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Open AccessJournal ArticleDOI

Phase-and-amplitude recovery from a single phase contrast image using partially spatially coherent X-ray radiation.

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TLDR
In this paper, a simple phase and amplitude extraction method was derived that inherently corrects for image blurring induced by partially spatially coherent incident illumination using only a single intensity image as input.
Abstract
A simple method of phase-and-amplitude extraction is derived that inherently corrects for image blurring induced by partially spatially coherent incident illumination using only a single intensity image as input. The method is based on Fresnel diffraction theory for the case of high Fresnel number, merged with the space-frequency description formalism used to quantify partially coherent fields and assumes the object under study is composed of a single material. A priori knowledge of the complex refractive index and information obtained by characterizing the spatial coherence of the source is required. The algorithm was applied to propagation-based phase contrast data measured with a laboratory-based micro-focus X-ray source. The blurring due to the finite spatial extent of the source is embedded within the algorithm as a simple correction term and is also numerically stable in the presence of noise.

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Citations
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Journal ArticleDOI

X-ray Fokker–Planck equation for paraxial imaging

TL;DR: In this paper, the Fokker-Planck equation is used to model the evolution of the intensity of a paraxial x-ray wave field with propagation, which is a natural generalisation of the transport-of-intensity equation.
Book ChapterDOI

X-ray phase-contrast imaging: a broad overview of some fundamentals

TL;DR: The basic notions of X-ray imaging are introduced, including the vacuum wave equations and the physical meaning of the intensity and phase of complex scalar fields, and the projection approximation is introduced, together with the concepts of attenuation contrast and phase contrast.
Journal ArticleDOI

Exploring phase contrast imaging with a laser-based K α x-ray source up to relativistic laser intensity

TL;DR: This study explores the ability of a hard Kα x-ray source produced by a 10 TW class laser system operated at high temporal contrast ratio and high repetition rate for phase contrast imaging to bring out attractive imaging strategies by selecting suitable laser intensity for optimizing either high spatial resolution and high quality of image or short acquisition time.
Journal ArticleDOI

Model-Based Iterative Reconstruction for Propagation-Based Phase-Contrast X-Ray CT including Models for the Source and the Detector

TL;DR: A previously developed iterative reconstruction algorithm for this imaging technique is extended to include models for the reduced spatial coherence and the signal spreading of efficient scintillator-based detectors directly into the physical forward model, and the modeling of the covariance statistics reduces overshoots at the sample edges significantly.
Journal ArticleDOI

Spectral x-ray imaging: Conditions under which propagation-based phase-contrast is beneficial.

TL;DR: The results suggest that the benefits of phase-contrast in the context of material decomposition are primarily restricted toX-ray energies under a certain threshold, where that threshold depends on the given material combination, and sits in a region where photoelectric absorption dominates X-ray attenuation.
References
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Journal Article

A practical algorithm for the determination of phase from image and diffraction plane pictures

R. W. Gerchberg
- 01 Jan 1972 - 
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Journal ArticleDOI

A new microscopic principle.

Dennis Gabor
- 01 May 1948 - 
TL;DR: An improvement of the resolution by one decimal wotild require a correction of the objective to four decimals, a practically hopeless task.
Journal ArticleDOI

Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources

TL;DR: In this article, a setup consisting of three transmission gratings can efficiently yield quantitative differential phase-contrast images with conventional X-ray tubes, which can be scaled up to large fields of view.
Journal ArticleDOI

Phase-contrast imaging using polychromatic hard X-rays

TL;DR: In this paper, a simplified scheme for phase-contrast imaging based on an X-ray source having high spatial (but essentially no chromatic) coherence is presented. But the method is not suitable for large areas of irradiation, and it can operate with a lower absorbed dose than traditional Xray imaging techniques, and should find broad application in clinical, biological and industrial settings.
Journal ArticleDOI

Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object

TL;DR: This work demonstrates simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object and solves the twin‐image problem of in‐line holography and is capable of analysing data obtained using X‐ray microscope, electron microscopy, neutron microscopy or visible‐light microscopy.
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