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Histogram derived penalty functions in gradient-based optical tomography

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Abstract

It is well known that the image reconstruction problem in optical tomography is ill-posed. In this work we approach the problem within a gradient-based image iterative reconstruction (GIIR) scheme. The reconstruction is considered as a minimization of an objective function. This function can be separated into a least-square-error term, which compares predicted and actual detector readings, and additional penalty terms that contain a priori information about the system. In this work penalty functions are considered that are derived from full or partial knowledge of the histogram of the image to be reconstructed.

© 2000 Optical Society of America

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