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Abstract #3417

Partial discreteness: a new type of prior knowledge for MRI reconstruction

Gabriel Ramos-Llordn 1 , Hilde Segers 1 , Willem Jan Palenstijn 1 , Arnold J. den Dekker 1,2 , and Jan Sijbers 1

1 iMinds Vision-Lab, University of Antwerp, Antwerp, Antwerp, Belgium, 2 Delft Center for Systems and Control, Delft University of Technology, Delft, Netherlands

In MRI reconstruction, undersampled data sets lead to ill-posed reconstruction problems. To regularize these problems, prior knowledge is commonly exploited. In this work, we introduce a new type of prior knowledge, partial discreteness, where part of the image is assumed to be homogeneous and can be well represented by a constant magnitude. We introduce this prior in the common algebraic reconstruction problem and propose an iterative algorithm to approximately solve it. It combines a penalized least squares reconstruction with an internal Bayesian segmentation. Results with synthetic data demonstrate that more detailedly restored images are obtained when partial discreteness is exploited

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