Reconstruction of compact binary images from limited Fourier amplitude data
JOSA A, Vol. 25, Issue 10, pp. 2600-2607 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002600
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Abstract
The problem of reconstructing a binary image from undersampled Fourier amplitude data is considered. This problem maps to an image reconstruction problem in x-ray crystallography. The binary constraint is sufficient to overcome the undersampling and enforce uniqueness, but is insufficient in the case of the additional loss of data that can occur in practice. An iterative projection algorithm is developed that uses binary, connectivity, and compactness constraints to solve the image reconstruction problem. Simulations show the utility of the reconstruction algorithm.
© 2008 Optical Society of America
OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(110.1758) Imaging systems : Computational imaging
ToC Category:
Image Processing
History
Original Manuscript: May 2, 2008
Revised Manuscript: August 22, 2008
Manuscript Accepted: August 24, 2008
Published: September 25, 2008
Citation
V. L. Lo and R. P. Millane, "Reconstruction of compact binary images from limited Fourier amplitude data," J. Opt. Soc. Am. A 25, 2600-2607 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-10-2600
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