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Three-Dimensional Shape Modeling and Analysis of Brain Structures
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Limited-view binary tomography reconstruction assisted by shape centroid.

Tibor Lukić1, Péter Balázs2

  • 1Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia.

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|January 18, 2021
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Summary
This summary is machine-generated.

This study introduces a novel tomographic reconstruction method using object centroid information. This approach enables accurate shape reconstruction even with minimal projection data, including just one view.

Keywords:
Binary tomographyCenter of gravityEnergy minimizationInverse problemsReconstruction

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Area of Science:

  • Medical Imaging
  • Computational Science

Background:

  • Tomographic reconstruction is crucial for imaging but often requires extensive projection data.
  • Limited data scenarios pose significant challenges due to the ill-posed nature of the inverse problem.

Purpose of the Study:

  • To develop a robust tomographic reconstruction model for scenarios with very limited projection data.
  • To leverage prior knowledge of the object's shape centroid to improve reconstruction accuracy.

Main Methods:

  • A novel reconstruction model incorporating a shape centroid-based regularization term was proposed.
  • The model utilizes the known or approximated center of gravity of the object.
  • The relationship between projection data and object centroid was theoretically established.

Main Results:

  • Reasonable tomographic reconstruction results were achieved with minimal projection data.
  • Effective reconstruction was demonstrated even when data was acquired from a single projection direction.
  • The centroid regularization proved beneficial for ill-posed inverse problems.

Conclusions:

  • Shape centroid information is a valuable prior for enhancing tomographic reconstruction with limited data.
  • The proposed method offers a practical solution for reconstruction tasks where data acquisition is constrained.
  • This technique holds potential for applications requiring efficient imaging from minimal projections.