Abstract
Denoising and interpolation of primary vector fields in DT-MRI are essential for tracking myocardial fibers of the human heart. In this paper, a noise-reduced interpolation method for 3-D primary vector fields in human cardiac DT-MRI is proposed. The method consists of first localizing the noise-corrupted vectors using local statistical properties of the vector fields, then restoring the noise-corrupted vectors by means of Thin Plate Spline (TPS) interpolation method, and finally applying a global TPS interpolation to gain higher resolution in the spatial domain. Experiments and results show that the proposed method allows us to obtain higher resolution and reduce noise, while improving direction-coherence (DC) of vector fields, preserving details, and improving fiber tracking.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Moseley, M.E., Cohen, Y., Mintorovitch, J., Kucharczyk, J., Weinstein, P.R.: Early Detection of Regional Cerebral Ischemia: Comparison of Diffusion and T2-weighted MRI and Spectroscopy. Magn. Reson. Med. 14, 330–336 (1990)
Basser, P.J., Pajevic, S.: Statistical Artifacts in Diffusion Tensor MRI (DTMRI) Caused by Background Noise. Magn. Reson. Med. 44, 41–50 (2000)
Astola, J., Haavisto, P., Neuvo, Y.: Vector Median Filters. Proceeding of the IEEE, 678–689 (1990)
Viero, T., Oistamo, K., Neuvo, Y.: Three-dimensional Median-Related Filters for Color Image Sequence Filtering. IEEE Transactions on Circuits and Systems for Video Technology 15, 129–142 (1994)
Trahanias, P., Karakos, D., Venetsanopoulos, A.: Directional Processing of Color Images: Theory and Experimental Results. IEEE Transactions on Image Processing 5, 868–881 (1996)
Tschumperlé, D., Deriche, R.: Vector-valued Image Regularization with PDE’s: A Common Framework for Different Applications. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 651–656 (2003)
Yoruk, E., Acar, B.: Structure Preserving Regularization of DT-MRI Vector Fields by Nonlinear Anisotropic Diffusion Filtering. In: Proceedings of European Signal Processing Conference (EUSIPCO), Antalya, Turkey (2005)
Coulon, O., Alexander, D.C., Arridge, S.R.: Diffusion Tensor Magnetic Resonance Image Regularisation. Medical Image Analysis 8, 47–67 (2004)
Cathier, P., Ayache, N.: Isotropic Energies, Filters and Splines for Vector Field Regularization. J. Mathematical Imaging and Vision 20, 251–265 (2004)
Zhao, X., Wang, M.S., Gao, W., Liu, H.Y.: White Matter Fiber Tracking Method by Vector Interpolation with Diffusion Tensor Imaging Data in Human Brain. IEEE Engineering in Medicine and Biology Society (2005)
Kim, K.H., Ronne, I., Formisano, E., Goebel, R., Ugurbil, K., Kim, D.S.: Robust Fiber Tracking Method by Vector Selection Criterion in Diffusion Tensor Images. IEEE Engineering in Medicine and Biology Society, 1080–1083 (2004)
Davis, M.H., Khotanzand, A., Flaming, D.P., Harms, S.E.: A Physics-based Coordinate Transformation for 3-D image Matching. IEEE Transactions on Medical Imaging 16, 317–328 (1997)
Bookstein, F.L.: Principal Warps: Thin-plate Splines and Decomposition of Deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence 11, 567–585 (1989)
Sprengel, R., Rohr, K., Stiehl, H.S.: Thin-plate Spline Approximation for Image Registration. In: Engineering in Medicine and Biology Society, Bridging Disciplines for Biomedicine. Proceedings of the 18th Annual International Conference of the IEEE, pp. 1190–1191 (1996)
Holmes, A.A., Scollan, D., Winslow, R.L.: Direct histological validation of diffusion tensor MRI in formaldehyde-fixed myocardium. Magnetic Resonance in Medicine 44, 157–161 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, F., Song, X., Rapacchi, S., Fanton, L., Croisille, P., Zhu, YM. (2009). Noise-Reduced TPS Interpolation of Primary Vector Fields for Fiber Tracking in Human Cardiac DT-MRI. In: Ayache, N., Delingette, H., Sermesant, M. (eds) Functional Imaging and Modeling of the Heart. FIMH 2009. Lecture Notes in Computer Science, vol 5528. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01932-6_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-01932-6_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01931-9
Online ISBN: 978-3-642-01932-6
eBook Packages: Computer ScienceComputer Science (R0)