Fang Qianqian, Meaney Paul M, Paulsen Keith D
Thayer School of Engineering, Dartmouth College, Hanover, NH 03755, USA.
IEEE Trans Image Process. 2006 Nov;15(11):3311-24. doi: 10.1109/tip.2006.881999.
Spatial unwrapping of the phase component of time varying electromagnetic fields has important implications in a range of disciplines including synthetic aperture radar (SAR) interferometry, MRI, optical confocal microscopy, and microwave tomography. This paper presents a fundamental framework based on the phase unwrapping integral, especially in the complex case where phase singularities are enclosed within the closed path integral. With respect to the phase unwrapping required when utilized in Gauss-Newton iterative microwave image reconstruction, the concept of dynamic phase unwrapping is introduced where the singularity location varies as a function of the iteratively modified property distributions. Strategies for dynamic phase unwrapping in the microwave problem were developed and successfully tested in simulations and clinical experiments utilizing large, high contrast targets to validate the approach.
时变电磁场相位分量的空间展开在包括合成孔径雷达（SAR）干涉测量、磁共振成像（MRI）、光学共聚焦显微镜和微波断层扫描在内的一系列学科中具有重要意义。本文提出了一个基于相位展开积分的基本框架，特别是在相位奇点包含在闭合路径积分内的复杂情况下。关于在高斯 - 牛顿迭代微波图像重建中使用时所需的相位展开，引入了动态相位展开的概念，其中奇点位置随迭代修改的特性分布而变化。开发了微波问题中动态相位展开的策略，并在利用大型高对比度目标的模拟和临床实验中成功进行了测试，以验证该方法。
