Abstract
Total variation regularization has good performance in noise removal and edge preservation but lacks in texture restoration. Here we present a texture-preserving strategy to restore images contaminated by blur and noise. According to a texture detection strategy, we apply spatially adaptive fractional order diffusion. A fast algorithm based on the half-quadratic technique is used to minimize the resulting objective function. Numerical results show the effectiveness of our strategy.
| Original language | English |
|---|---|
| Pages (from-to) | 276-296 |
| Number of pages | 21 |
| Journal | Numerical Mathematics |
| Volume | 6 |
| Issue number | 1 |
| Early online date | 11 Jan 2013 |
| DOIs | |
| Publication status | Published - Feb 2013 |
| Externally published | Yes |
Funding
This work has been partially supported by MIUR-Prin 2008, ex60% project by University of Bologna Funds for selected research topics and by GNCS-INDAM.
Keywords
- Deblurring
- Fractional order derivatives
- Ill-posed problem
- Regularizing iterative method
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