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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
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Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
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Accurate real space iterative reconstruction (RESIRE) algorithm for tomography.

Minh Pham1, Yakun Yuan2,3, Arjun Rana2

  • 1Department of Mathematics, University of California, Los Angeles, CA, 90095, USA. minhrose@ucla.edu.

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|April 6, 2023
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Summary
This summary is machine-generated.

A new real-space iterative reconstruction (RESIRE) algorithm improves 3D tomographic reconstruction accuracy from limited, noisy projection data. This method enhances 3D object structure determination across various scientific fields.

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Area of Science:

  • Physical Sciences
  • Biological Sciences
  • Medical Sciences

Background:

  • Tomography reconstructs 3D objects from 2D projections, crucial for scientific imaging.
  • Limited projection data due to radiation dose or geometric constraints presents a major challenge in achieving accurate 3D reconstructions.
  • Existing methods include direct inversion, real-space, and Fourier-based iterative algorithms.

Purpose of the Study:

  • To develop an accurate real-space iterative reconstruction (RESIRE) algorithm for improved 3D tomographic reconstruction.
  • To address the challenge of reconstructing high-quality 3D data from limited and noisy projection sets.
  • To provide a widely applicable tool for tomographic applications.

Main Methods:

  • Developed a real-space iterative reconstruction (RESIRE) algorithm.
  • RESIRE iterates between updating the 3D object and measured projections via forward and back projection steps.
  • Forward projection utilizes the Fourier slice theorem or Radon transform; back projection uses linear transformation.

Main Results:

  • RESIRE demonstrates more accurate 3D reconstructions compared to existing algorithms using limited, noisy projection data.
  • Successfully reconstructed the 3D atomic structure of an amorphous Ta thin film, showcasing its capability for extended objects.
  • Numerical and experimental results validate the algorithm's performance.

Conclusions:

  • RESIRE offers superior accuracy for 3D tomographic reconstruction, especially with limited and noisy data.
  • The algorithm is effective for reconstructing extended objects, with applications in materials science and beyond.
  • The RESIRE algorithm and associated data are publicly available to facilitate broader use.