Homomorphic Filtering of DT-MRI Fields

C. A. Castano-Moraga, C.-F. Westin, J. Ruiz-Alzola
Sixth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'03)
Pages 990-991
November, 2003

Download full paper

Abstract

DT-MRI fields measure the self-diffusion ofwater in biological tissue and, hence, tensors from these fields must be symmetric positive definite (PSD). However, due to a number of reasons this is not true for real data. Furthermore, it would be desirable to maintain that condition when tensor data are filtered. In this paper, we propose a homomorphic processing cascade that guarantees PSD tensor output.

In order to illustrate the proposed cascade performance, white Gaussian noise is added to a stationary synthetic tensor field (Fig. 1.a), which is filtered using a Wiener filter independently on each component. The output is compared with the original data to obtain an error measure. Fig (1.b) shows the output of the Wiener filter projected on PSD subspace (no homomorphic chain) and Fig (1.c) the homomorphic cascade output, using theWiener filter in the middle of the chain.

Reference

Castano-Moraga CA, Westin CF, Ruiz-Alzola J. Homomorphic filtering of DT-MRI fields. In Sixth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'03). Montreal, Canada, 2003;990-991.

Bibtex entry

@InProceedings{castano-moragaMICCAI03,
  author         = {C. A. Castano-Moraga and C.-F. Westin and J. Ruiz-Alzola}, 
  title          = {Homomorphic Filtering of {DT-MRI} Fields},                 
  booktitle      = {Sixth International Conference on Medical Image Computing  
                   and  Computer-Assisted Intervention (MICCAI'03)},           
  pages          = {990--991},                                                 
  year           = {2003},                                                     
  address        = {Montreal, Canada},                                         
  month          = {November}
}

Grants

NIH P41-RR13218 (NAC), CIMIT

Research areas

DTMRI, Tensor

Copyright Information

© Springer-Verlag (Berlin - Heidelberg - New York). Copyrights to this PDF document are held by Springer-Verlag. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the Springer-Verlag Publishing.

This material is presented electronically to ensure timely dissemination of scholarly and technical work. Certain rights are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the author and/or copyright holder.