NONCONVEX REGULARIZATION FOR SHAPE PRESERVATION
- Los Alamos National Laboratory
The authors 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, {integral}|{del}u|, penalizes the length of the object edges. They show that {integral}|{del}u|{sup 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.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1000753
- Report Number(s):
- LA-UR-07-0291; TRN: US201101%%537
- Resource Relation:
- Conference: IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING ; 200709 ; SAN ANTONIO
- Country of Publication:
- United States
- Language:
- English
Similar Records
SU-E-I-01: Iterative CBCT Reconstruction with a Feature-Preserving Penalty
Sinogram restoration in computed tomography with an edge-preserving penalty
Optical tomography reconstruction algorithm with the finite element method: An optimal approach with regularization tools
Journal Article
·
Mon Jun 15 00:00:00 EDT 2015
· Medical Physics
·
OSTI ID:1000753
+1 more
Sinogram restoration in computed tomography with an edge-preserving penalty
Journal Article
·
Sun Mar 15 00:00:00 EDT 2015
· Medical Physics
·
OSTI ID:1000753
Optical tomography reconstruction algorithm with the finite element method: An optimal approach with regularization tools
Journal Article
·
Tue Oct 15 00:00:00 EDT 2013
· Journal of Computational Physics
·
OSTI ID:1000753