| Abstract: |
| Reconstructing a 3D volume from 2D slices is a classical problem in medical imaging.
In a joint work with Fran\c cois Dayrens and Simon Masnou, we propose a variational
model involving a geometric surface regularization term, typically the perimeter or the Willmore energy,
and density constraints for the slices.
We then explain how to approximate this optimization problem using a phase field
model, for which, a Gamma convergence results can be established in the case of
perimeter.
We propose also an efficient numerical scheme, whose performances are illustrated on
various examples involving various types of slices |
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