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Compressed sensing in MRI – mathematical preliminaries and basic examples Cover

Compressed sensing in MRI – mathematical preliminaries and basic examples

Open Access
|Mar 2016

References

  1. 1. Bernstein, M. A., King, K. F., & Zhou, X. J. (2004). Handbook of MRI pulse sequences. Elsevier.
  2. 2. Doneva, M., Mutapcic, A., & Lustig, M. (2011). Compressed Sensing (CS) Workshop: Basic Elements of Compressed Sensing. Ohrid.
  3. 3. Foucart, S., & Rauhut, H. (2013). A mathematical introduction to compressive sensing. Birkhauser.10.1007/978-0-8176-4948-7
  4. 4. Candès, E. J. (2008). The restricted isometry property and its implications for compressed sensing. C. R. Acad. Sci. Paris Ser. I, 346, 589–592. DOI: 10.1016/j.crma.2008.03.014.10.1016/j.crma.2008.03.014
  5. 5. Candès, E. J., & Romberg, J. (2006). Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theor., 52(2), 489–509. DOI: 10.1109/TIT.2005.862083.10.1109/TIT.2005.862083
  6. 6. Vincenti, G., Vincenti, G., Piccini, D., Monney, P., Chaptinel, J., Rutz, T., Coppo, S., Zenge, M. O., Schmidt, M., Nadar, M. S., Wang, Q., Chevre, P., Stuber, M., & Schwitter, J. (2014). Preliminary experiences with compressed sensing MultiSlice cine acquisitions for the assessment of left ventricular function: CV_sparse WIP. MAGNETOM Flash., 1, 18–26.
DOI: https://doi.org/10.1515/nuka-2016-0003 | Journal eISSN: 1508-5791 | Journal ISSN: 0029-5922
Language: English
Page range: 41 - 43
Submitted on: Jul 2, 2014
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Accepted on: Aug 5, 2015
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Published on: Mar 17, 2016
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2016 Łukasz Błaszczyk, published by Institute of Nuclear Chemistry and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.