Abstract
Image inpainting refers to restoring a damaged image with missing information. In recent years there have been many developments on computational approaches to image inpainting problem [2 4 6 9 11-13 27 28]. While there are many effective algorithms available there is still a lack of theoretical understanding on under what conditions these algorithms work well. In this paper we take a step in this direction. We investigate an error bound for inpainting methods by considering different image spaces such as smooth images piecewise constant images and a particular kind of piecewise continuous images. Numerical results are presented to validate the theoretical error bounds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 85-103 |
| Number of pages | 19 |
| Journal | JOURNAL OF MATHEMATICAL IMAGING AND VISION |
| Volume | 26 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Nov 2006 |
| Externally published | Yes |
Keywords
- Error analysis
- Image restoration
- Inpainting
- Inpainting domain
- Total variation minimization
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Condensed Matter Physics
- Computer Vision and Pattern Recognition
- Geometry and Topology
- Applied Mathematics