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Maximum entropy analysis of coded images
Institution:1. Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan;2. Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, 3-1-1 Yoshinodai, Chuou, Sagamihara, Kanagawa 252-5210, Japan;3. High Energy Accelerator Research Organization, 2-4 Shirane Shirakata, Tokai-mura, Naka-gun, Ibaraki 319-1195, Japan;4. Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna-son, Kunigami-gun, Okinawa 904-0495, Japan
Abstract:Maximum entropy reconstruction of coded images which are very noisy or consist of only a small number of detected quanta is considered. It is shown that for data with a high constant variance noise background, maximum entropy allows useful images to be reconstructed from data that is otherwise too noisy. The maximum entropy principle is also applied to quantum limited data where an approach for finding the optimum smoothing is developed which allows information about the location and outline of the object to be deduced from very sparse data. In the neutron imaging example presented, this was done with only 715 detected quanta.
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