Clement Gregory T
Department of Biomedical Engineering, Cleveland Clinic Foundation, 9500 Euclid Ave/ND 20, Cleveland, Ohio 44195.
Inverse Probl. 2014 Dec;30(12). doi: 10.1088/0266-5611/30/12/125010.
An approach to diffraction tomography is investigated for two-dimensional image reconstruction of objects surrounded by an arbitrarily-shaped curve of sources and receivers. Based on the integral theorem of Helmholtz and Kirchhoff, the approach relies upon a valid choice of the Green's functions for selected conditions along the (possibly-irregular) boundary. This allows field projections from the receivers to an arbitrary external location. When performed over all source locations, it will be shown that the field caused by a hypothetical source at this external location is also known along the boundary. This field can then be projected to new external points that may serve as a virtual receiver. Under such a reformation, data may be put in a form suitable for image construction by synthetic aperture methods. Foundations of the approach are shown, followed by a mapping technique optimized for the approach. Examples formed from synthetic data are provided.
研究了一种用于被任意形状的源曲线和接收器曲线包围的物体的二维图像重建的衍射层析成像方法。基于亥姆霍兹和基尔霍夫的积分定理，该方法依赖于沿着（可能不规则的）边界针对选定条件对格林函数的有效选择。这允许从接收器到任意外部位置的场投影。当在所有源位置上进行时，将表明在该外部位置由假设源引起的场在边界上也是已知的。然后可以将该场投影到可以用作虚拟接收器的新外部点。在这种变换下，可以通过合成孔径方法将数据整理成适合图像构建的形式。展示了该方法的基础，随后是针对该方法优化的映射技术。提供了由合成数据形成的示例。
