Tracy M L, Johnson S A
Ultrason Imaging. 1983 Oct;5(4):376-92. doi: 10.1177/016173468300500407.
In part I, we presented a method for solving the inverse scattering problem using multiple sources and detectors. Allowance for multiple angles of incident radiation improves the ill-posed nature of the inverse problem by improving the quality and quantity of information gathered at detector points. This paper describes implementation and numerical evaluation of the method. An 11 by 11 image reconstructed from noisy scattered field data is shown to closely match the original scattering object, and the improvement possible by constraining the reconstruction to be spatially band limited is demonstrated. Furthermore, for a somewhat simpler "pseudo-inverse problem," we give findings on the effects that detector radius, degree of over determination, noise, and object contrast have on reconstruction quality.
在第一部分中，我们提出了一种使用多个源和探测器来解决逆散射问题的方法。考虑到入射辐射的多个角度，通过提高在探测器点收集的信息的质量和数量，改善了逆问题的不适定性。本文描述了该方法的实现和数值评估。从有噪声的散射场数据重建的11×11图像显示与原始散射物体紧密匹配，并展示了通过将重建限制在空间带宽受限来实现的改进。此外，对于一个稍微简单一点的“伪逆问题”，我们给出了探测器半径、超定程度、噪声和物体对比度对重建质量影响的研究结果。
