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International Journal of Biomedical Imaging
Volume 2009 (2009), Article ID 125871, 3 pages
http://dx.doi.org/10.1155/2009/125871
Research Article

A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography

1Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
2Biomedical Imaging Division, VT-WFU School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, VA 24061, USA

Received 7 September 2009; Accepted 1 November 2009

Academic Editor: Guowei Wei

Copyright © 2009 Weimin Han 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

  1. C. Hamaker, K. T. Smith, D. C. Solomon, and S. L. Wagner, “The divergent beam X-ray transform,” Rocky Mountain Journal of Mathematics, vol. 10, no. 1, pp. 253–283, 1980. View at Publisher · View at Google Scholar
  2. F. Natterer, The Mathematics of Computerized Tomography, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 2001.
  3. H. Yu and G. Wang, “Compressed sensing based interior tomography,” Physics in Medicine and Biology, vol. 54, no. 9, pp. 2791–2805, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. H. Yu, J. Yang, M. Jiang, and J. Wang, “Supplemetnal analysis on compressed sensing based interior tomography,” Physics in Medicine and Biology, vol. 54, no. 18, pp. N425–N432, 2009. View at Publisher · View at Google Scholar
  5. L. C. Evans and R. F. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, Fla, USA, 1992.
  6. L. C. Evans, Partial Differential Equations, American Mathematical Society, Providence, RI, USA, 1998.