A bound optimization approach to wavelet-based image deconvolution

• Published in: IEEE International Conference on Image Processing 2005 Vol. 2; pp. II - 782
• Main Authors: Figueiredo, M.A.T., Nowak, R.D.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2005
• Subjects: Deconvolution; Equations; Image reconstruction; Image restoration; Iterative algorithms; Noise reduction; Telecommunication computing; Wavelet coefficients; Wavelet domain; Wavelet transforms
• ISBN: 9780780391345; 0780391349
• ISSN: 1522-4880; 2381-8549
• DOI: 10.1109/ICIP.2005.1530172

We address the problem of image deconvolution under I/sub p/ norm (and other) penalties expressed in the wavelet domain. We propose an algorithm based on the bound optimization approach; this approach allows deriving EM-type algorithms without using the concept of missing/hidden data. The algorithm has provable monotonicity both with orthogonal or redundant wavelet transforms. We also derive bounds on the l/sub p/ norm penalties to obtain closed form update equations for any p /spl isin/ [0, 2]. Experimental results show that the proposed method achieves state-of-the-art performance.