A phase-field approach to limited-angle tomographic reconstruction

Léonard Turpin (1, 2) , Stéphane Roux (2) , Olivier Caty (1) , Sébastien Denneulin (3)

1 LCTS - Laboratoire des Composites Thermostructuraux
2 LMT - Laboratoire de Mécanique et Technologie
3 Safran Ceramics

The tomography of an object with limited angle can be addressed through Iterative Reconstruction Reprojection (IRR) procedure, wherein a standard reconstruction procedure is used together with a ``filtering'' of the image at each iteration. It is here proposed to use as a filter a phase-field --- or Cahn-Hilliard --- regularization interlaced with a filtered back-projection reconstruction. This reconstruction procedure is tested on a cone-beam tomography of a 3D woven ceramic composite material, and is shown to retrieve a reconstructed volume with very low artifacts in spite of a large missing angle interval (up to 28\%).

Mots clés: Iterative Reconstruction Reprojection (IRR); X-ray micro-CT; Missing-angle reconstruction; Regularization; Phase field

Domaines: Sciences de l'ingénieur [physics]; Optique / photonique; Traitement du signal et de l'image [eess.SP]

Léonard Turpin, Stéphane Roux, Olivier Caty, Sébastien Denneulin. A phase-field approach to limited-angle tomographic reconstruction. Fundamenta Informaticae, 2020, 172 (2), pp.203-219. ⟨10.3233/FI-2020-1901⟩. ⟨hal-02350800⟩