Denoising of MR spectroscopic imaging data using statistical selection of principal components

MAGMA. 2016 Dec;29(6):811-822. doi: 10.1007/s10334-016-0566-z. Epub 2016 Jun 3.

Abstract

Objectives: To evaluate a new denoising method for MR spectroscopic imaging (MRSI) data based on selection of signal-related principal components (SSPCs) from principal components analysis (PCA).

Materials and methods: A PCA-based method was implemented for selection of signal-related PCs and denoising achieved by reconstructing the original data set utilizing only these PCs. Performance was evaluated using simulated MRSI data and two volumetric in vivo MRSIs of human brain, from a normal subject and a patient with a brain tumor, using variable signal-to-noise ratios (SNRs), metabolite peak areas, Cramer-Rao bounds (CRBs) of fitted metabolite peak areas and metabolite linewidth.

Results: In simulated data, SSPC determined the correct number of signal-related PCs. For in vivo studies, the SSPC denoising resulted in improved SNRs and reduced metabolite quantification uncertainty compared to the original data and two other methods for denoising. The method also performed very well in preserving the spectral linewidth and peak areas. However, this method performs better for regions that have larger numbers of similar spectra.

Conclusion: The proposed SSPC denoising improved the SNR and metabolite quantification uncertainty in MRSI, with minimal compromise of the spectral information, and can result in increased accuracy.

Keywords: Low-rank denoising; MRSI denoising; PCA denoising; SVD denoising; Spectral analysis.

MeSH terms

  • Algorithms
  • Brain / diagnostic imaging
  • Brain / metabolism
  • Brain / physiopathology
  • Brain Neoplasms / diagnostic imaging
  • Brain Neoplasms / physiopathology
  • Computer Simulation
  • Humans
  • Image Processing, Computer-Assisted
  • Magnetic Resonance Spectroscopy*
  • Models, Theoretical
  • Principal Component Analysis
  • Reproducibility of Results
  • Signal Processing, Computer-Assisted
  • Signal-To-Noise Ratio