Baskaran, S.Millane, R.P.2010-01-122010-01-121998Baskaran, S., Millane, R.P. (1998) Bayesian estimation in an image restoration problem in x-ray fiber diffraction. Seattle, USA: IEEE Conference on Acoustics, Speech Signal Processing, Proceedings Vol. 5, 1998. 2909--2912.http://hdl.handle.net/10092/3374The restoration of an incomplete image from a known part and experimental data in the form of the Fourier amplitude squared sums is formulated as a Bayesian estimation problem. This problem is motivated by the structure completion problem in x-ray fiber diffraction analysis. An appropriate prior of uniformly distributed impulses is used. The Bayesian MMSE and MAP estimates are obtained. Simulations are used to compare the performance of the estimates. The results show that the MMSE estimate significantly outperforms the other estimates. The restored images exhibit some bias towards the known part of the image. This can be partly reduced by an unbiasing procedure.en©1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.Conference Contributions - OtherFields of Research::280000 Information, Computing and Communication Sciences::280200 Artificial Intelligence and Signal and Image Processing::280203 Image processingFields of Research::230000 Mathematical Sciences::230200 Statistics::230204 Applied statistics