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Single particle 3D reconstruction for 2D crystal images of membrane proteins

Sebastian Scherer, Marcel Arheit, Julia Kowal, Xiangyan Zeng, Henning Stahlberg
2014 Journal of Structural Biology  
The calculated 3D reconstruction shows more structural details and contains less noise than the map obtained by conventional Fourier-filtering based processing of the same 2D crystal images.  ...  3D structures of membrane proteins.  ...  Müller for insightful discussions and critically reading of the manuscript. We thank  ... 
doi:10.1016/j.jsb.2013.12.011 pmid:24382495 fatcat:k5hrducdunh4zf4tgk4lfs24uu

3D reconstruction of 2D crystals from projections in real space

R. Marabini, G.T. Herman, C.O.S. Sorzano, J.M. Carazo, J.J. Fernandez, S. Matej
Proceedings IEEE International Symposium on Biomedical Imaging  
A new algorithm for 3D reconstruction of twodimensional crystals from projections is presented, and applied to biological macromolecules imaged using electron microscopy.  ...  This approach has the advantage of making it convenient to introduce additional constraints (such as the support of the function to be reconstructed, which may be known from alternative measurements) and  ...  work an iterative method for performing threedimensional reconstruction of 2D crystals in real space is proposed.  ... 
doi:10.1109/isbi.2002.1029351 dblp:conf/isbi/MarabiniHSCFM02 fatcat:v3u7gevpvfbwdfj7swmt3uzobe

Development of a stereo imaging system for three-dimensional shape measurement of crystals

Cai Y. Ma, Jing J. Liu, Tao Liu, Xue Z. Wang
2015 2015 American Control Conference (ACC)  
The idea of using two synchronized cameras to obtain 3D crystal shape was mentioned previously (Chem Eng Sci 63(5) 1171-1184, 2008) but no quantitative results were reported.  ...  It is based on the mathematical principle that if the two-dimensional images of an object are obtained from two different angles, the full three-dimensional crystal shape can be reconstructed.  ...  Reconstruction of a crystal of L-glutamic acid alpha form: (a) original 2D images; (b) reconstructed crystal in 3D space Fig 7.  ... 
doi:10.1109/acc.2015.7172003 dblp:conf/amcc/MaLLW15 fatcat:6lotlem4wrdmdhliknntwclxva

Stereo imaging of crystal growth

Cai Y. Ma, Jing J. Liu, Xue Z. Wang
2015 AIChE Journal  
It is our belief that 3D measurement of crystal shape represents a significant step forward from existing work of 2D measurement of crystal morphology and is potentially of great significance to research  ...  It is based on the mathematical principle that if the two-dimensional images of an object are obtained from two or more different angles, the full three-dimensional crystal shape could be reconstructed  ...  LGA  crystal in 3D ; (c) 2D image pairs of a sugar crystal; (d) reconstructed 3D sugar crystal (e) 2D image pairs of a potash alum crystal; (f) a 2D image with nine faces; (g) reconstructed 3D crystal  ... 
doi:10.1002/aic.15041 fatcat:2qiiso5jvvdalekxaofzyo3yna

Real-Time Characterization of Crystal Shape and Size Distribution Based on Moving Window and 3D Imaging in a Stirred Tank

Rui Zhang, Xuezhong Wang, Yang Zhang, Tao Liu
2019 Journal of Crystallization Process and Technology  
Here attention is given to study on real-time characterization of the 3D facet growth behavior of crystals in a stirred tank where crystals are constantly moving and rotating.  ...  By reference to a case study on potash alum crystallization, it is demonstrated that the crystal size and shape distributions (CSSD) of moving and rotating potash alum crystals in the solution can be reconstructed  ...  Acknowledgements Conflicts of Interest The authors declare no conflicts of interest regarding the publication of this paper. R. Zhang et al.  ... 
doi:10.4236/jcpt.2019.92002 fatcat:prmkbiwt3zfm5oxdhei47nxkju

Liquid crystal lens for axially distributed three-dimensional sensing

Yi-Pai Huang, Chih-Wei Chen, Myungjin Cho, Bahram Javidi, Bahram Javidi, Jung-Young Son
2013 Three-Dimensional Imaging, Visualization, and Display 2013  
Therefore, multiple 2D images with slightly different perspectives by varying the focal lengths of the LC lens without mechanical movements of an image sensor can be recorded.  ...  And then the 3D images are further reconstructed according to the ray-back projection algorithm. The preliminary functionalities are also demonstrated in this paper.  ...  The functionality of the proposed HR-LC lens was demonstrated. And the reconstructed 3D slices were also generated from the recorded 2D images.  ... 
doi:10.1117/12.1518457 fatcat:xfgxjv5wvnhr3hm6osouvnpyde

Preliminary studies on the design and simulation of high resolution small animal PET scanners with octagonal geometry

J.E. Ortuno, J.J. Vaquero, G. Kontaxakis, M. Desco, A. Santos
2003 2003 IEEE Nuclear Science Symposium. Conference Record (IEEE Cat. No.03CH37515)  
Monte Carlo simulations take into account the depth of interaction in individual crystals.  ...  The probability system matrix used by these algorithms is also calculated based on statistical models and Monte Carlo simulation. 2D and 3D techniques have been employed.  ...  A detector block size of 48x48x12 mm 3 has been used in this simulation. Figure 6 shows a comparison between iterative reconstructions in 2D and 3D modes.  ... 
doi:10.1109/nssmic.2003.1352284 fatcat:zxmk5nwbijdyhbb3erephkgynm

Holographic read - write projector of video images

D. G. Papazoglou, M. Loulakis, G. Siganakis, N. A. Vainos
2002 Optics Express  
A photorefractive crystal holographically records multiple, angularly multiplexed 2D images. By sequentially reconstructing each pre-recorded image a holographic video is created.  ...  In first setup the 2D image of an LCD screen is holographicaly recorded in a photorefractive LiNbO 3 crystal. In the second setup the Fourier transform of the LCD screen is recoded in the crystal.  ...  An application of holography in 3D image recording and reconstruction is holographic cinematography [7] [8] [9] [10] [11] .  ... 
doi:10.1364/oe.10.000280 pmid:19436357 fatcat:mj6phi6grbgg5gsvrjiqvjkvry

The Structure of the Prokaryotic Cyclic Nucleotide-Modulated Potassium Channel MloK1 at 16 Å Resolution

Po-Lin Chiu, Matthew D. Pagel, James Evans, Hui-Ting Chou, Xiangyan Zeng, Bryant Gipson, Henning Stahlberg, Crina M. Nimigean
2007 Structure  
We present here the 3D single-particle structure by transmission electron microscopy and the projection map of membrane-reconstituted 2D crystals of MloK1 in the presence of cAMP.  ...  The 2D crystal packing in the membrane-embedded state is compatible with the S1-S4 domains in the vertical "up" state.  ...  We also thank Ben Webb for discussions regarding the usage of MODELER.  ... 
doi:10.1016/j.str.2007.06.020 pmid:17850745 pmcid:PMC2000844 fatcat:jwkw2wltcvbzvahxexmyevvepa

Stereo imaging camera model for 3D shape reconstruction of complex crystals and estimation of facet growth kinetics

Rui Zhang, Cai Y. Ma, Jing J. Liu, Yang Zhang, Yu J. Liu, Xue Z. Wang
2017 Chemical Engineering Science  
Here attention is given to the development of a new and more robust 3D shape reconstruction method for complicated crystal structures.  ...  It uses the 2D images of a crystal that are obtained from two or more cameras arranged in defined angles as well as a mathematical reconstruction algorithm.  ...  It reconstructed the 3D crystal shape by comparing Fourier descriptors of the 2D crystal projections in pre-computed database with the Fourier descriptors of on-line measured 2D images.  ... 
doi:10.1016/j.ces.2016.11.029 fatcat:ypvbveadwncdxihgqi5l2h65ca

Towards 3D crystal orientation reconstruction using automated crystal orientation mapping transmission electron microscopy (ACOM-TEM)

Aaron Kobler, Christian Kübel
2018 Beilstein Journal of Nanotechnology  
Only with the help of a dedicated TEM tomography sample holder is an accurate 3D reconstruction of the TEM lamella currently possible. 2D crystal orientation mapping has become a standard method for crystal  ...  In the following, a pathway towards 3D reconstruction from 2D crystal orientation maps is described and first results presented.  ...  Acknowledgements Support by the Karlsruhe Nano Micro Facility (KNMF), a Helmholtz research infrastructure operated at Karlsruhe Institute of Technology, is gratefully acknowledged.  ... 
doi:10.3762/bjnano.9.56 pmid:29527435 pmcid:PMC5827809 fatcat:cn6oc4uus5c6hbzqmrxpt62fxm

Three-Dimensional Electron Microscopy of Mesoporous Materials—Recent Strides Towards Spatial Imaging at the Nanometer Scale

Krijn P. de Jong, Abraham J. Koster
2002 ChemPhysChem  
Figure 3 . 3 a) 2D-TEM image of an XVUSY crystal and b) a thin slice (1.25 nm) through the 3D-TEM reconstruction of this crystal. Scale bars 200 nm.  ...  Figure 2 . 2 Principle of 3D-TEM techniques. A series of 2D projections is used to allow Fourier transformation (FT) and back transformation to obtain a reconstruction of the 3D object.  ... 
doi:10.1002/1439-7641(20020916)3:9<776::aid-cphc776>;2-e pmid:12436904 fatcat:phpxiv5pbrhj5dvlvlt7g2rlia

Three-dimensional imaging with axially distributed sensing using electronically controlled liquid crystal lens

Chih-Wei Chen, Myungjin Cho, Yi-Pai Huang, Bahram Javidi
2012 Optics Letters  
In this Letter, we present a three-dimensional (3D) imaging system with axially distributed sensing (ADS) using an electronically controlled liquid crystal (LC) lens.  ...  Multiple images with slightly different perspectives were experimentally recorded, and the 3D images were reconstructed according to the ray backprojection algorithm.  ...  We can distinguish the slight difference (magnification of the object) between the two images. Using computational reconstruction and all 2D recorded images, a 3D image can be reconstructed.  ... 
doi:10.1364/ol.37.004125 pmid:23027300 fatcat:wztua3dhmzdspawe6wbs2cp7ta

On-line measurement of the real size and shape of crystals in stirred tank crystalliser using non-invasive stereo vision imaging

Rui Zhang, Cai Y. Ma, Jing J. Liu, Xue Z. Wang
2015 Chemical Engineering Science  
Each 2D image pair is processed and analysed and then used to reconstruct the 3D shape of the crystal.  ...  The result demonstrates the advantage of 3D imaging over 2D in measurement of crystal real size and shape.  ...  Wang et al. proposed to use two or more synchronised cameras to firstly obtain two or three 2D images of the same moving crystal from different angles and then reconstruct its 3D shape from the 2D images  ... 
doi:10.1016/j.ces.2015.05.053 fatcat:yso72so7brcebexkinhhqly7ju

Direct inversion of digital 3D Fraunhofer holography maps

Sergei G. Podorov, Eckhart Förster
2016 Applied Optics  
In this article we demonstrate numerically the possibility to apply the DFH also for investigation of unknown 3D Objects.  ...  The Differential Fourier Holography (DFH) gives an exact mathematical solution of the inverse problem of diffraction in the Fraunhofer regime.  ...  We show that for the 3D imaging case, the method of DFH [1] or the combination of DFH and iterative methods as shown for the 2D case in [24] for 2D case may be used for successful reconstructions of  ... 
doi:10.1364/ao.55.00a150 pmid:26835947 fatcat:xgvx6kmowrayjmqerxqfjn5bgq
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