title: Atomic resolution tomography reconstruction of tilt series based on a GPU accelerated hybrid input-output algorithm using polar Fourier transform.
abstract: Advances in diffraction and transmission electron microscopy (TEM) have greatly improved the prospect of three-dimensional (3D) structure reconstruction from two-dimensional (2D) images or diffraction patterns recorded in a tilt series at atomic resolution. Here, we report a new graphics processing unit (GPU) accelerated iterative transformation algorithm (ITA) based on polar fast Fourier transform for reconstructing 3D structure from 2D diffraction patterns. The algorithm also applies to image tilt series by calculating diffraction patterns from the recorded images using the projection-slice theorem. A gold icosahedral nanoparticle of 309 atoms is used as the model to test the feasibility, performance and robustness of the developed algorithm using simulations. Atomic resolution in 3D is achieved for the 309 atoms Au nanoparticle using 75 diffraction patterns covering 150° rotation. The capability demonstrated here provides an opportunity to uncover the 3D structure of small objects of nanometers in size by electron diffraction.
authors.affiliation: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, 1304 W. Green St., Urbana, IL 61801, USA.
authors.forename: Xiangwen
authors.initials: X
authors.lastname: Lu
authors.affiliation: Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, 1304 W. Green St., Urbana, IL 61801, USA; Materials Research Laboratory, University of Illinois at Urbana-Champaign, 1304 W. Green St., Urbana, IL 61801, USA.
authors.forename: Wenpei
authors.initials: W
authors.lastname: Gao
authors.affiliation: Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, 1304 W. Green St., Urbana, IL 61801, USA; Materials Research Laboratory, University of Illinois at Urbana-Champaign, 1304 W. Green St., Urbana, IL 61801, USA. Electronic address: jianzuo@illinois.edu.
authors.forename: Jian-Min
authors.initials: JM
authors.lastname: Zuo
authors.affiliation: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
authors.forename: Jiabin
authors.initials: J
authors.lastname: Yuan
keywords: Atomic resolution; Diffraction imaging; GPU accelerated; Phase retrieval algorithms; Polar Fourier transform; TEM tomography; Three dimensional imaging