OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 32 — Nov. 10, 2012
  • pp: 7820–7825

Three-dimensional reconstruction of laser-imploded targets from simulated pinhole images

Peng Xu, Yonglin Bai, Xiaohong Bai, Baiyu Liu, Xian Ouyang, Bo Wang, Wenzheng Yang, Yongsheng Gou, Bingli Zhu, and Junjun Qin  »View Author Affiliations

Applied Optics, Vol. 51, Issue 32, pp. 7820-7825 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (652 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This paper proposes an integral method to achieve a more accurate weighting matrix that makes very positive contributions to the image reconstruction in inertial confinement fusion research. Standard algebraic reconstruction techniques with a positivity constraint included are utilized. The final normalized mean-square error between the simulated and reconstructed projection images is 0.000365%, which is a nearly perfect result, indicating that the weighting matrix is very important. Compared with the error between the simulated and reconstructed phantoms, which is 2.35%, it seems that the improvement of the accuracy of the projection image does not mean the improvement of the phantom. The proposed method can reconstruct a simulated laser-imploded target consisting of 100×100×100 voxels.

© 2012 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.6890) Image processing : Three-dimensional image processing
(340.7440) X-ray optics : X-ray imaging
(350.2660) Other areas of optics : Fusion
(100.0118) Image processing : Imaging ultrafast phenomena

ToC Category:
Image Processing

Original Manuscript: July 20, 2012
Revised Manuscript: September 5, 2012
Manuscript Accepted: October 1, 2012
Published: November 8, 2012

Peng Xu, Yonglin Bai, Xiaohong Bai, Baiyu Liu, Xian Ouyang, Bo Wang, Wenzheng Yang, Yongsheng Gou, Bingli Zhu, and Junjun Qin, "Three-dimensional reconstruction of laser-imploded targets from simulated pinhole images," Appl. Opt. 51, 7820-7825 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y.-W. Chen, T. Kohatsu, S. Nozaki, and R. Kodama, “Heuristic reconstruction of three-dimensional laser-imploded targets from x-ray pinhole images,” Rev. Sci. Instrum. 74, 2236–2239(2003). [CrossRef]
  2. T. Zhuang, CT Principles and Algorithms (Shanghai Jiao Tong University, 1992).
  3. J. G. Colsher, “Iterative three-dimensional image reconstruction from tomographic projections,” Comput. Graph. Image Process. 6, 513–537 (1977). [CrossRef]
  4. G. N. Minerbo, J. G. Sanderson, D. B. van Hulsteyn, and P. Lee, “Three-dimensional reconstruction of the x-ray emission in laser imploded targets,” Appl. Opt. 19, 1723–1728 (1980). [CrossRef]
  5. A. Holland, E. T. Powell, and R. J. Fonck, “Image reconstruction methods for the PBX-M pinhole camera,” Appl. Opt. 30, 3740–3751 (1991). [CrossRef]
  6. G. T. Herman and A. Lent, “Iterative reconstruction algorithms,” Comput. Biol. Med. 6, 273–294 (1976). [CrossRef]
  7. G. Minerbo, “MENT: a maximum entropy algorithm for reconstructing a source from projection data,” Comput. Graph. Image Process. 10, 48–68 (1979). [CrossRef]
  8. A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm,” Ultrason. Imag. 6, 81–94 (1984). [CrossRef]
  9. D. Ress, R. A. Lerche, and L. Da Silva, “Demonstration of an x-ray ring-aperture microscope for inertial-confinement fusion experiments,” Appl. Phys. Lett. 60, 410–412 (1992). [CrossRef]
  10. G. Gillman and I. Macleod, “Reconstruction of x-ray sources from penumbral images,” Comput. Graph. Image Process. 11, 227–241 (1979). [CrossRef]
  11. D. Ress, R. A. Lerche, R. J. Ellis, S. M. Lane, and K. A. Nugent, “Neutron imaging of laser fusion targets,” Science 241, 956–958 (1988). [CrossRef]
  12. T. Ueda, S. Fujioka, S. Nozaki, R. Azuma, Y.-W. Chen, and H. Nishimura, “A uniformly redundant imaging array of penumbral apertures coupled with a heuristic reconstruction for hard x-ray and neutron imaging,” Rev. Sci. Instrum. 81, 073505 (2010). [CrossRef]
  13. Z. Zhao, Y. Ding, J. Dong, Y. Hao, S. Wu, L. Cao, and Y. Pu, “Richardson–Lucy method for decoding x-ray ring code image,” Plasma Phys. Control. Fusion 49, 1145–1150 (2007). [CrossRef]
  14. W. Yao and K. Leszczynski, “Analytically derived weighting factors for transmission tomography cone beam projections,” Phys. Med. Biol. 54, 513–533 (2009). [CrossRef]
  15. H. Zhao and A. J. Reader, “Fast ray-tracing technique to calculate line integral paths in voxel arrays,” IEEE Nucl. Sci. Symp. Conf. Record 4, 2808–2812 (2003). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited