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High Resolution 3D Imaging of Ex-Vivo Biological Samples by Micro CT
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Shape from projections via differentiable forward projector for computed tomography.

Jakeoung Koo1, Anders B Dahl1, J Andreas Bærentzen1

  • 1Technical University of Denmark, Anker Engelunds Vej 1, Kgs. Lyngby, 2800, Denmark.

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Summary
This summary is machine-generated.

This study introduces a novel mesh-based reconstruction method for computed tomography, outperforming traditional voxel-based approaches on noisy data. The technique reconstructs 3D shapes directly from projections using a differentiable forward model.

Keywords:
Computed tomographyElectron tomographyMesh deformationTomographic reconstruction

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Area of Science:

  • Medical Imaging
  • Computer Vision
  • Computational Geometry

Background:

  • Computed tomography (CT) reconstruction traditionally uses voxel grids.
  • 3D meshes are primarily used for data simulation, not reconstruction, in tomography.
  • Reconstruction with 3D meshes involves estimating shapes from projections.

Purpose of the Study:

  • To propose a mesh-based reconstruction method for computed tomography.
  • To develop a differentiable forward model for 3D meshes in tomographic reconstruction.
  • To enable direct 3D shape reconstruction from projections using meshes.

Main Methods:

  • Developed a differentiable forward model for 3D meshes, treating forward projection as a differentiable rendering process.
  • Extended recent advancements in differentiable rendering for tomographic applications.
  • Applied the mesh-based forward model to reconstruct 3D shapes directly from projection data.

Main Results:

  • The mesh-based reconstruction method demonstrated superior performance compared to traditional voxel-based methods on noisy simulated data.
  • The method successfully reconstructed 3D shapes from projections.
  • The approach was validated on real-world electron tomography images of nanoparticles.

Conclusions:

  • Mesh-based reconstruction offers a promising alternative to voxel-based methods in computed tomography.
  • The differentiable forward model for 3D meshes effectively bridges forward modeling and optimization for shape reconstruction.
  • The proposed method shows practical applicability in analyzing real-world imaging data, such as electron tomography.