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  • Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints
  • Technical Digest Series (Optica Publishing Group, 1983),
  • paper FA11
  • https://doi.org/10.1364/SRS.1983.FA11

Two-dimensional Reconstructions from One-dimensional Data by Maximum Entropy

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Abstract

The Maximum Entropy Method (MEM) is a powerful information-theoretic approach to the inversion of many types of data in science and engineering. It has been used for reconstructing positive images in such areas as radio astronomy [1,2], medical tomography [3], plasma diagnostics [4] and crystallography [5]. Practical data are always corrupted by noise and are usually incomplete: for example, there may be missing projections or missing Fourier components. Also the instrumental response function may be incompletely known [6]. These factors can lead to severely ill-posed inversion problems.

© 1983 Optical Society of America

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