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A Phase Field Approach to Limited-angle Tomographic Reconstruction

Turpin Léonard, Roux Stéphane, Caty Olivier, Denneulin Sébastien

Fundamenta Informaticae

2020

Vol. 172, nr 2

203--219

The tomography of an object with limited angle can be addressed through Iterative Reconstruction Reprojection (IRR) procedure, where in 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%).