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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 154630, 15 pages
doi:10.1155/2012/154630
Combined Energy Minimization for Image Reconstruction from Few Views
1School of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, China
2College of Management Science, Chengdu University of Technology, Chengdu 610059, China
3College of Science, Xi’an University of Science and Technology, Xi’an 710054, China
4National School of Software, Xidian University, Xi’an 710071, China
Received 15 June 2012; Revised 27 August 2012; Accepted 22 September 2012
Academic Editor: Kui Fu Chen
Copyright © 2012 Wei Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- D. J. Brenner and E. J. Hall, “Computed tomography—an increasing source of radiation exposure,” New England Journal of Medicine, vol. 357, no. 22, pp. 2277–2284, 2007. View at Publisher · View at Google Scholar · View at Scopus
- R. E. Van Gelder, H. W. Venema, J. Florie et al., “CT colonography: feasibility of substantial dose reduction—comparison of medium to very low doses in identical patients,” Radiology, vol. 232, no. 2, pp. 611–620, 2004. View at Publisher · View at Google Scholar · View at Scopus
- N. Savage, “Medical imagers lower the dose,” IEEE Spectrum, vol. 4, no. 3, pp. 14–16, 2010.
- R. Rangayyan, A. Prakash Dhawan, and R. Gordon, “Algorithms for limited-view computed tomography: an anotated bibliography and a challenge,” Applied Optics, vol. 24, no. 23, pp. 4000–4012, 1985. View at Scopus
- J. Velikina, S. Leng, and G. H. Chen, “Limited view angle tomographic image reconstruction via total variation minimization,” in Medical Imaging: Physics of Medical Imaging, vol. 6510 of Proceedings of SPIE, p. 20, February 2007. View at Publisher · View at Google Scholar · View at Scopus
- T. Wu, A. Stewart, M. Stanton et al., “Tomographic mammography using a limited number of low-dose cone-beam projection images,” Medical Physics, vol. 30, no. 3, pp. 365–380, 2003. View at Publisher · View at Google Scholar · View at Scopus
- P. Grangeat, “Mathematical framework of cone beam 3d reconstruction via the first derivative of the radon transform,” in Mathematical Methods in Tomography, pp. 66–97, 1991.
- D. Soimu, I. Buliev, and N. Pallikarakis, “Studies on circular isocentric cone-beam trajectories for 3D image reconstructions using FDK algorithm,” Computerized Medical Imaging and Graphics, vol. 32, no. 3, pp. 210–220, 2008. View at Publisher · View at Google Scholar · View at Scopus
- R. Gordon, R. Bender, and G. T. Herman, “Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography,” Journal of Theoretical Biology, vol. 29, no. 3, pp. 471–481, 1970. View at Scopus
- Y. Pan, R. Whitaker, A. Cheryauka, and D. Ferguson, “Tv-regularized iterative image reconstruction on a mobile c-arm ct,” vol. 7622 of Proceedings of SPIE, p. 2L, 2010.
- E. Y. Sidky, C. M. Kao, and X. Pan, “Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT,” Journal of X-Ray Science and Technology, vol. 14, no. 2, pp. 119–139, 2006. View at Scopus
- M. Lustig, D. Donoho, and J. M. Pauly, “Sparse MRI: the application of compressed sensing for rapid MR imaging,” Magnetic Resonance in Medicine, vol. 58, no. 6, pp. 1182–1195, 2007. View at Publisher · View at Google Scholar · View at Scopus
- S. Brunner, B. E. Nett, R. Tolakanahalli, and G. H. Chen, “Prior image constrained scatter correction in cone-beam computed tomography image-guided radiation therapy,” Physics in Medicine and Biology, vol. 56, no. 4, pp. 1015–1030, 2011. View at Publisher · View at Google Scholar · View at Scopus
- G. T. Herman and R. Davidi, “Image reconstruction from a small number of projections,” Inverse Problems, vol. 24, no. 4, pp. 45011–45028, 2008. View at Publisher · View at Google Scholar · View at Scopus
- J. Song, Q. H. Liu, G. A. Johnson, and C. T. Badea, “Sparseness prior based iterative image reconstruction for retrospectively gated cardiac micro-CT,” Medical Physics, vol. 34, no. 11, pp. 4476–4483, 2007. View at Publisher · View at Google Scholar · View at Scopus
- J. Tang, B. E. Nett, and G. H. Chen, “Performance comparison between total variation (TV)-based compressed sensing and statistical iterative reconstruction algorithms,” Physics in Medicine and Biology, vol. 54, no. 19, pp. 5781–5804, 2009. View at Publisher · View at Google Scholar · View at Scopus
- V. Singh, L. Mukherjee, P. M. Dinu, J. Xu, and K. R. Hoffmann, “Limited view CT reconstruction and segmentation via constrained metric labeling,” Computer Vision and Image Understanding, vol. 112, no. 1, pp. 67–80, 2008. View at Publisher · View at Google Scholar · View at Scopus
- F. Dennerlein, F. Noo, H. Schöndube, G. Lauritsch, and J. Hornegger, “A factorization approach for cone-beam reconstruction on a circular short-scan,” IEEE Transactions on Medical Imaging, vol. 27, no. 7, pp. 887–896, 2008. View at Publisher · View at Google Scholar · View at Scopus
- B. P. Medoff, W. R. Brody, M. Nassi, and A. Macovski, “Iterative convolution backprojection algorithms for image reconstruction from limited data,” Journal of the Optical Society of America, vol. 73, no. 11, pp. 1493–1500, 1983. View at Scopus
- T. G. Herman and B. L. Meyer, “Algebraic reconstruction techniques can be made computationally efficient,” IEEE Transactions on Medical Imaging, vol. 12, no. 3, pp. 600–609, 1993. View at Publisher · View at Google Scholar · View at Scopus
- F. Nattererm and F. Wübbeling, Mathematical Methods in Image Reconstruction, vol. 5, Society for Industrial Mathematics, 2001.
- V. Y. Panin, G. L. Zeng, and G. T. Gullberg, “Total variation regulated EM algorithm,” IEEE Transactions on Nuclear Science, vol. 46, no. 6, pp. 2202–2210, 1999. View at Scopus
- H. H. Barrett and K. J. Myers, Foundations of Image Science, vol. 44, Wiley-Interscience, 2004.
- B. L. Cohen, “The cancer risk from low level radiation,” in Radiation Dose from Multidetector CT, pp. 61–79, 2012.
- L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D, vol. 60, no. 1–4, pp. 259–268, 1992. View at Scopus
- E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Information Theory, vol. 52, no. 2, pp. 489–509, 2006. View at Publisher · View at Google Scholar · View at Scopus
- A. Chambolle and P. L. Lions, “Image recovery via total variation minimization and related problems,” Numerische Mathematik, vol. 76, no. 2, pp. 167–188, 1997. View at Scopus