Abstract
In this paper we present a novel method for multi-fiber reconstruction given a diffusion-weighted MRI dataset. There are several existing methods that employ various spherical deconvolution kernels for achieving this task. However the kernels in all of the existing methods rely on certain assumptions regarding the properties of the underlying fibers, which introduce inaccuracies and unnatural limitations in them. Our model is a non trivial generalization of the spherical deconvolution model, which unlike the existing methods does not make use of a fix-shaped kernel. Instead, the shape of the kernel is estimated simultaneously with the rest of the unknown parameters by employing a general adaptive model that can theoretically approximate any spherical deconvolution kernel. The performance of our model is demonstrated using simulated and real diffusion-weighed MR datasets and compared quantitatively with several existing techniques in literature. The results obtained indicate that our model has superior performance that is close to the theoretic limit of the best possible achievable result.
This research was supported by the NIH grant EB007082 to Baba Vemuri and funding for data acquisition was provided by the NIH grant P41-RR16105 to Stephen Blackband. Authors thank Drs. Timothy M. Shepherd and Evren Özarslan for data acquisition. Implementation is available at http://www.cise.ufl.edu/research/cvgmi.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
LeBihan, D., et al.: MR imaging of intravoxel incoherent motions: Application to diffusion and perfusion in neurologic disorders. Radiology 161, 401–407 (1986)
Basser, P.J., et al.: Estimation of the effective self-diffusion tensor from the NMR spin echo. J. Magn. Reson. B 103, 247–254 (1994)
Frank, L.: Characterization of Anisotropy in High Angular Resolution Diffusion Weighted MRI. Magn. Reson. Med. 47(6), 1083–1099 (2002)
Alexander, D.C., et al.: Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain. MRM 48(2), 331–340 (2002)
von dem Hagen, E.A.H., Henkelman, R.M.: Orientational diffusion reflects fiber structure within a voxel. Magn. Reson. Med. 48(3), 454–459 (2002)
Tuch, D.S., et al.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. MRM 48(4), 577–582 (2002)
Barmpoutis, A., et al.: Symmetric positive 4th order tensors and their estimation from diffusion weighted MRI. In: Karssemeijer, N., Lelieveldt, B. (eds.) IPMI 2007. LNCS, vol. 4584, pp. 308–319. Springer, Heidelberg (2007)
Özarslan, E., et al.: Resolution of complex tissue microarchitecture using the diffusion orientation transform. NeuroImage 36(3), 1086–1103 (2006)
Zhan, W., Yang, Y.: How accurately can the diffusion profiles indicate multiple fiber orientations? a study on general fiber crossings in diffusion MRI. Journal of Magnetic Resonance 183(2), 193–202 (2006)
Wedeen, V.J., et al.: Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. MRM 54(6), 1377–1386 (2005)
Tuch, D.S.: Q-ball imaging. Magn. Reson. Med. 52(6), 1358–1372 (2004)
Anderson, A.W.: Measurement of fiber orientation distributions using high angular resolution diffusion imaging. MRM 54(5), 1194–1206 (2005)
Hess, C.P., et al.: Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis. MRM 56(1), 104–117 (2006)
Descoteaux, M., Angelino, E., Fitzgibbons, S., Deriche, R.: Regularized, fast and robust analytical q-ball imaging. MRM 58, 497–510 (2007)
Behrens, T., et al.: Characterization and propagation of uncertainty in diffusion-weighted MR imaging. Magn. Reson. Med. 50(2), 1077–1088 (2003)
Assaf, Y., et al.: New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter. MRM 52(5), 965–978 (2004)
Hosey, T.P., et al.: Inference of multiple fiber orientations in high angular resolution diffusion imaging. MRM 54(6), 1480–1489 (2005)
Behrens, T., et al.: Probabilistic tractography with multiple fibre orientations: What can we gain? NeuroImage 34, 144–155 (2007)
Tournier, J.D., Calamante, F., Gadian, D.G., Connelly, A.: Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23(3), 1176–1185 (2004)
Jian, B., et al.: A novel tensor distribution model for the diffusion weighted MR signal. NeuroImage 37(1), 164–176 (2007)
Ramirez-Manzanares, A., et al.: Diffusion basis functions decomposition for estimating white matter intravoxel fiber geometry. IEEE Trans. Med. Imaging 26(8), 1091–1102 (2007)
Kumar, R., et al.: Multi-fiber reconstruction from DW-MRI using a continuous mixture of von mises-fisher distributions. In: MMBIA (2008)
Rathi, Y., Michailovich, O., Bouix, S., Shenton, M.: Directional functions for orientation distribution estimation. In: ISBI, pp. 927–930 (2008)
Jian, B., Vemuri, B.C.: A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI. IEEE Trans. Med. Imaging 26(11), 1464–1471 (2007)
Söderman, O., Jönsson, B.: Restricted diffusion in cylindirical geometry. J. Magn. Reson. B 117(1), 94–97 (1995)
Lawson, C.L., Hanson, R.J.: Solving Least Squares Problems. Prentice-Hall, Englewood Cliffs (1974)
Shepherd, T.M., et al.: Structural insights from high-resolution diffusion tensor imaging and tractography of the isolated rat hippocampus. NeuroImage 32(4), 1499–1509 (2006)
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
Barmpoutis, A., Jian, B., Vemuri, B.C. (2009). Adaptive Kernels for Multi-fiber Reconstruction. In: Prince, J.L., Pham, D.L., Myers, K.J. (eds) Information Processing in Medical Imaging. IPMI 2009. Lecture Notes in Computer Science, vol 5636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02498-6_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-02498-6_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02497-9
Online ISBN: 978-3-642-02498-6
eBook Packages: Computer ScienceComputer Science (R0)