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    Shift-Invariant Denoising using Wavelet-Domain Hidden Markov Trees

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    Author
    Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G.
    Date
    2006-06-07
    Abstract
    Wavelet-domain hidden Markov models have proven to be useful tools for statistical signal and image processing. The hidden Markov tree (HMT) model captures the key features of the joint statistics of the wavelet coefficients of real-world data. One potential drawback to the HMT framework is the need for computationally expensive iterative training (using the EM algorithm, for example). We use an image structure not yet recognized by the HMT to show that the HMT parameters of real-world, grayscale images have a certain form. This leads to a description of the HMT model with just nine meta-parameters (independent of the size of the image and the number of wavelet scales). We also observe that these nine meta-parameters are similar for many images. This leads to a universal HMT (uHMT) model for grayscale images. Algorithms using the uHMT require no training of any kind. While simple, a series of image estimation/denoising experiments show that the uHMT retains nearly all of the key structures modeled by the full HMT. Based on the uHMT model, we develop a shift-invariant wavelet denoising scheme that outperforms all algorithms in the current literature.
    Description
    Conference Paper
    Citation
    J. Romberg, H. Choi and R. G. Baraniuk, "Shift-Invariant Denoising using Wavelet-Domain Hidden Markov Trees," vol. 2, 1999.
    Published Version
    http://dx.doi.org/10.1109/ACSSC.1999.831912
    Keyword
    DSP for Communications
    Type
    Conference paper
    Citable link to this page
    https://hdl.handle.net/1911/20292
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    • DSP Publications [508]
    • ECE Publications [1468]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map