Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional x-ray diffraction (3DXRD)

2006 ◽  
Vol 45 (11) ◽  
pp. 116501 ◽  
Author(s):  
Xiaowei Fu
Keyword(s):  
Three Dimensional ◽  
Reconstruction Technique ◽  
Algebraic Reconstruction Technique ◽  
X Ray Diffraction ◽  
X Ray ◽  
Algebraic Reconstruction

A modified discrete tomography for improving the reconstruction of unknown multi-gray-level material in the `missing wedge' situation

2018 ◽  
Vol 25 (6) ◽  
pp. 1847-1859 ◽  
Author(s):  
Jianhong Liu ◽  
Zhiting Liang ◽  
Yong Guan ◽  
Wenbin Wei ◽  
Haobo Bai ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Iteration Process ◽  
Reconstruction Technique ◽  
Morphological Operations ◽  
Algebraic Reconstruction Technique ◽  
Discrete Tomography ◽  
Boundary Extraction ◽  
X Ray ◽  
Dimensional Reconstruction

Full angular rotational projections cannot always be acquired in tomographic reconstructions because of the limited space in the experimental setup, leading to the `missing wedge' situation. In this paper, a recovering `missing wedge' discrete algebraic reconstruction technique algorithm (rmwDART) has been proposed to solve the `missing wedge' problem and improve the quality of the three-dimensional reconstruction without prior knowledge of the material component's number or the material's values. By using oversegmentation, boundary extraction and mathematical morphological operations, `missing wedge' artifact areas can be located. Then, in the iteration process, by updating the located areas and regions, high-quality reconstructions can be obtained from the simulations, and the reconstructed images based on the rmwDART algorithm can be obtained from soft X-ray nano-computed tomography experiments. The results showed that there is the potential for discrete tomography.

X-ray diffraction contrast tomography: a novel technique for three-dimensional grain mapping of polycrystals. I. Direct beam case

2008 ◽  
Vol 41 (2) ◽  
pp. 302-309 ◽  
Author(s):  
Wolfgang Ludwig ◽  
Søeren Schmidt ◽  
Erik Mejdal Lauridsen ◽  
Henning Friis Poulsen
Keyword(s):  
Three Dimensional ◽  
Reconstruction Technique ◽  
X Ray Diffraction ◽  
X Ray ◽  
Direct Beam ◽  
Novel Technique ◽  
Diffraction Contrast ◽  
Orientation Space ◽  
Grain Orientations ◽  
Projection Images

The principles of a novel technique for nondestructive and simultaneous mapping of the three-dimensional grain and the absorption microstructure of a material are explained. The technique is termed X-ray diffraction contrast tomography, underlining its similarity to conventional X-ray absorption contrast tomography with which it shares a common experimental setup. The grains are imaged using the occasionally occurring diffraction contribution to the X-ray attenuation coefficient each time a grain fulfils the diffraction condition. The three-dimensional grain shapes are reconstructed from a limited number of projections using an algebraic reconstruction technique. An algorithm based on scanning orientation space and aiming at determining the corresponding crystallographic grain orientations is proposed. The potential and limitations of a first approach, based on the acquisition of the direct beam projection images only, are discussed in this first part of the paper. An extension is presented in the second part of the paper [Johnson, King, Honnicke, Marrow & Ludwig (2008).J. Appl. Cryst.41, 310–318], addressing the case of combined direct and diffracted beam acquisition.

scholarly journals poly-DART: A discrete algebraic reconstruction technique for polychromatic X-ray CT

2019 ◽  
Vol 27 (23) ◽  
pp. 33670
Author(s):  
Nathanaël Six ◽  
Jan De Beenhouwer ◽  
Jan Sijbers
Keyword(s):  
Reconstruction Technique ◽  
Algebraic Reconstruction Technique ◽  
X Ray ◽  
Algebraic Reconstruction

scholarly journals Quantitative three-dimensional nondestructive imaging of whole anaerobic ammonium-oxidizing bacteria

2019 ◽  
Author(s):  
M-W. Peng ◽  
Y. Guan ◽  
J-H. Liu ◽  
L. Chen ◽  
H. Wang ◽  
...  
Keyword(s):  
Total Variation ◽  
Nitrogen Cycle ◽  
Three Dimensional ◽  
Anammox Bacteria ◽  
Reconstruction Technique ◽  
Algebraic Reconstruction Technique ◽  
X Ray ◽  
Shape Adaptation ◽  
Global Nitrogen Cycle ◽  
Simultaneous Algebraic Reconstruction Technique

AbstractAnaerobic ammonium-oxidizing (anammox) bacteria play a key role in the global nitrogen cycle and the treatment of nitrogenous wastewater. These functions are closely related to the unique biophysical structure of anammox bacteria. However, the research on the biophysical ultrastructure of intact anammox bacteria is lacking. In this study, in-situ three-dimensional nondestructive ultrastructure imaging of whole anammox cell was performed using synchrotron soft X-ray nano-computed tomography and the total variation-based simultaneous algebraic reconstruction technique (TV-SART). Statistical and quantitative analyses of the ultrastructures of intact anammox bacteria were performed. The linear absorption coefficient values of the ultrastructures of anammox bacteria were calculated and the asymmetric structure of the anammox bacteria was quantified. On this basis, the shape adaptation of the anammox bacteria responses to Fe2+ were explored, and the underlying regulation mechanism of Fe2+ on anammox bacteria was explored. Furthermore, a promising method to study the biophysical properties of cells in different environments and engineering processes was proposed.Graphical AbstractStatement of SignificanceAnaerobic ammonium-oxidizing (anammox) bacteria play key role in global nitrogen cycle, and this physiological function depends on the unique morphology of anammox bacteria. In this study, synchrotron soft-X ray imaging technique coupled with simultaneous algebraic reconstruction technique with total variation (SART-TV) algorithm were performed to quantify the three-dimensional ultrastructure of the whole anammox bacteria for the first time. On this basis, the shape adaptation and mechanism of the anammox bacteria responses to Fe2+ were explored and a promising method for detecting the physiological properties of anammox bacteria was proposed.

Three-Dimensional Algebraic Reconstruction From Three Mutually Orthogonal Projections

1985 ◽  
Vol 43 ◽  
pp. 306-307
Author(s):  
Ximen Jiye ◽  
Shao Zhifeng
Keyword(s):  
Electron Microscopy ◽  
Approximate Solution ◽  
Three Dimensional ◽  
Reconstruction Technique ◽  
Algebraic Reconstruction Technique ◽  
Reconstruction Problem ◽  
Orthogonal Projections ◽  
3 Dimensional ◽  
Dimensional Reconstruction ◽  
Algebraic Reconstruction

The classic reconstruction problem is that of reconstructing a 3D object from its 2D projections /1-5/. It is also well known that the principal difficulty in solving this problem in electron microscopy is that a very large number of independent projections are normally required. Recently it has been shown /3,4/ that if we restrict our attention to binary or Boolean objects, far fewer projections are needed in order to obtain an approximate solution. 2-dimensional solutions of ID projections were demonstrated using only four views and 3-dimensional reconstruction of 2D projections were obtained by dividing the projections into identifiable slices.In the present paper, an algebraic reconstruction technique (ART) has been studied which uses three mutually orthogonal projections.

scholarly journals Three-dimensional ionospheric tomography by an improved algebraic reconstruction technique

GPS Solutions ◽  
2007 ◽  
Vol 11 (4) ◽  
pp. 251-258 ◽  
Author(s):  
Debao Wen ◽  
Yunbin Yuan ◽  
Jikun Ou ◽  
Xingliang Huo ◽  
Kefei Zhang
Keyword(s):  
Three Dimensional ◽  
Reconstruction Technique ◽  
Algebraic Reconstruction Technique ◽  
Ionospheric Tomography ◽  
Algebraic Reconstruction
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