Phase retrieval: From computational imaging to machine learning: A tutorial

J Dong, L Valzania, A Maillard, T Pham… - IEEE Signal …, 2023 - ieeexplore.ieee.org
Phase retrieval consists in the recovery of a complex-valued signal from intensity-only
measurements. As it pervades a broad variety of applications, many researchers have …

Construction of optimal spectral methods in phase retrieval

A Maillard, F Krzakala, YM Lu… - … and Scientific Machine …, 2022 - proceedings.mlr.press
We consider the\emph {phase retrieval} problem, in which the observer wishes to recover a
$ n $-dimensional real or complex signal $\bX^\star $ from the (possibly noisy) observation …

Flyscan terahertz multi-plane lensless imaging with suppressed coherent noise

Q Yan, W Kong, G Li, C Chen, M He, P Gao, X Zhou… - Optics …, 2025 - opg.optica.org
Coherent lensless imaging usually suffers from coherent noise and twin-image artifacts. In
the terahertz (THz) range, where wavelengths are 2 to 4 orders of magnitude longer than …

Total least squares phase retrieval

S Gupta, I Dokmanić - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
We address the phase retrieval problem with errors in the sensing vectors. A number of
recent methods for phase retrieval are based on least squares (LS) formulations which …

Ptychography-based high-throughput lensless on-chip microscopy via incremental proximal algorithms

Y Huang, S Jiang, R Wang, P Song, J Zhang… - Optics …, 2021 - opg.optica.org
Ptychography-based lensless on-chip microscopy enables high-throughput imaging by
retrieving the missing phase information from intensity measurements. Numerous …

Structured Random Model for Fast and Robust Phase Retrieval

Z Hu, J Tachella, M Unser, J Dong - arxiv preprint arxiv:2409.05734, 2024 - arxiv.org
Phase retrieval, a nonlinear problem prevalent in imaging applications, has been
extensively studied using random models, some of which with iid sensing matrix …

Ptychographic reconstruction with object initialization

F Wittwer, D Brückner, P Modregger - Optics Express, 2022 - opg.optica.org
X-ray ptychography is a cutting edge imaging technique providing ultra-high spatial
resolutions. In ptychography, phase retrieval, ie, the recovery of a complex valued signal …

Parallel Fourier ptychographic microscopy reconstruction method based on FPGA

H Zhao, W Hui, Q Ye, K Huang, Q Shi, J Tian… - Optics …, 2023 - opg.optica.org
Fourier ptychographic microscopy (FPM) can bypass the limitation of spatial bandwidth
product to get images with large field-of-view and high resolution. The complicated …

Stochastic Vector Approximate Message Passing with applications to phase retrieval

H Ueda, S Katakami, M Okada - arxiv preprint arxiv:2408.17102, 2024 - arxiv.org
Phase retrieval refers to the problem of recovering a high-dimensional vector $\boldsymbol
{x}\in\mathbb {C}^ N $ from the magnitude of its linear transform $\boldsymbol {z} …

High-performance heterogeneous FPGA data-flow architecture for Fourier ptychographic microscopy

H Zhao, W Hui, Q Ye, K Huang, Q Shi, J Tian… - Applied Optics, 2022 - opg.optica.org
Fourier ptychographic microscopy (FPM) is a recently developed computational imaging
technique that can achieve both high-resolution and a wide field-of-view via a sequence of …