论文标题
物理启发的正则脉搏回波定量超声:ADMM有效优化
Physics-Inspired Regularized Pulse-Echo Quantitative Ultrasound: Efficient Optimization with ADMM
论文作者
论文摘要
估计组织微观结构的定量特性的脉冲回波定量超声(PEQUS)需要估计平均衰减和反向散射系数(BSC)。最近的研究越来越集中在这些参数的正则估计上。在本文中,我们为这一领域做出了两个贡献:首先,我们考虑平均衰减和反向散射的物理学,以相应地设计正规化术语。更具体地说,由于平均衰减在组织的不同部位逐渐改变,而BSC的平均衰减在组织之间的变化明显变化,因此我们分别为平均衰减和BSC应用L2和L1规范。其次,我们根据其噪声水平将不同权重的不同频率和深度乘以不同的频率。我们的理由是,深区域的功率光谱的高频内容具有较低的信噪比。我们利用乘数的交替方向方法(ADMM)来优化成本函数。对偏差和方差的定性和定量评估表明,我们提出的算法显着改善了平均衰减和BSC的估计。
Pulse-echo Quantitative ultrasound (PEQUS), which estimates the quantitative properties of tissue microstructure, entails estimating the average attenuation and the backscatter coefficient (BSC). Growing recent research has focused on the regularized estimation of these parameters. Herein, we make two contributions to this field: First, we consider the physics of the average attenuation and backscattering to devise regularization terms accordingly. More specifically, since the average attenuation gradually alters in different parts of the tissue while BSC can vary markedly from tissue to tissue, we apply L2 and L1 norms for the average attenuation and the BSC, respectively. Second, we multiply different frequencies and depths of the power spectra with different weights according to their noise levels. Our rationale is that the high-frequency contents of the power spectra at deep regions have a low signal-to-noise ratio. We exploit the alternating direction method of multipliers (ADMM) for optimizing the cost function. Qualitative and quantitative evaluation of bias and variance exhibit that our proposed algorithm substantially improves the estimations of the average attenuation and the BSC.