JSM 2005 - Toronto

Abstract #304747

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 199
Type: Contributed
Date/Time: Monday, August 8, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #304747
Title: Image Reconstruction: An Information-theoretic Approach
Author(s): Amos Golan*+ and Avinash Bhati and Bahattin Buyuksahin
Companies: American University and The Urban Institute and World Bank
Address: , Bethesda, MD, 20816,
Keywords: entropy ; Information ; Image Recomstruction ; Estimation
Abstract:

Often, we are faced with noisy data or images. At times, we have additional data that can be incorporated into our estimation or image reconstructions, but other times we just have the noisy (or blurry) image. In this work, we develop an information-theoretic (IT) estimation method for reconstructing blurry and noisy images. The resulting method extends (and builds on the foundations of) IT methods by further relaxing some of the underlying assumptions, uses minimal distributional assumptions, performs well (relative to current methods of estimation and image reconstruction), and uses all the available information (hard and soft data) efficiently. In other words, the IT framework discussed and developed here allows us to introduce different priors and other soft data into the estimation process while keeping the complexity of the estimation model to a minimum. In addition, to gain more precision, rather than estimating the signal as "point" estimates, we estimate the full distribution of each pixel. This method is computationally and statistically efficient. The same method also is used for estimating a large class of linear problems.


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