A Novel Gauss-Markov Random Field Approach for Regularization of Diffusion Tensor Maps

M. Martin-Fernandez, R. San Jose Estepar, C.-F. Westin, C. Alberola-Lopez
Ninth International Conference on Computer Aided Systems Theory (EUROCAST'03), Lecture Notes in Computer Science 2809
Pages 506-517
February 24-28, 2003

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Abstract

In this paper we propose a novel Gaussian MRF approach for regularization of tensor fields for fiber tract enhancement. The model follows the Bayesian paradigm: prior and transition. Both models are given by Gaussian distributions. The prior and the posterior distributions are Gauss-MRFs. The prior MRF promotes local spatial interactions. The posterior MRF promotes that local spatial interactions which are compatible with the observed data. All the parameters of the model are estimated directly from the data. The regularized solution is given by means of the Simulated Annealing algorithm. Two measures of regularization are proposed for quantifying the results. A complete volume DR-MRI data have been processed with the current approach. Some results are presented by using some visually meaningful tensor representations and quantitatively assessed by the proposed measures of regularization.

For slice number 20: (a) original Frobenius norm image, (b) regularized Frobenius norm image, (c) original color-coded image, and (d) regularized color-coded image.

Reference

Martin-Fernandez M, San Jose Estepar R, Westin CF, Alberola-Lopez C. A novel gauss-markov random field approach for regularization of diffusion tensor maps. In R Moreno-Diaz, F Pichler, eds., Ninth International Conference on Computer Aided Systems Theory (EUROCAST'03), Lecture Notes in Computer Science 2809. Las Palmas de Gran Canaria, Spain: Springer Verlag, 2003;506-517.

Bibtex entry

@InProceedings{martin-fernandezEUROCAST03,
  author         = {M. Martin-Fernandez and R. {San Jose Estepar} and  C.-F.   
                   Westin and C. Alberola-Lopez},                              
  title          = {A Novel Gauss-Markov Random Field Approach for             
                   Regularization of  Diffusion Tensor Maps},                  
  editor         = {R. Moreno-Diaz and F. Pichler},                            
  booktitle      = {Ninth International Conference on Computer Aided Systems   
                   Theory (EUROCAST'03), Lecture Notes in Computer Science     
                   2809},                                                      
  pages          = {506--517},                                                 
  month          = {February 24--28},                                          
  year           = {2003},                                                     
  address        = {Las Palmas de Gran Canaria, Spain},                        
  publisher      = {Springer Verlag},                                          
  note           = {}
}

Grants

TIC2001-3808-C02, NIH P41-RR13218 (NAC), CIMIT

Research areas

DTMRI, Tensor

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