Improved 2D vector field estimation using probabilistic weights |
JOSA A, Vol. 28, Issue 8, pp. 1620-1635 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001620
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Abstract
We consider the application of tomography to the reconstruction of two-dimensional vector fields. The most practical sensor configuration in such problems is the regular positioning along the boundary of the reconstruction domain. However, such a configuration does not result in uniform distribution in the Radon parameter space, which is a necessary requirement to achieve accurate reconstruction results. On the other hand, sampling the projection space uniformly imposes serious constraints on space or time. In this paper, we propose to place the sensors regularly along the boundary of the reconstruction domain and employ probabilistic weights with the purpose of compensating for the lack of uniformity in the distribution of projection space parameters. Simulation results demonstrate that, when the proposed probabilistic weights are employed, an average 27% decrease in the reconstruction error may be achieved, over the case that projection measurements are not weighed (e.g., in one case the error reduces from 3.7% to 2.6%). When compared with the case where actual uniform sampling of the projection space is employed, the proposed method achieves a 90 times reduction in the number of the required sensors or 180 times reduction in the total scanning time, with only 7% increase in the error with which the vector field is estimated.
© 2011 Optical Society of America
OCIS Codes
(100.3190) Image processing : Inverse problems
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(110.6955) Imaging systems : Tomographic imaging
(110.3010) Imaging systems : Image reconstruction techniques
ToC Category:
Imaging Systems
History
Original Manuscript: February 25, 2011
Revised Manuscript: May 6, 2011
Manuscript Accepted: May 8, 2011
Published: July 13, 2011
Virtual Issues
Vol. 6, Iss. 9 Virtual Journal for Biomedical Optics
Citation
Archontis Giannakidis and Maria Petrou, "Improved 2D vector field estimation using probabilistic weights," J. Opt. Soc. Am. A 28, 1620-1635 (2011)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-28-8-1620
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