Name
Abstract | ||
|---|---|---|
We propose a variational approach for the reconstruction of a volume from slices. The reconstructed set is obtained as a minimizer of a geometric regularity criterion, either the perimeter or the Willmore energy, with inclusion-exclusion constraints associated with the cross sections. We propose a phase field approximation of this model, and we analyze it when the regularity criterion is the perimeter. We derive simple and accurate numerical schemes for both the perimeter-based and the Willmore-based formulations, and we illustrate with several numerical examples the performances of our approach, which proves to be effective for a large category of constraints. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/17M1116283 | SIAM JOURNAL ON IMAGING SCIENCES |
Keywords | Field | DocType |
volume reconstruction,variational model,perimeter,Willmore energy,phase field,Gamma-convergence | Mathematical analysis,Variational model,Perimeter,Volume reconstruction,Mathematics,Willmore energy | Journal |
Volume | Issue | ISSN |
10 | 4 | 1936-4954 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Elie Bretin | 1 | 14 | 3.58 |
| François Dayrens | 2 | 0 | 0.34 |
| Simon Masnou | 3 | 124 | 9.26 |