A Wavelet-Based Statistical Model for Image Restoration
| dc.citation.bibtexName | inproceedings | en_US |
| dc.citation.conferenceName | IEEE International Conference on Image Processing | en_US |
| dc.citation.location | Thessaloniki, Greece | en_US |
| dc.contributor.author | Wan, Yi | en_US |
| dc.contributor.author | Nowak, Robert David | en_US |
| dc.contributor.org | Digital Signal Processing (http://dsp.rice.edu/) | en_US |
| dc.date.accessioned | 2007-10-31T01:09:26Z | en_US |
| dc.date.available | 2007-10-31T01:09:26Z | en_US |
| dc.date.issued | 2001-10-20 | en_US |
| dc.date.modified | 2001-10-07 | en_US |
| dc.date.note | 2001-10-07 | en_US |
| dc.date.submitted | 2001-10-20 | en_US |
| dc.description | Conference Paper | en_US |
| dc.description.abstract | In this paper we develop a wavelet-based statistical method for solving the image restoration problem. In this approach, a signal prior is set up by modeling the image wavelet coefficients as independent Gaussian mixture random variables. We first specify a uniform (non-informative) distribution on the mixing parameters, which leads to a simple and efficient iterative algorithm for MAP estimation. This algorithm is similar to the EM algorithm in that it alternates between a state estimation step and a maximization step. Moreover, we show that our algroithm converges monotonically to a local maximum of the posterior distribution. We next generalize the result to non-uniform priors and develop an efficient integer programming algorithm that enables a similar alternating optimization procedure. | en_US |
| dc.identifier.citation | Y. Wan and R. D. Nowak, "A Wavelet-Based Statistical Model for Image Restoration," 2001. | en_US |
| dc.identifier.doi | http://dx.doi.org/10.1109/ICIP.2001.959087 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/20440 | en_US |
| dc.language.iso | eng | en_US |
| dc.subject | wavelet | en_US |
| dc.subject | image restoration | en_US |
| dc.subject | MAP | en_US |
| dc.subject | Gaussian mixture | en_US |
| dc.subject | EM algorithm | en_US |
| dc.subject.keyword | wavelet | en_US |
| dc.subject.keyword | image restoration | en_US |
| dc.subject.keyword | MAP | en_US |
| dc.subject.keyword | Gaussian mixture | en_US |
| dc.subject.keyword | EM algorithm | en_US |
| dc.title | A Wavelet-Based Statistical Model for Image Restoration | en_US |
| dc.type | Conference paper | en_US |
| dc.type.dcmi | Text | en_US |