# 3D reconstruction of the magnetic vector potential using model based iterative reconstruction.

@article{Prabhat20173DRO, title={3D reconstruction of the magnetic vector potential using model based iterative reconstruction.}, author={Kumar Chandra Prabhat and K. Aditya Mohan and Charudatta M Phatak and Charles A. Bouman and Marc De Graef}, journal={Ultramicroscopy}, year={2017}, volume={182}, pages={ 131-144 } }

## 11 Citations

### Model-Based Iterative Reconstruction of Magnetization Using Vector Field Electron Tomography

- MathematicsIEEE Transactions on Computational Imaging
- 2018

This work presents a model-based iterative reconstruction algorithm (MBIR) that reconstructs the magnetization by minimizing a cost function consisting of a forward model term and a prior model term to minimize the resulting MBIR cost function.

### 3D reconstruction of magnetization from dichroic soft X-ray transmission tomography.

- PhysicsJournal of synchrotron radiation
- 2018

A new iterative tomographic reconstruction method to extract the three-dimensional magnetization configuration from tomographic projections is presented, using a modified algebraic reconstruction approach based on solving a set of linear equations in an iterative manner.

### Lorentz Transmission Electron Microscopy Image Simulations of Experimental Nano-Chessboard Observations in Co-Pt Alloys

- Physics, Materials ScienceMicroscopy and Microanalysis
- 2018

High-resolution LTEM images of nano-size magnetic features acquired through spherical aberration correction in Lorentz Fresnel mode are shown, indicating a circular magnetization distribution with vortex and anti-vortex type arrangement is evident in the phase reconstructed magnetic induction maps as well as simulated maps.

### Propagation based phase retrieval of simulated intensity measurements using artificial neural networks

- Physics
- 2018

Determining the phase of a wave from intensity measurements has many applications in fields such as electron microscopy, visible light optics, and medical imaging. Propagation based phase retrieval,…

### Magnetic Field Mapping using Off-Axis Electron Holography in the Transmission Electron Microscope.

- PhysicsJournal of visualized experiments : JoVE
- 2020

The protocol that is presented here describes the practical steps that are required to record, analyze, and interpret off-axis electron holograms, with a primary focus on the measurement of magnetic fields within and around nanoscale materials and devices.

### Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction

- MathematicsIEEE Transactions on Image Processing
- 2019

A generalized cross-validation approach to estimate the reconstruction filter bandwidth in 2D filtered backprojection with superior performance holds at both low and high total expected counts, pointing to the method’s applicability even in weak signal-to-noise-ratio situations.

### Managing the Mosaic of Microstructure

- Materials Science
- 2019

Using new signal processing algorithms solidification structures from dendrites to irregular eutectic growth structures are investigated. The combination of state-of-the-art algorithms and high…

### Launching a new dimension with 3D magnetic nanostructures

- Materials ScienceAPL Materials
- 2020

The scientific and technological exploration of three-dimensional magnetic nanostructures is an emerging research field that opens the path to exciting novel physical phenomena, originating from the…

### A Heterogeneity Radiomic Nomogram for Preoperative Differentiation of Primary Gastric Lymphoma From Borrmann Type IV Gastric Cancer.

- MedicineJournal of computer assisted tomography
- 2020

The proposed heterogeneity radiomic nomogram on contrast-enhanced computed tomographic images may help differentiate primary gastric lymphoma from Borrmann type IV gastric cancer preoperatively.

### The road to 3-dim nanomagnetism: Steep curves and architectured crosswalks

- Journal of Magnetism and Magnetic Materials
- 2022

## 35 References

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- Materials Science
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Vector-field electron tomography (VFET) reconstructs electromagnetic vector fields of magnetic nanomaterials using transmission electron microscopy. The theory behind this reconstruction process is…

### A Model Based Iterative Reconstruction Algorithm For High Angle Annular Dark Field-Scanning Transmission Electron Microscope (HAADF-STEM) Tomography

- MathematicsIEEE Transactions on Image Processing
- 2013

This paper combines a model for image formation in HAADF-STEM tomography along with a prior model to formulate the tomographic reconstruction as a maximum a posteriori probability (MAP) estimation problem, and adapt the iterative coordinate descent algorithm to develop an efficient method to minimize the corresponding MAP cost function.

### Vector field electron tomography of magnetic materials: theoretical development.

- Physics, MathematicsUltramicroscopy
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### Electron tomography image reconstruction using data-driven adaptive compressed sensing.

- Computer ScienceScanning
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A new image reconstruction algorithm for ET is proposed that learns the sparsifying transform adaptively using a dictionary-based approach and reconstructs the morphology with higher fidelity than either analytically based CS reconstruction algorithms or traditional weighted back projection from the same dataset.

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This work proposes a new approach to statistically optimal image reconstruction based on direct optimization of the MAP criterion, which requires approximately the same amount of computation per iteration as EM-based approaches, but the new method converges much more rapidly.

### Three-dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms.

- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 1971

Tests of the convolution method with computer-simulated shadowgraphs show that it is also more accurate than the Fourier transform method, and has good potentialities for application in electron microscopy and x-radiography.

### Newton-style optimization for emission tomographic estimation

- MathematicsJ. Electronic Imaging
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Quantitative comparisons between the two models are presented and it is shown that a judiciously chosen quadratic, as part of a short series of Newton-style steps, yields reconstructions nearly indistinguish- able from those under the exact Poisson model.

### Fast Model-Based X-Ray CT Reconstruction Using Spatially Nonhomogeneous ICD Optimization

- PhysicsIEEE Transactions on Image Processing
- 2011

A fast model-based iterative reconstruction algorithm using spatially nonhomogeneous ICD (NH-ICD) optimization that accelerates the reconstructions by roughly a factor of three on average for typical 3-D multislice geometries is presented.

### Principles of computerized tomographic imaging

- MedicineClassics in applied mathematics
- 2001

Properties of Computerized Tomographic Imaging provides a tutorial overview of topics in tomographic imaging covering mathematical principles and theory and how to apply the theory to problems in medical imaging and other fields.