Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images

  title={Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images},
  author={Robert Hovden and Yi Jiang and Huolin L. Xin and Lena F. Kourkoutis},
  journal={Microscopy and Microanalysis},
  pages={436 - 441}
Abstract The discrete Fourier transform is among the most routine tools used in high-resolution scanning/transmission electron microscopy (S/TEM). However, when calculating a Fourier transform, periodic boundary conditions are imposed and sharp discontinuities between the edges of an image cause a cross patterned artifact along the reciprocal space axes. This artifact can interfere with the analysis of reciprocal lattice peaks of an atomic resolution image. Here we demonstrate that the recently… 
2D Discrete Fourier Transform with simultaneous edge artifact removal for real-time applications
A periodic-plus-smooth decomposition based artifact removal algorithm optimized for FPGA implementation, while still achieving real-time performance for a 512×512 size image stream and avoiding memory conflicts and simplifies the design.
Algorithm and Architecture Optimization for 2D Discrete Fourier Transforms with Simultaneous Edge Artifact Removal
A novel FPGA-based solution to calculate 2D DFTs with simultaneous edge artifact removal for high-performance applications and proposes a “tile-hopping” memory mapping scheme that significantly improves the bandwidth of the external memory for column-wise reads and can reduce the energy consumption up to 53%.
HAADF-STEM Image Resolution Enhancement Using High-Quality Image Reconstruction Techniques: Case of the Fe3O4(111) Surface
This work generates interpolated images using averaging and SR, and reconstructed the atomic structure of the very top surface layer that consists of a full monolayer of Fe, with topmost Fe atoms in tetrahedrally coordinated sites.
Reliability of ptychography on periodic structures
It will be shown, that the reconstructed illumination function is very sensitive to map distortions and small defects in otherwise periodic objects allowing to decide whether the reconstructed object is reliable or not.
Deep sub-Ångstrom imaging of 2D materials with a high dynamic range detector
Aberration-corrected optics have made electron microscopy at atomic-resolution a widespread and often essential tool for nanocharacterization. Image resolution is dominated by beam energy and the
Electron ptychography of 2D materials to deep sub-ångström resolution
This ptychographic reconstruction improves the image contrast of single-atom defects in MoS2 substantially, reaching an information limit close to 5α, which corresponds to an Abbe diffraction-limited resolution of 0.39 ångström.
Quantification of collagen fiber structure using second harmonic generation imaging and two‐dimensional discrete Fourier transform analysis: Application to the human optic nerve head
A two-dimensional discrete Fourier transform (DFT)-based method for collagen fiber structure analysis from SHG images is presented, showing its capability to accurately capture characteristic structural features including radial fiber alignment in the innermost layers of the bounding sclera and a circumferential collagen ring in the mid-stromal tissue.
Accurate lattice parameters from 2D-periodic images for subsequent Bravais lattice type assignments
The lattice parameter extraction results are an illustration of Kenichi Kanatani’s dictum that no extraction algorithm for geometric features from images leads to definitive results because they are all aiming at an intrinsically impossible task in all real-world applications.
Thickness and Stacking Sequence Determination of Exfoliated Dichalcogenides (1T-TaS2, 2H-MoS2) Using Scanning Transmission Electron Microscopy
The crystal thickness can be determined from CBED in exfoliated 1T-TaS2 and 2H-MoS2 to within a single layer for ultrathin ≲9 layers and ±1 atomic layer (or better) in thicker specimens while also revealing information about stacking order—even when the crystal structure is unresolved in real space.


Periodic Plus Smooth Image Decomposition
  • L. Moisan
  • Computer Science, Mathematics
    Journal of Mathematical Imaging and Vision
  • 2010
This paper shows that an image can be decomposed into a sum of a “periodic component” and a ‘smooth component’, which brings a simple and computationally efficient answer to this problem.
Correcting scanning instabilities from images of periodic structures.
An accurate discrete Fourier transform for image processing
The method presented in this contribution provides accurate approximations of the continuous Fourier transform with similar time complexity and allows to compute numerical Fourier transforms in a broader domain of frequency than the usual half-period of the DFT.
Imaging individual atoms inside crystals with ADF-STEM.
Identifying and Correcting Scan Noise and Drift in the Scanning Transmission Electron Microscope
From this analysis a piece of image reconstruction code has been developed that can restore the majority of the effects of these detrimental image distortions for atomic-resolution data.
The present and future of high‐resolution electron microscopy
High-resolution electron microscopy, with the current resolution limits of better than 2 A, has been proven to be a valuable technique for the study of radiation-resistant crystals, allowing the
Scanning transmission electron microscopy at high resolution.
It is shown that a scanning transmission electron microscope with a high brightness field emission source is capable of obtaining better than 3 A resolution using 30 to 40 keV electrons, and adequate contrast is available to observe single atoms as light as silver.
Picometre-precision analysis of scanning transmission electron microscopy images of platinum nanocatalysts.
Sub-picometre precision and standardless atom counting with <1 atom uncertainty in the same scanning transmission electron microscopy image provide new insight into the three-dimensional atomic structure of catalyst nanoparticle surfaces, which contain the active sites controlling catalytic reactions.