Modeling human observer detection for varying data acquisition in undersampled MRI for two-alternative forced choice (2-AFC) and forced localization tasks.

Rehan Mehta, Tetsuya A Kawakita, Angel R Pineda
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Abstract

Undersampling in the frequency domain (k-space) in MRI enables faster data acquisition. In this study, we used a fixed 1D undersampling factor of 5x with only 20% of the k-space collected. The fraction of fully acquired low k-space frequencies were varied from 0% (all aliasing) to 20% (all blurring). The images were reconstructed using a multi-coil SENSE algorithm. We used two-alternative forced choice (2-AFC) and the forced localization tasks with a subtle signal to estimate the human observer performance. The 2-AFC average human observer performance remained fairly constant across all imaging conditions. The forced localization task performance improved from the 0% condition to the 2.5% condition and remained fairly constant for the remaining conditions, suggesting that there was a decrease in task performance only in the pure aliasing situation. We modeled the average human performance using a sparse-difference of Gaussians (SDOG) Hotelling observer model. Because the blurring in the undersampling direction makes the mean signal asymmetric, we explored an adaptation for irregular signals that made the SDOG template asymmetric. To improve the observer performance, we also varied the number of SDOG channels from 3 to 4. We found that despite the asymmetry in the mean signal, both the symmetric and asymmetric models reasonably predicted the human performance in the 2-AFC experiments. However, the symmetric model performed slightly better. We also found that a symmetric SDOG model with 4 channels implemented using a spatial domain convolution and constrained to the possible signal locations reasonably modeled the forced localization human observer results.

在未充分采样的磁共振成像中,为双备选强迫选择(2-AFC)和强迫定位任务的不同数据采集建立人类观察者检测模型。
核磁共振成像中频域(k 空间)的欠采样可加快数据采集速度。在这项研究中,我们使用了 5 倍的固定 1D 欠采样因子,只采集了 20% 的 k 空间。完全采集的低 k 空间频率部分从 0%(全部为混叠)到 20%(全部为模糊)不等。使用多线圈 SENSE 算法重建图像。我们使用双备选强迫选择(2-AFC)和带有微妙信号的强迫定位任务来估计人类观察者的表现。在所有成像条件下,2-AFC 的人类观察者平均表现都相当稳定。强迫定位任务的成绩从 0% 条件到 2.5% 条件都有所提高,在其余条件下保持基本稳定,这表明只有在纯混叠情况下任务成绩才会下降。我们使用稀疏高斯差(SDOG)Hotelling 观察者模型来模拟人类的平均表现。由于欠采样方向的模糊使得平均信号不对称,我们探索了一种不规则信号的适应方法,使 SDOG 模板不对称。我们发现,尽管平均信号不对称,对称模型和非对称模型都能合理预测人类在 2-AFC 实验中的表现。不过,对称模型的表现略胜一筹。我们还发现,使用空间域卷积技术实现的具有 4 个通道的对称 SDOG 模型对可能的信号位置进行了限制,从而合理地模拟了人类观察者的强制定位结果。
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