A Bayesian Reconstruction Algorithm for Emission Tomography using a Markov Random Field Prior

1989 ◽  
Author(s):  
Tom Hebert ◽  
Richard Leahy
Keyword(s):  
Random Field ◽  
Markov Random Field ◽  
Reconstruction Algorithm ◽  
Emission Tomography ◽  
Bayesian Reconstruction ◽  
Markov Random

scholarly journals MRI Reconstruction Using Markov Random Field and Total Variation as Composite Prior

Sensors ◽  
2020 ◽  
Vol 20 (11) ◽  
pp. 3185
Author(s):  
Marko Panić ◽  
Dušan Jakovetić ◽  
Dejan Vukobratović ◽  
Vladimir Crnojević ◽  
Aleksandra Pižurica
Keyword(s):  
Random Field ◽  
Total Variation ◽  
Markov Random Field ◽  
Adaptive Estimation ◽  
A Priori ◽  
Reconstruction Algorithm ◽  
Original Data ◽  
Magnetic Resonance Images ◽  
Reconstruction Method ◽  
Markov Random

Reconstruction of magnetic resonance images (MRI) benefits from incorporating a priori knowledge about statistical dependencies among the representation coefficients. Recent results demonstrate that modeling intraband dependencies with Markov Random Field (MRF) models enable superior reconstructions compared to inter-scale models. In this paper, we develop a novel reconstruction method, which includes a composite prior based on an MRF model and Total Variation (TV). We use an anisotropic MRF model and propose an original data-driven method for the adaptive estimation of its parameters. From a Bayesian perspective, we define a new position-dependent type of regularization and derive a compact reconstruction algorithm with a novel soft-thresholding rule. Experimental results show the effectiveness of this method compared to the state of the art in the field.

Fusion Moves for Markov Random Field Optimization

2010 ◽  
Vol 32 (8) ◽  
pp. 1392-1405 ◽  
Author(s):  
Victor Lempitsky ◽  
Carsten Rother ◽  
Stefan Roth ◽  
Andrew Blake
Keyword(s):  
Random Field ◽  
Markov Random Field ◽  
Markov Random
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