Abstract
A convex non-convex variational model is proposed for multiphase image segmentation. We consider a specially designed non-convex regularization term which adapts spatially to the image structures for a better control of the segmentation boundary and an easy handling of the intensity inhomogeneities. The nonlinear optimization problem is efficiently solved by an alternating directions methods of multipliers procedure. We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.
| Original language | English |
|---|---|
| Pages (from-to) | 635-680 |
| Number of pages | 46 |
| Journal | Numerische Mathematik |
| Volume | 138 |
| Issue number | 3 |
| Early online date | 6 Sept 2017 |
| DOIs | |
| Publication status | Published - Mar 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2017, Springer-Verlag GmbH Deutschland.
Funding
Acknowledgements We would like to thank the referees for comments that lead to improvements of the presentation.This work is partially supported by HKRGC GRF Grant No. CUHK300614, CUHK14306316, CRF Grant No. CUHK2/CRF/11G, AoE Grant AoE/M-05/12, CUHK DAG No. 4053007, and FIS Grant No. 1907303. Research by SM, AL and FS was supported by the “National Group for Scientific Computation (GNCS-INDAM)” and by ex60% project by the University of Bologna “Funds for selected research topics”.
Keywords
- 47N10
- 52A41
- 65K10
- 65K15
- 90C26