Abstract
We propose a hybrid approach to wavelet-based image deconvolution that comprises Fourier-domain system inversion followed by wavelet-domain noise suppression. In contrast to conventional wavelet-based deconvolution approaches, the algorithm employs a regularized inverse filter, which allows it to operate even when the system is non-invertible. Using a mean-square-error metric, we strike an optimal balance between Fourier-domain regularization that is matched to the system and wavelet-domain regularization that is matched to the signal. Theoretical analysis reveals that the optimal balance is determined by economics of the input signal wavelet representation and the operator structure. The resultant algorithm is fast, O(N log2 2 N) where N denotes the number of samples, and is well-suited to data with spatially-localized phenomena such as edges. In addition to enjoying asymptotically near-optimal rates of error decay for some systems, the algorithm also achieves excellent performance at fixed data lengths. In simulations with real data, the algorithm outperforms the conventional LTI Wiener filter and other wavelet-based deconvolution algorithms in terms of both visual quality and MSE performance.
Original language | English |
---|---|
Title of host publication | IEEE International Conference on Image Processing |
Place of Publication | Los Alamitos, CA, United States |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 204-208 |
Number of pages | 5 |
Volume | 1 |
State | Published - Dec 1 1999 |
Event | International Conference on Image Processing (ICIP'99) - Kobe, Jpn Duration: Oct 24 1999 → Oct 28 1999 |
Other
Other | International Conference on Image Processing (ICIP'99) |
---|---|
City | Kobe, Jpn |
Period | 10/24/99 → 10/28/99 |
ASJC Scopus subject areas
- Computer Vision and Pattern Recognition
- Hardware and Architecture
- Electrical and Electronic Engineering