Reconstruction of dynamic PET data using spatio-temporal wavelet l(1) regularizationReconstruction of dynamic PET data using spatio-temporal wavelet l(1) regularization
Faculty of Medicine and Health Sciences
2007New York (N.Y.) :IEEE, 2007
Engineering sciences. Technology
Proceedings of the ... Annual international conference of the IEEE engineering in medicine and biology society. - New York (N.Y.)
(2007), p. 6540-6543
Tomographic reconstruction from PET data is an W-posed problem that requires regularization. Recently, Daubechies et al.  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-Lemarie wavelets for a 1-D TAC fitting experiment and a tomographic reconstruction experiment.