X-ray image reconstruction from a diffraction pattern alone
arXiv:physics/0306174 · doi:10.1103/PhysRevB.68.140101
Abstract
A solution to the inversion problem of scattering would offer aberration-free diffraction-limited 3D images without the resolution and depth-of-field limitations of lens-based tomographic systems. Powerful algorithms are increasingly being used to act as lenses to form such images. Current image reconstruction methods, however, require the knowledge of the shape of the object and the low spatial frequencies unavoidably lost in experiments. Diffractive imaging has thus previously been used to increase the resolution of images obtained by other means. We demonstrate experimentally here a new inversion method, which reconstructs the image of the object without the need for any such prior knowledge.
5 pages, 3 figures, improved figures and captions, changed title
Cited by in corpus (97)
- Femtosecond Diffractive Imaging with a Soft-X-ray Free-Electron Laser
- High-resolution ab initio three-dimensional X-ray diffraction microscopy
- A unified evaluation of iterative projection algorithms for phase retrieval
- An assessment of the resolution limitation due to radiation-damage in x-ray diffraction microscopy
- Coherent methods in the X-ray sciences
- Quantitative phase imaging via Fourier ptychographic microscopy
- Sub-wavelength coherent imaging of periodic samples using a 13.5 nm tabletop high harmonic light source
- Quantitative Imaging of Single, Unstained Viruses with Coherent X-rays
- 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
- Real-time coherent diffraction inversion using deep generative networks
- Alternating Projection, Ptychographic Imaging and Phase Synchronization
- Three-dimensional coherent X-ray diffraction imaging of a ceramic nanofoam: determination of structural deformation mechanisms
- Phase Retrieval with Application to Optical Imaging
- PyNX: high performance computing toolkit for coherent X-ray imaging based on operators
- Iterative phase retrieval in coherent diffractive imaging: practical issues
- Analysis of strain and stacking faults in single nanowires using Bragg coherent diffraction imaging
- When holography meets coherent diffraction imaging
- Phase retrieval and saddle-point optimization
- Inversion of the Diffraction Pattern from an Inhomogeneously Strained Crystal using an Iterative Algorithm
- Femtosecond X-ray Fourier holography imaging of free-flying nanoparticles
- Imaging the Breathing of a Platinum Nanoparticle in Electrochemical Environment
- Three-Dimensional Shapes of Spinning Helium Nanodroplets
- Three-dimensional Coherent X-ray Diffraction Imaging via Deep Convolutional Neural Networks
- Ultrafast high-harmonic nanoscopy of magnetization dynamics
- Rapid Phase Retrieval by Lasing
- Real-time 3D Nanoscale Coherent Imaging via Physics-aware Deep Learning
- Accurate phase retrieval of complex point spread functions with deep residual neural networks
- Nano-scale imaging of the full strain tensor of specific dislocations extracted from a bulk sample
- High Speed and High Resolution Table-Top Nanoscale Imaging
- Adorym: A multi-platform generic x-ray image reconstruction framework based on automatic differentiation
- Three dimensions, two microscopes, one code: automatic differentiation for x-ray nanotomography beyond the depth of focus limit
- Computational studies of x-ray scattering from three-dimensionally-aligned asymmetric-top molecules
- Free log-likelihood as an unbiased metric for coherent diffraction imaging
- 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
- Coherent Diffraction Imaging of Single 95nm Nanowires
- Selective coherent x-ray diffractive imaging of displacement fields in (Ga,Mn)As/GaAs periodical wires
- A uniqueness result for propagation-based phase contrast imaging from a single measurement
- Single-frame far-field diffractive imaging with randomized illumination
- Three-dimensional structure of a single colloidal crystal grain studied by coherent x-ray diffraction
- Application of iterative phase-retrieval algorithms to ARPES orbital tomography
- Coherent microscopy at resolution beyond diffraction limit using post-experimental data extrapolation
- Diffractive shear interferometry for extreme ultraviolet high-resolution lensless imaging
- Three-dimensional coherent Bragg imaging of rotating nanoparticles
- Retrieval of the atomic displacements in the crystal from the coherent x-ray diffraction pattern
- Facing the phase problem in Coherent Diffractive Imaging via Memetic Algorithms
- Broadband holography-assisted coherent imaging -- towards attosecond imaging at the nanoscale
- Phase retrieval for Bragg coherent diffraction imaging at high X-ray energies
- Algorithms and image formation in orbital tomography
- Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging
- Imaging outside the box: Resolution enhancement in X-ray coherent diffraction imaging by extrapolation of diffraction patterns
- An algorithm for Bragg coherent X-ray diffractive imaging of highly strained nanocrystals
- High-energy coherent X-ray diffraction microscopy of polycrystal grains: first steps towards a multi-scale approach
- Chrono CDI: Coherent diffractive imaging of time-evolving samples
- Ab initio compressive phase retrieval
- Three-dimensional double helical DNA structure directly revealed from its X-ray fiber diffraction pattern by iterative phase retrieval
- Three-dimensional structure from single two-dimensional diffraction intensity measurement
- Mapping data between sample and detector conjugated spaces in Bragg coherent diffraction imaging
- Denoising Poisson Phaseless Measurements via Orthogonal Dictionary Learning
- Annealing of focused ion beam damage in gold microcrystals: An in situ Bragg coherent X-ray diffraction imaging study
- Reconstruction of nanoscale particles from single-shot wide-angle FEL diffractions patterns with physics-informed neural networks
- A two-step method for retrieving the longitudinal profile of an electron bunch from its coherent radiation
- Three-Dimensional Coherent Diffractive Imaging of Isolated Faceted Nanostructures
- Direct Imaging of Hydrogen-Driven Dislocation and Strain Field Evolution in a Stainless Steel Grain
- Melting, bubble-like expansion and explosion of superheated plasmonic nanoparticles
- Reference-enhanced X-ray Single Particle Imaging
- Refinements for Bragg coherent X-ray diffraction imaging: Electron backscatter diffraction alignment and strain field computation
- Robust phase retrieval with complexity-guidance for coherent X-ray imaging
- A general framework for denoising phaseless diffraction measurements
- X-ray coherent diffraction imaging with an objective lens: towards 3D mapping of thick polycrystals
- Resolution enhancement by extrapolation of coherent diffraction images: A quantitative study on the limits and a numerical study of non-binary and phase objects
- Regularized Newton methods for simultaneous Radon inversion and phase retrieval in phase contrast tomography
- Three Dimensional Imaging using Coherent X-Rays at Grazing Incidence Geometry
- Multislice forward modeling of Coherent Surface Scattering Imaging on surface and interfacial structures
- Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction
- Low temperature state in strontium titanate microcrystals using in situ multi-reflection Bragg coherent X-ray diffraction imaging
- Using Convex Optimization of Autocorrelation with Constrained Support and Windowing for Improved Phase Retrieval Accuracy
- A minimalist approach to 3D photoemission orbital tomography: algorithms and data requirements
- SPRING: an effective and reliable framework for image reconstruction in single-particle Coherent Diffraction Imaging
- Unveiling Nano-scale Crystal Deformation using Coherent X-ray Dynamical Diffraction
- Anisotropy of Antiferromagnetic Domains in a Spin-orbit Mott Insulator
- Phase retrieval methods applied to coherent imaging
- Scaling and Acceleration of Three-dimensional Structure Determination for Single-Particle Imaging Experiments with SpiniFEL
- Photoemission orbital tomography based on tight-binding approach: method and application to -conjugated molecules
- Bragg Coherent Modulation Imaging: Strain- and Defect- Sensitive Single Views of Extended Samples
- Single Alloy Nanoparticle X-Ray Imaging during a Catalytic Reaction
- -regularized Variational Methods for Sparse Phase Retrieval
- Phase retrieval without prior knowledge via single-shot Fraunhofer diffraction pattern of complex object
- Selection and orientation of different particles in single particle imaging
- Retrieval of missing small-angle scattering data in gas-phase diffraction experiments
- Quantum Interference in Two-Atom Resonant X-ray Scattering of an Intense Attosecond Pulse
- The structure of Tick-borne Encephalitis virus determined at X-Ray Free-Electron Lasers. Simulations
- Structural Study of a Self-Assembled Gold Mesocrystal Grain by Coherent X-ray Diffraction Imaging
- High-throughput ensemble characterization of individual core-shell nanoparticles with quantitative 3D density from XFEL single-particle imaging