such as image root mean square error (RMSE). Use of such metrics can lead to over-regularization in the sense that they can favor removal of subtle details in the image. To address this shortcoming, we develop an image quality metric based on signal detection that serves as a surrogate to the qualitative loss of fine image details. Methods: The metric is demonstrated in the context of a breast CT simulation, where different equal-dose configurations are considered. The configurations differ in the number of projections acquired. Image reconstruction is performed with a non-linear algorithm based on total variation constrained least-squares (TV-LSQ). The images are evaluated visually, with image RMSE, and with the proposed signal-detection based metric. The latter uses a small signal, and computes detectability in the sinogram and in the reconstructed image. Loss of signal detectability through the image reconstruction process is taken as a quantitative measure of loss of fine details in the image. Results: Loss of signal detectability is seen to correlate well with the blocky or patchy appearance due to over-regularization with TV-LSQ, and this trend runs counter to the image RMSE metric, which tends to favor the over-regularized images. Conclusions: The proposed signal detection based metric provides an image quality assessment that is complimentary to that of image RMSE. Using the two metrics in concert may yield a useful prescription for determining CT algorithm and configuration parameters when non-linear image reconstruction is used.