Sparse MRI reconstruction via multiscale L0-continuation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Scopus citations

Abstract

"Compressed Sensing" and related L1-minimization methods for reconstructing sparse magnetic resonance images (MRI) acquired at sub-Nyquist rates have shown great potential for dramatically reducing exam duration. Nonetheless, the nontriviality of numerical implementation and computational intensity of these reconstruction algorithms has thus far precluded their widespread use in clinical practice. In this work, we propose a novel MRI reconstruction framework based on homotopy continuation of the L 0 semi-norm using redescending M-estimator functions. Following analysis of the continuation scheme, the sparsity measure is extended to multiscale form and a simple numerical solver that can achieve accurate reconstructions in a matter of seconds on a standard desktop computer is presented.

Original languageEnglish (US)
Title of host publication2007 IEEE/SP 14th Workshop on Statistical Signal Processing, SSP 2007, Proceedings
Pages176-180
Number of pages5
DOIs
StatePublished - Dec 1 2007
Event2007 IEEE/SP 14th WorkShoP on Statistical Signal Processing, SSP 2007 - Madison, WI, United States
Duration: Aug 26 2007Aug 29 2007

Publication series

NameIEEE Workshop on Statistical Signal Processing Proceedings

Other

Other2007 IEEE/SP 14th WorkShoP on Statistical Signal Processing, SSP 2007
CountryUnited States
CityMadison, WI
Period8/26/078/29/07

Keywords

  • Homotopy
  • L- minimization
  • Magnetic resonance imaging
  • Sparse reconstruction

ASJC Scopus subject areas

  • Signal Processing

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    Trzasko, J., Manduca, A., & Borisch, E. (2007). Sparse MRI reconstruction via multiscale L0-continuation. In 2007 IEEE/SP 14th Workshop on Statistical Signal Processing, SSP 2007, Proceedings (pp. 176-180). [4301242] (IEEE Workshop on Statistical Signal Processing Proceedings). https://doi.org/10.1109/SSP.2007.4301242