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Research Idea

Research Idea. Lei Rao Feb. 7th, 2009. Basic Idea of Image Restoration. g (x, y). Degradation Function H. Restoration Filter (s). f (x, y). +. f* (x, y). Noise n (x, y). Question: How to reconstruct the original image f (x, y) from the observation g (x, y)?

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Research Idea

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  1. Research Idea Lei Rao Feb. 7th, 2009

  2. Basic Idea of Image Restoration g (x, y) Degradation Function H Restoration Filter (s) f (x, y) + f* (x, y) Noise n (x, y) • Question: How to reconstruct the original image f (x, y) from the observation g (x, y)? • Algebraic Approach to Restoration: • Unconstrained Restoration • Constrained Restoration • Idea: • Entropy Maximization under Constraints reconstructs the image better.

  3. Related Work [1] S. Burch, S. Gull, and J. Skilling, “Image restoration by a powerful maximum entropy method,” Computer Vision, Graphics, and Image Processing, vol. 23, 1983, pp. 128, 113. [2] S. Gull and G. Daniell, “Image reconstruction from incomplete and noisy data,” Nature, vol. 272, Apr. 1978, pp. 686-690.

  4. Research Idea • Classical image restoration methods can be exploited to do calibration in wireless sensor networks. • The methods are effective for both blind and non-blind calibration.

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