An Efficient Numerical Method for General Lp Regularization in Fluorescence Molecular Tomography

Abstract--Reconstruction algorithms for fluorescence tomography have to address two crucial issues : (i) the ill-posedness of the reconstruction problem, (ii) the large scale of numerical problems arising from imaging of three dimensional samples. Our contribution is the design and implementation of a reconstruction algorithm that incorporates general Lp regularization (p 1). The originality of this work lies in the application of general Lp constraints to fluorescence tomography, combined with an efficient matrix-free strategy that enables the algorithm to deal with large reconstruction problems at reduced memory and computational costs. In the experimental part, we specialize the application of the algorithm to the case of sparsity promoting constraints (L1). We validate the adequacy of L1 regularization for the investigation of phenomena that are well described by a sparse model, using data acquired during phantom experiments. 1

• Type: Journal
• Year: 2010
• Where: TMI
• Authors: Jean-Charles Baritaux, Kai Hassler, Michael Unser
• Keywords: Algorithm, Management, Reconstruction Algorithm, Reconstruction Problems, TMI 2010