针对任意运动物体的衍射层析成像的基于全变分的重建与相位恢复
Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object
AI总结：
本研究针对玻恩近似下刚性物体不规则旋转时的光学衍射层析三维重建问题，对比了复值波图像已知与仅能测强度两种场景的重建算法，提出用带TV正则化的混合输入输出联合方法求解相位恢复问题。
摘要：
我们研究了在玻恩近似假设下，通过光学衍射层析成像重建三维物体的成像问题。我们的研究重点是刚性物体在声学或光学力作用下做不规则、随时间变化的旋转的场景。本研究中，我们对比了两种情况下的重建算法：其一，复值波的二维图像已知；其二，仅能测量这些图像的强度（绝对值），这是许多实际装置中的情况。后者的相位恢复问题可通过一种联合求解方法解决，该方法采用带TV（全变分）正则化的混合输入输出方案。
英文摘要：
We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an irregular, time-dependent rotation under acoustical or optical forces. In this study, we compare reconstruction algorithms in case i) that two-dimensional images of the complex-valued wave are known, or ii) that only the intensity (absolute value) of these images can be measured, which is the case in many practical setups. The latter phase-retrieval problem can be solved by an all-at-once approach based utilizing a hybrid input-output scheme with TV regularization.
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