Phase retrieval (PR), also sometimes referred to as quadratic sensing, is a problem that occurs in numerous signal and image acquisition domains ranging from optics, X-ray crystallography, Fourier ptychography, subdiffraction imaging, and astronomy. In each of these domains, the physics of the acquisition system dictates that only the magnitude (intensity) of certain linear projections of the signal or image can be measured. Without any assumptions on the unknown signal, accurate recovery necessarily requires an overcomplete set of measurements. The only way to reduce the measurements/sample complexity is to place extra assumptions on the unknown signal/image. A simple and practically valid set of assumptions is obtained by exploiting the structure inherently present in many natural signals or sequences of signals.

中文翻译：

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非凸结构相检索：专注于可证明正确的方法

相位检索 (PR)，有时也称为二次传感，是发生在众多信号和图像采集领域的问题，包括光学、X 射线晶体学、傅里叶光学、亚衍射成像和天文学。在这些域中的每一个域中，采集系统的物理学规定只能测量信号或图像的某些线性投影的幅度（强度）。如果不对未知信号做任何假设，准确的恢复必然需要一组过完备的测量。降低测量/样本复杂性的唯一方法是对未知信号/图像进行额外假设。通过利用许多自然信号或信号序列中固有的结构，可以获得一组简单而实际有效的假设。