Astheimer Jeffrey P, Waag Robert C
Department of Electrical and Computer Engineering, University of Rochester, Rochester, New York 14627, USA.
J Acoust Soc Am. 2008 Oct;124(4):2353-63. doi: 10.1121/1.2967482.
A method of image reconstruction from scattering measurements for use in ultrasonic imaging is presented. The method employs distorted-wave Born iteration but does not require using a forward-problem solver or solving large systems of equations. These calculations are avoided by limiting intermediate estimates of medium variations to smooth functions in which the propagated fields can be approximated by phase perturbations derived from variations in a geometric path along rays. The reconstruction itself is formed by a modification of the filtered-backpropagation formula that includes correction terms to account for propagation through an estimated background. Numerical studies that validate the method for parameter ranges of interest in medical applications are presented. The efficiency of this method offers the possibility of real-time imaging from scattering measurements.
提出了一种用于超声成像的基于散射测量的图像重建方法。该方法采用扭曲波玻恩迭代,但不需要使用正向问题求解器或求解大型方程组。通过将介质变化的中间估计限制为平滑函数来避免这些计算,在这些平滑函数中,传播场可以通过沿射线的几何路径变化所导出的相位扰动来近似。重建本身是通过对滤波反传播公式的修改形成的,该公式包括校正项以考虑通过估计背景的传播。给出了验证该方法在医学应用感兴趣的参数范围内有效性的数值研究。该方法的效率为基于散射测量进行实时成像提供了可能性。