title: Reconstruction of dynamic PET data using spatio-temporal wavelet l(1) regularization.
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.
authors.affiliation: ELIS-MEDISIP, Ghent University, Sint Pietersnieuwstraat 41, 9000 Ghent, Belgium. jeroen.verhaeghe@ugent.be
authors.forename: Jeroen
authors.initials: J
authors.lastname: Verhaeghe
authors.forename: Dimitri
authors.initials: D
authors.lastname: Van De Ville
authors.forename: Ildar
authors.initials: I
authors.lastname: Khalidov
authors.forename: Michael
authors.initials: M
authors.lastname: Unser
authors.forename: Yves
authors.initials: Y
authors.lastname: D'Asseler
authors.forename: Ignace
authors.initials: I
authors.lastname: Lemahieu
mesh_terms: D007091:Image Processing, Computer-Assisted; D009206:Myocardium; D019047:Phantoms, Imaging; D049268:Positron-Emission Tomography