Reconstruction of dynamic PET data using spatio-temporal wavelet l(1) regularization

Annu Int Conf IEEE Eng Med Biol Soc. 2007:2007:6540-43. doi: 10.1109/IEMBS.2007.4353858.

Abstract

Tomographic reconstruction from PET data is an ill-posed problem that requires regularization. Recently, Daubechies et al. [1] proposed an l (1) regularization of the wavelet coefficients that can be optimized using iterative thresholding schemes. In this paper, we extend this approach for the reconstruction of dynamic (spatio-temporal) PET data. Instead of using classical wavelets in the temporal dimension, we introduce exponential-spline wavelets that are specially tailored to model time activity curves (TACs) in PET. We show the usefulness of spatio-temporal regularization and the superior performance of E-spline wavelets over conventional Battle-Lemarié wavelets for a 1-D TAC fitting experiment and a tomographic reconstruction experiment.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Image Processing, Computer-Assisted*
  • Myocardium
  • Phantoms, Imaging
  • Positron-Emission Tomography*