We propose using Partial Differential Equation (PDE) techniques in wavelet based image processing to remove noise and reduce edge artifacts generated by wavelet thresholding. We employ a variational framework, in particular the minimization of total variation (TV), to select and modify the retained wavelet coefficients so that the reconstructed images have fewer oscillations near edges while noise is smoothed. Numerical experiments show that this approach improves the reconstructed image quality in wavelet compression and in denoising.
|Original language||English (US)|
|Number of pages||27|
|Journal||Journal of Scientific Computing|
|State||Published - Aug 2007|
Bibliographical noteFunding Information:
Research supported in part by grants ONR-N00017-96-1-0277, NSF DMS-9973341 and DMS-0410062 and NIH contract P 20 MH65166.
- Image processing
- Total variation minimization
ASJC Scopus subject areas
- Theoretical Computer Science
- Numerical Analysis
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics