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April 1977 (vol. 26 no. 4)
pp. 351-364
S.J. Wernecke, Department of Electrical Engineering, Stanford University
Two-dimensional digital image reconstruction is an important imaging process in many of the physical sciences. If the data are insufficient to specify a unique reconstruction, an additional criterion must be introduced, either implicitly or explicitly before the best estimate can be computed. Here we use a principle of maximum entropy, which has proven useful in other contexts, to design a procedure for reconstruction from noisy measurements. Implementation is described in detail for the Fourier synthesis problem of radio astronomy. The method is iterative and hence more costly than direct techniques; however, a number of comparative examples indicate that a significant improvement in image quality and resolution is possible with only a few iterations. A major component of the computational burden of the maximum entropy procedure is shown to be a two-dimensional convolution sum, which can be efficiently calculated by fast Fourier transform techniques.
Index Terms:
Digital image processing, Fourier synthesis, image processing, image reconstruction, maximum entropy, radio telescopes, statistical estimation theory.
Citation:
S.J. Wernecke, L.R. D'Addario, "Maximum Entropy Image Reconstruction," IEEE Transactions on Computers, vol. 26, no. 4, pp. 351-364, April 1977, doi:10.1109/TC.1977.1674845
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