Abstract
The diffusion-weighted magnetic resonance imaging (DW-MRI) has been used to diagnose anomalies in human brain by describing the magnitude and directionality of water diffusion per voxel. Such information can be represented alternatively in diffusion tensor imaging (DT-MRI), yielding images of normal and abnormal white matter fiber structures, and maps of brain connectivity through fiber tracking. A DW-MRI study is usually characterized by a low signal to noise ratio, which may reflect in the poor estimation of DT-MRI. Filters based on local similarity have been receiving increasing attention, but they have been barely studied for DT-MRI. In this proposal we introduce adaptive and optimized filtering techniques based on local similarity for MRI to remove the biasing in both DW-MRI filtering and DT-MRI estimation, evidencing a better performance respect to classical filters and robust DT estimation algorithms. We estimate the DT-MRI extracting metrics computed from the DT to evaluate the filtering performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
The robust estimation of tensors by outlier rejection (RESTORE), uses iteratively reweighted least-squares regression to identify potential outliers and exclude them. Available on http://nipy.org/dipy/examples_built/restore_dti.html.
- 2.
Dataset used by Leigh Morrow et al. from a 3-Tesla Siemens Trio. Available at http://www.cabiatl.com/CABI/resources/dti-analysis/.
- 3.
References
Manjón, J.V., Coupé, P., Martí-Bonmatí, L., Collins, D.L., Robles, M.: Adaptive non-local means denoising of MR images with spatially varying noise levels. J. Magn. Reson. Imaging 31(1), 192–203 (2010)
Manjón, J.V., Coupé, P., Concha, L., Buades, A., Collins, D.L., Robles, M.: Diffusion weighted image denoising using overcomplete local PCA. PLoS ONE 8(9), 1–12 (2013)
Butson, C.R., Cooper, S.E., Henderson, J.M., Wolgamuth, B., McIntyre, C.C.: Probabilistic analysis of activation volumes generated during deep brain stimulation. NeuroImage 54(3), 2096–2104 (2011)
Lee, J.E., Chung, M.K., Alexander, A.L.: Evaluation of anisotropic filters for diffusion tensor imaging. In: ISBI, pp. 77–78. IEEE (2006)
Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629–639 (1990)
Manjón, J.V., Coupé, P., Buades, A., Louis Collins, D., Robles, M.: New methods for MRI denoising based on sparseness and self-similarity. Med. Image Anal. 16(1), 18–27 (2012)
Buades, A., Coll, B., Morel, J.M.: A non-local algorithm for image denoising. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition. In: CVPR 2005, vol. 2, pp. 60–65, June 2005
Wiest-Daesslé, N., Prima, S., Coupé, P., Morrissey, S.P., Barillot, C.: Rician noise removal by non-local means filtering for low signal-to-noise ratio MRI: applications to DT-MRI. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part II. LNCS, vol. 5242, pp. 171–179. Springer, Heidelberg (2008)
Guleryuz, O.: Weighted averaging for denoising with overcomplete dictionaries. IEEE Trans. Image Process. 16(12), 3020–3034 (2007)
Coupé, P., Manjón, J.V., Gedamu, E., Arnold, D., Robles, M., Collins, D.L.: Robust rician noise estimation for MR images. Med. Image Anal. 14(4), 483–493 (2010)
Phillip, K.P., Wei-Ren, Ng., Varun, S.: Image denoising with singular value decomposition and principal component analysis. The University of Arizona, pp. 1–29 (2009). http://www.u.arizona.edu/~ppoon/ImageDenoisingWithSVD.pdf
Niethammer, M., Estepar, R., Bouix, S., Shenton, M., Westin, C.F.: On diffusion tensor estimation. In: EMBS 2006, pp. 2622–2625, August 2006
Stejskal, E.O., Tanner, J.E.: Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 42(1), 288–292 (1965)
Barmpoutis, A.: Tutorial on Diffusion Tensor MRI using Matlab. University of Florida (2010)
Chang, L.C., Jones, D.K., Pierpaoli, C.: Restore: Robust estimation of tensors by outlier rejection. Magn. Reson. Med. 53, 1088–1095 (2005)
Acknowledgment
This work was funded by COLCIENCIAS under the project 1110-569-34461. Authors were also supported by the 617 agreement, “Jóvenes Investigadores e Innovadores”, funded by COLCIENCIAS. Finally, the authors are thankful to the research group in Automática ascribed to the engineering program at the Universidad Tecnológica de Pereira, and M.Sc. H.F. García for technical support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
López-Lopera, A.F., Álvarez, M.A., Orozco, Á.Á. (2015). Improving Diffusion Tensor Estimation Using Adaptive and Optimized Filtering Based on Local Similarity. In: Paredes, R., Cardoso, J., Pardo, X. (eds) Pattern Recognition and Image Analysis. IbPRIA 2015. Lecture Notes in Computer Science(), vol 9117. Springer, Cham. https://doi.org/10.1007/978-3-319-19390-8_69
Download citation
DOI: https://doi.org/10.1007/978-3-319-19390-8_69
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19389-2
Online ISBN: 978-3-319-19390-8
eBook Packages: Computer ScienceComputer Science (R0)