Compressive sensing MRI with laplacian sparsifying transform

Ying Dong, Jim Ji

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

7 Citations (Scopus)

Abstract

Compressive sensing (CS) is an emerging technique to speed up the data acquisition in MRI. CS relies on the sparsity constraint of the underlying image. Currently total variation (TV) is being used ubiquitously in CS-MRI as a sparsity measurement. TV is based on the first-order difference, which works well for piece-wise constant images. In this paper, a sparsifying transform based on the second-order difference (SD), i.e., Laplacian (LP) filters, is introduced as an alternative to the first-order difference. The new transform compresses MR image signals better than in the conventional TV framework. Therefore it is expected to enable improved CS reconstruction, particularly for images that are not piece-wise constant such as those acquired with nonuniform B1 sensitivities. Both simulated and experimental images are applied to the TV minimization and the proposed method. The result shows that the proposed method has potentials to improve the CS reconstruction. However, Laplacian appears to be more sensitive to noise than TV.

Original languageEnglish
Title of host publication2011 8th IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro, ISBI'11
Pages81-84
Number of pages4
DOIs
Publication statusPublished - 2 Nov 2011
Event2011 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI'11 - Chicago, IL, United States
Duration: 30 Mar 20112 Apr 2011

Publication series

NameProceedings - International Symposium on Biomedical Imaging
ISSN (Print)1945-7928
ISSN (Electronic)1945-8452

Other

Other2011 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI'11
CountryUnited States
CityChicago, IL
Period30/3/112/4/11

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Keywords

  • B inhomogenity
  • Compressive sensing
  • coil sensitivity
  • second-order difference
  • total variation

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging

Cite this

Dong, Y., & Ji, J. (2011). Compressive sensing MRI with laplacian sparsifying transform. In 2011 8th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI'11 (pp. 81-84). [5872359] (Proceedings - International Symposium on Biomedical Imaging). https://doi.org/10.1109/ISBI.2011.5872359