Title :
Bayesian estimation in an image restoration problem in X-ray fiber diffraction
Author :
Baskaran, Shyamsunder ; Millane, R.R.
Author_Institution :
Comput. Sci. & Eng. Program, Purdue Univ., West Lafayette, IN, USA
Abstract :
The 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
Keywords :
Bayes methods; Fourier analysis; X-ray diffraction; image restoration; least mean squares methods; maximum likelihood estimation; physics computing; polymer structure; Bayesian estimation; Fourier amplitude squared sums; MAP estimates; MMSE; X-ray fiber diffraction; bias; image restoration problem; incomplete image; polymers; restored images; unbiasing procedure; uniformly distributed impulses; Bayesian methods; Crystallization; Crystallography; Electrons; Fourier transforms; Image restoration; Lattices; X-ray diffraction; X-ray imaging; X-ray scattering;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.678134
