论文标题
盲型Ptychography的图像恢复
Image Recovery for Blind Polychromatic Ptychography
论文作者
论文摘要
PtyChography是一种无透镜成像技术，它考虑了通过照亮样品的小重叠区获得的一组远场衍射模式的重建。在许多情况下，在照明区域内的光分布尚不清楚，必须与感兴趣的对象一起估算。这个问题称为盲目的pychography。尽管在Ptychography中，通常假定照明具有点频谱，但在本文中，我们考虑了一种替代场景，具有非平凡的光谱，称为盲型多色Ptychrotic Ptychography。 首先，我们表明，非盲型Ptychography可以看作是从二次测量中恢复的。然后，可以通过振幅流量算法的变体执行此类测量结果的重建，该变量已确保均方根收敛到临界点。其次，我们通过设计振幅流量的交替最小化版本，并表明它以延纹速率收敛到临界点，从而解决了从盲型多色Ptychographic测量结果的回收。 关键字：Ptychography，相位检索，盲，交替的最小化，梯度下降。
Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the specimen. In many cases, a distribution of light inside the illuminated region is unknown and has to be estimated along with the object of interest. This problem is referred to as blind ptychography. While in ptychography the illumination is commonly assumed to have a point spectrum, in this paper we consider an alternative scenario with non-trivial light spectrum known as blind polychromatic ptychography. Firstly, we show that non-blind polychromatic ptychography can be seen as a recovery from quadratic measurements. Then, a reconstruction from such measurements can be performed by a variant of Amplitude Flow algorithm, which has guaranteed sublinear convergence to a critical point. Secondly, we address recovery from blind polychromatic ptychographic measurements by devising an alternating minimization version of Amplitude Flow and showing that it converges to a critical point at a sublinear rate. Keywords: ptychography, phase retrieval, blind, alternating minimization, gradient descent.
