Mathematics – Numerical Analysis
Scientific paper
2007-10-28
Mathematics
Numerical Analysis
22 pages, 10 figures
Scientific paper
The paper analyzes and compares some spectral filtering methods as truncated singular/eigen-value decompositions and Tikhonov/Re-blurring regularizations in the case of the recently proposed Reflective [M.K. Ng, R.H. Chan, and W.C. Tang, A fast algorithm for deblurring models with Neumann boundary conditions, SIAM J. Sci. Comput., 21 (1999), no. 3, pp.851-866] and Anti-Reflective [S. Serra Capizzano, A note on anti-reflective boundary conditions and fast deblurring models, SIAM J. Sci. Comput., 25-3 (2003), pp. 1307-1325] boundary conditions. We give numerical evidence to the fact that spectral decompositions (SDs) provide a good image restoration quality and this is true in particular for the Anti-Reflective SD, despite the loss of orthogonality in the associated transform. The related computational cost is comparable with previously known spectral decompositions, and results substantially lower than the singular value decomposition. The model extension to the cross-channel blurring phenomenon of color images is also considered and the related spectral filtering methods are suitably adapted.
No associations
LandOfFree
Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-236840