A unified evaluation of iterative projection algorithms for phase retrieval
arXiv:physics/0603201 · doi:10.1063/1.2403783
Abstract
Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free diffraction-limited imaging and the possibility of using radiation for which no lenses exist. The challenge of this imaging technique is transfered from the lenses to the algorithms. We evaluate these new computational ``instruments'' developed for the phase retrieval problem, and discuss acceleration strategies.
12 pages, 9 figures, revtex
References in corpus (5)
- Femtosecond Diffractive Imaging with a Soft-X-ray Free-Electron Laser
- X-ray image reconstruction from a diffraction pattern alone
- High-resolution ab initio three-dimensional X-ray diffraction microscopy
- Relaxed Averaged Alternating Reflections for Diffraction Imaging
- SPEDEN: Reconstructing single particles from their diffraction patterns
Cited by in corpus (86)
- Phase recovery and holographic image reconstruction using deep learning in neural networks
- Phase Retrieval via Wirtinger Flow: Theory and Algorithms
- Coherent methods in the X-ray sciences
- Experimental robustness of Fourier Ptychography phase retrieval algorithms
- Ultrafast, ultrabright, X-ray holography using a uniformly-redundant array
- Oversampling smoothness (OSS): an effective algorithm for phase retrieval of noisy diffraction intensities
- SHARP: a distributed, GPU-based ptychographic solver
- Ultra-broadband extreme-ultraviolet lensless imaging of extended complex structures
- Fourier Imager Network (FIN): A deep neural network for hologram reconstruction with superior external generalization
- Three-dimensional coherent X-ray diffraction imaging of a ceramic nanofoam: determination of structural deformation mechanisms
- The Numerics of Phase Retrieval
- Phase Retrieval with Application to Optical Imaging
- PyNX: high performance computing toolkit for coherent X-ray imaging based on operators
- Holographic image reconstruction with phase recovery and autofocusing using recurrent neural networks
- In situ coherent diffractive imaging
- Using Automatic Differentiation as a General Framework for Ptychographic Reconstruction
- Quantum Phase Extraction in Isospectral Electronic Nanostructures
- Inversion of the Diffraction Pattern from an Inhomogeneously Strained Crystal using an Iterative Algorithm
- DOLPHIn - Dictionary Learning for Phase Retrieval
- Absolute Uniqueness of Phase Retrieval with Random Illumination
- Phase Retrieval with Random Phase Illumination
- Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers
- Three-dimensional Coherent X-ray Diffraction Imaging via Deep Convolutional Neural Networks
- Rapid Phase Retrieval by Lasing
- Regularized Newton Methods for X-ray Phase Contrast and General Imaging Problems
- Adorym: A multi-platform generic x-ray image reconstruction framework based on automatic differentiation
- Adaptive 3D convolutional neural network-based reconstruction method for 3D coherent diffraction imaging
- Holographic Phase Retrieval and Reference Design
- Computational studies of x-ray scattering from three-dimensionally-aligned asymmetric-top molecules
- Free log-likelihood as an unbiased metric for coherent diffraction imaging
- Undersampled Phase Retrieval with Outliers
- Intensity interferometry for observation of dark objects
- Revealing three-dimensional structure of individual colloidal crystal grain by coherent x-ray diffractive imaging
- Efficient orbital imaging based on ultrafast momentum microscopy and sparsity-driven phase retrieval
- Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging
- A semi-implicit relaxed Douglas-Rachford algorithm (sir-DR) for Ptychograhpy
- Local Linear Convergence of Approximate Projections onto Regularized Sets
- Improved success rate and stability for phase retrieval by including randomized overrelaxation in the hybrid input output algorithm
- Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies
- Diffractive shear interferometry for extreme ultraviolet high-resolution lensless imaging
- eFIN: Enhanced Fourier Imager Network for generalizable autofocusing and pixel super-resolution in holographic imaging
- Facing the phase problem in Coherent Diffractive Imaging via Memetic Algorithms
- Intensity-only measurement of partially uncontrollable transmission matrix: demonstration with wave-field shaping in a microwave cavity
- Water Window Ptychographic Imaging with Characterized Coherent X-rays
- Orientation Determination in Single Particle X-ray Coherent Diffraction Imaging Experiments
- Phase retrieval for Bragg coherent diffraction imaging at high X-ray energies
- Generalized Proximal Smoothing for Phase Retrieval
- Effective Non-Iterative Phase Retrieval of 2-D Bandlimited Signals with Applications to Antenna Characterization and Diagnostics
- Reflector Antennas Characterization and Diagnostics using a Single Set of Far Field Phaseless Data and Crosswords-like Processing
- High-energy coherent X-ray diffraction microscopy of polycrystal grains: first steps towards a multi-scale approach
- An algorithm for Bragg coherent X-ray diffractive imaging of highly strained nanocrystals
- Ab initio compressive phase retrieval
- Chrono CDI: Coherent diffractive imaging of time-evolving samples
- Beyond Griffin-Lim: Improved Iterative Phase Retrieval for Speech
- Robust phase retrieval with the swept approximate message passing (prSAMP) algorithm
- Denoising Poisson Phaseless Measurements via Orthogonal Dictionary Learning
- On Relaxed Averaged Alternating Reflections (RAAR) Algorithm for Phase Retrieval from Structured Illuminations
- Phase retrieval of an electron vortex beam using diffraction holography
- Condensate Phase Microscopy
- Matter wave coupling of spatially separated and unequally pumped polariton condensates
- Well conditioned ptychograpic imaging via lost subspace completion
- Three-Dimensional Coherent Diffractive Imaging of Isolated Faceted Nanostructures
- The Scatman: an approximate method for fast wide-angle scattering simulations
- Melting, bubble-like expansion and explosion of superheated plasmonic nanoparticles
- X-ray holography of skyrmionic cocoons in aperiodic magnetic multilayers
- A Complex Constrained Total Variation Image Denoising Algorithm with Application to Phase Retrieval
- Fast phase retrieval for high dimensions: A block-based approach
- Time-spliced X-ray Diffraction Imaging
- Three Dimensional Imaging using Coherent X-Rays at Grazing Incidence Geometry
- On phase retrieval via matrix completion and the estimation of low rank PSD matrices
- A Bayesian approach for energy-based estimation of acoustic aberrations in high intensity focused ultrasound treatment
- Determination of Chern numbers with a phase retrieval algorithm
- Using Convex Optimization of Autocorrelation with Constrained Support and Windowing for Improved Phase Retrieval Accuracy
- Fast Phase Retrieval from Local Correlation Measurements
- A minimalist approach to 3D photoemission orbital tomography: algorithms and data requirements
- Complex Acquisition of the Fourier Transform Imaging of an Arbitrary Object
- SPRING: an effective and reliable framework for image reconstruction in single-particle Coherent Diffraction Imaging
- Hybrid real- and reciprocal-space full-field imaging with coherent illumination
- Multi-wavelength coherent diffractive imaging
- On inverse problem with phase retrieval for an inclined line in the parabolic approximation
- Phase Retrieval of Vortices in Bose-Einstein Condensates
- Retrieval of missing small-angle scattering data in gas-phase diffraction experiments
- 3D tomographic imaging of skyrmionic cocoons using HERALDO
- Overlapping Domain Decomposition Methods for Ptychographic Imaging
- Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift
- Structural Study of a Self-Assembled Gold Mesocrystal Grain by Coherent X-ray Diffraction Imaging