Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Iterative methods for total variation denoising
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Iterative image restoration using approximate inverse preconditioning
IEEE Transactions on Image Processing
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
Fast, robust total variation-based reconstruction of noisy, blurred images
IEEE Transactions on Image Processing
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We describe a parallel software for three-dimensional single photon emission computed tomography (SPECT) imaging. The software has been developed within a multi-disciplinary research activity aimed at improving both the mathematical models and the processing time in nuclear medicine. The numerical algorithm implements an edge-preserving regularization approach based on the total variation seminorm for solving the inverse and ill-posed problem describing the SPECT image reconstruction problem. The parallel software has been tested on a low-cost implementation of a parallel architecture made up of a Linux cluster (Beowulf). The proposed approach is compatible with diagnostic times in terms of availability of the results in a suitable turnaround time and of the overall cost of the system infrastructure.