Complex singular value decomposition based noise reduction of dynamic pet images

David S. Wack, Rajendra D. Badgaiyan

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Individual images in dynamic molecular imaging studies are noisy because of short duration of frames. To reduce noise in these studies we used a method that employed the Hilbert transform and Singular Value Decomposition (SVD) processing. Use of this method, which we call the Complex Singular Value Decomposition (CSVD), significantly reduces noise while preserving signal intensity of dynamic images. Further, we used simulations to examine the effect of CSVD processing on estimates of receptor kinetic parameters. We found a significant reduction in variance when CSVD processing was applied to images that had Gaussian noise added to the signal. The signals were preserved even after adding noise, thus the simulations revealed that noise reduction was not at the cost of relevant signal. It therefore appears that CSVD processing can be used in dynamic molecular imaging and other similar studies to reduce noise and improve signal quality.

Original languageEnglish (US)
Pages (from-to)113-117
Number of pages5
JournalCurrent Medical Imaging Reviews
Issue number2
StatePublished - Jun 2011
Externally publishedYes


  • Complex singular value decomposition (CSVD)
  • Dopamine
  • Dynamic pet
  • Molecular imaging
  • Noise reduction
  • Raclopride
  • Singular value decomposition (SVD)

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging


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