论文标题
在连贯的衍射成像中恢复缺失的数据
Recovering missing data in coherent diffraction imaging
论文作者
论文摘要
在相干衍射成像（CDI）实验中，在检测器阵列上测量了撞击物体上的散射波的强度。该信号可以解释为未知散射密度的傅立叶变换模量的平方。梁停滞阻塞了向前的散射波，因此无法测量来自K = 0附近的模量傅立叶数据。在本说明中，我们描述了一种线性方法，用于从测量值中恢复未衡量的模量傅立叶数据，并估算了对图像自相关函数的支持，而无需考虑相位检索。我们分析了此问题的调理，该条件以未测量的最大空间频率的模量和噪声的影响呈指数增长。
In coherent diffraction imaging (CDI) experiments, the intensity of the scattered wave impinging on an object is measured on an array of detectors. This signal can be interpreted as the square of the modulus of the Fourier transform of the unknown scattering density. A beam-stop obstructs the forward scattered wave and, hence, the modulus Fourier data from a neighborhood of k=0 cannot be measured. In this note, we describe a linear method for recovering this unmeasured modulus Fourier data from the measured values and an estimate of the support of the image's autocorrelation function without consideration of phase retrieval. We analyze the conditioning of this problem, which grows exponentially with the modulus of the maximum spatial frequency not measured, and the effects of noise.
