| Paper: | MA-P3.2 |
| Session: | Image and Video Denoising |
| Time: | Monday, September 17, 09:50 - 12:30 |
| Presentation: |
Poster
|
| Title: |
NONCONVEX REGULARIZATION FOR SHAPE PRESERVATION |
| Authors: |
Rick Chartrand; Los Alamos National Laboratory | | |
| Abstract: |
We show that using a nonconvex penalty term to regularize image reconstruction can substantially improve the preservation of object shapes. The commonly-used total-variation regularization, $\int |\nabla u|$, penalizes the length of object edges. We show that $\int |\nabla u|^p$, $0 < p < 1$, only penalizes edges of dimension at least $2-p$, and thus finite-length edges not at all. We give numerical examples showing the resulting improvement in shape preservation. |
