Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation

Rik De Van Walle, Harrison H Barrett, Kyle J. Myers, Maria I Altbach, Bart Desplanques, Arthur F Gmitro, Jan Cornells, Ignace Lemahieu

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

A minimum-norm least-squares image-reconstruction method for the reconstruction of magnetic resonance images from non-Cartesian sampled data is proposed. The method is based on a general formalism for continuous-to-discrete mapping and pseudoinverse calculation. It does not involve any regridding or interpolation of the data and therefore the methodology differs fundamentally from existing regridding-based methods. Moreover, the method uses a continuous representation of objects in the image domain instead of a discretized representation. Simulations and experiments show the possibilities of the method in both radial and spiral imaging. Simulations revealed that minimum-norm least-squares image reconstruction can result in a drastic decrease of artifacts compared with regridding-based reconstruction. Besides, both in vivo and phantom experiments showed that minimum-norm least-squares image reconstruction leads to contrast improvement and increased signal-to-noise ratio compared with image reconstruction based on regridding. As an appendix, an analytical calculation of the raw data corresponding to the well-known Shepp and Logan software head phantom is presented.

Original languageEnglish (US)
Pages (from-to)1160-1167
Number of pages8
JournalIEEE Transactions on Medical Imaging
Volume19
Issue number12
StatePublished - 2000

Fingerprint

Computer-Assisted Image Processing
Image reconstruction
Least-Squares Analysis
Magnetic resonance
Signal-To-Noise Ratio
Signal to noise ratio
Interpolation
Experiments
Artifacts
Imaging techniques
Magnetic Resonance Spectroscopy
Software
Head

Keywords

  • Generalized reconstruction
  • Magnetic resonance imaging
  • Medical imaging
  • Pseudoinverse image reconstruction

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology
  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation. / Van Walle, Rik De; Barrett, Harrison H; Myers, Kyle J.; Altbach, Maria I; Desplanques, Bart; Gmitro, Arthur F; Cornells, Jan; Lemahieu, Ignace.

In: IEEE Transactions on Medical Imaging, Vol. 19, No. 12, 2000, p. 1160-1167.

Research output: Contribution to journalArticle

Van Walle, Rik De ; Barrett, Harrison H ; Myers, Kyle J. ; Altbach, Maria I ; Desplanques, Bart ; Gmitro, Arthur F ; Cornells, Jan ; Lemahieu, Ignace. / Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation. In: IEEE Transactions on Medical Imaging. 2000 ; Vol. 19, No. 12. pp. 1160-1167.
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