Phase Retrieval with Application to Optical Imaging

Abstract

This review article provides a contemporary overview of phase retrieval in optical imaging, linking the relevant optical physics to the information processing methods and algorithms. Its purpose is to describe the current state of the art in this area, identify challenges, and suggest vision and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large, with applications in a variety of fields ranging from biology and chemistry to physics and engineering.

References in corpus (7)

• Bright Coherent Ultrahigh Harmonics in the keV X-Ray Regime from Mid-Infrared Femtosecond Lasers
• Structured Compressed Sensing: From Theory to Applications
• Femtosecond Diffractive Imaging with a Soft-X-ray Free-Electron Laser
• X-ray image reconstruction from a diffraction pattern alone
• A unified evaluation of iterative projection algorithms for phase retrieval
• Quantitative Imaging of Single, Unstained Viruses with Coherent X-rays
• STFT Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms

Cited by in corpus (29)

• Exploiting speckle correlations to improve the resolution of wide-field fluorescence microscopy
• STFT Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms
• Sparse Phase Retrieval from Short-Time Fourier Measurements
• Iterative phase retrieval in coherent diffractive imaging: practical issues
• DOLPHIn - Dictionary Learning for Phase Retrieval
• Low Rank Phase Retrieval
• The importance of better models in stochastic optimization
• Recent Advances in Imaging Around Corners
• Undersampled Phase Retrieval with Outliers
• Solving (most) of a set of quadratic equalities: Composite optimization for robust phase retrieval
• An inverse acoustic-elastic interaction problem with phased or phaseless far-field data
• Phase-Retrieved Tomography enables imaging of a Tumor Spheroid in Mesoscopy Regime
• Stochastic Methods for Composite and Weakly Convex Optimization Problems
• Proximal Heterogeneous Block Input-Output Method and application to Blind Ptychographic Diffraction Imaging
• Solving large-scale general phase retrieval problems via a sequence of convex relaxations
• Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow
• Random phaseless sampling for causal signals in shift-invariant spaces: a zero distribution perspective
• Reconstruction of signals from their autocorrelation and cross-correlation vectors, with applications to phase retrieval and blind channel estimation
• Coordinate Descent Algorithms for Phase Retrieval
• Ptychographic reconstruction with wavefront initialization
• Optimization of phase retrieval in the Fresnel domain by the modified Gerchberg-Saxton algorithm
• Multiple Illumination Phaseless Super-Resolution (MIPS) with Applications To Phaseless DOA Estimation and Diffraction Imaging
• Understanding Notions of Stationarity in Non-Smooth Optimization
• Optical diffraction from isolated nanoparticles
• signProx: One-Bit Proximal Algorithm for Nonconvex Stochastic Optimization
• A note on powers of the characteristic function
• Multifrequency interferometric imaging with intensity-only measurements
• FROG-measurement based phase retrieval for analytic signals
• Stability Limits and Surface Chemistry of Ag Nanoparticles in Non-Adsorbing Electrolytes Probed by Bragg Coherent Diffractive Imaging