Skip to main content

2016 | OriginalPaper | Buchkapitel

Probabilistic Tractography Using Particle Filtering and Clustered Directional Data

verfasst von : Adelino R. Ferreira da Silva

Erschienen in: Advances in Neurotechnology, Electronics and Informatics

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The approach of using deterministic methods to trace white-matter fiber tracts through the brain and map brain connectivity is pervasive in currently followed tractographic methodologies. However, using deterministic procedures to support fiber mapping jeopardizes rigorous fiber tractography and may originate deficient maps of white matter fiber networks. We propose a new probabilistic framework for modeling fiber-orientation uncertainty and improve probabilistic tractography. A probabilistic methodology is proposed for estimating intravoxel principal fiber directions, based on clustering directional data arising from orientation distribution function profiles. Mixtures of von Mises-Fisher (vMF) distributions are used to support the probabilistic estimation of intravoxel fiber directions. The fitted parameters of the clustered vMF mixture at each voxel are then used to estimate white-matter pathways using particle filtering techniques. The proposed method is validated on synthetic simulations, as well as on real data experiments. The method holds promise to support robust tractographic methodologies, and build realistic models of white matter tracts in the human brain.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Tuch, D.S., Reese, T.G., Wiegell, M.R., Makris, N., Belliveau, J.W., Wedeen, V.J.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn. Reson. Med. 48, 577–582 (2002)CrossRef Tuch, D.S., Reese, T.G., Wiegell, M.R., Makris, N., Belliveau, J.W., Wedeen, V.J.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn. Reson. Med. 48, 577–582 (2002)CrossRef
2.
Zurück zum Zitat Behrens, T.E.J., Berg, H.J., Jbabdi, S., Rushworth, M.F.S., Woolrich, M.W.: Probabilistic diffusion tractography with multiple fibre orientations: what can we gain? NeuroImage 34, 144–155 (2007)CrossRef Behrens, T.E.J., Berg, H.J., Jbabdi, S., Rushworth, M.F.S., Woolrich, M.W.: Probabilistic diffusion tractography with multiple fibre orientations: what can we gain? NeuroImage 34, 144–155 (2007)CrossRef
3.
Zurück zum Zitat Assaf, Y., Basser, P.J.: Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain. NeuroImage 27, 48–58 (2005)CrossRef Assaf, Y., Basser, P.J.: Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain. NeuroImage 27, 48–58 (2005)CrossRef
4.
Zurück zum Zitat Seunarine, K.K., Alexander, D.C.: Multiple fibres: beyond the diffusion tensor. In Johansen-Berg, H., Behrens, T.E.J. (eds.) Diffusion MRI: from quantitative measurement to in vivo neuroanatomy. Academic Press, Amsterdam (2009) 56–74 Seunarine, K.K., Alexander, D.C.: Multiple fibres: beyond the diffusion tensor. In Johansen-Berg, H., Behrens, T.E.J. (eds.) Diffusion MRI: from quantitative measurement to in vivo neuroanatomy. Academic Press, Amsterdam (2009) 56–74
5.
Zurück zum Zitat Wedeen, V.J., Hagmann, P., Tseng, W.Y.I., Reese, T.G., Weisskoff, R.M.: Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magn. Reson. Med. 54, 1377–1386 (2005)CrossRef Wedeen, V.J., Hagmann, P., Tseng, W.Y.I., Reese, T.G., Weisskoff, R.M.: Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magn. Reson. Med. 54, 1377–1386 (2005)CrossRef
6.
Zurück zum Zitat Yeh, F.C., Wedeen, V.J., Tseng, W.Y.I.: Generalized q-sampling imaging. IEEE Trans. Med. Imaging 29, 1626–1635 (2010)CrossRef Yeh, F.C., Wedeen, V.J., Tseng, W.Y.I.: Generalized q-sampling imaging. IEEE Trans. Med. Imaging 29, 1626–1635 (2010)CrossRef
7.
Zurück zum Zitat Seunarine, K.K., Cook, P.A., Hall, M.G., Embleton, K.V., Parker, G.J.M., Alexander, D.C.: Exploiting peak anisotropy for tracking through complex structures. In: Proceedings of 11th IEEE International Conference on Computer Vision Workshop on MMBIA, Rio de Janeiro (2007) Seunarine, K.K., Cook, P.A., Hall, M.G., Embleton, K.V., Parker, G.J.M., Alexander, D.C.: Exploiting peak anisotropy for tracking through complex structures. In: Proceedings of 11th IEEE International Conference on Computer Vision Workshop on MMBIA, Rio de Janeiro (2007)
8.
Zurück zum Zitat Parker, G., Alexander, D.: Probabilistic Monte Carlo based mapping of cerebral connections utilising whole-brain crossing fiber information. In: Proceedings of IPMI, pp. 684–695 (2003) Parker, G., Alexander, D.: Probabilistic Monte Carlo based mapping of cerebral connections utilising whole-brain crossing fiber information. In: Proceedings of IPMI, pp. 684–695 (2003)
9.
10.
Zurück zum Zitat Zhang, F., Hancock, E.R., Goodlett, C., Gerig, G.: Probabilistic white matter fiber tracking using particle filtering and von Mises-Fisher sampling. Med. Image Anal. 13, 5–18 (2009)CrossRef Zhang, F., Hancock, E.R., Goodlett, C., Gerig, G.: Probabilistic white matter fiber tracking using particle filtering and von Mises-Fisher sampling. Med. Image Anal. 13, 5–18 (2009)CrossRef
11.
Zurück zum Zitat Pontabry, J., Rousseau, F., Oubel, E., Studholme, C., Koob, M., Dietemann, J.L.: Probabilistic tractography using Q-ball imaging and particle filtering: application to adult and in-utero fetal brain studies. Med. Image Anal. 17, 297–310 (2013)CrossRef Pontabry, J., Rousseau, F., Oubel, E., Studholme, C., Koob, M., Dietemann, J.L.: Probabilistic tractography using Q-ball imaging and particle filtering: application to adult and in-utero fetal brain studies. Med. Image Anal. 17, 297–310 (2013)CrossRef
12.
Zurück zum Zitat Rowe, M.C., Zhang, H.G., Oxtoby, N., Alexander, D.C.: Beyond crossing fibers: tractography exploiting sub-voxel fibre dispersion and neighbourhood structure. In: IPMI, pp. 402–413 (2013) Rowe, M.C., Zhang, H.G., Oxtoby, N., Alexander, D.C.: Beyond crossing fibers: tractography exploiting sub-voxel fibre dispersion and neighbourhood structure. In: IPMI, pp. 402–413 (2013)
13.
Zurück zum Zitat Doucet, A., Godsill, S., Andrieu, C.: On sequential monte carlo sampling methods for bayesian filtering. Stat. Comput. 10, 197–208 (2000)CrossRef Doucet, A., Godsill, S., Andrieu, C.: On sequential monte carlo sampling methods for bayesian filtering. Stat. Comput. 10, 197–208 (2000)CrossRef
14.
Zurück zum Zitat Doucet, A., Johansen, A.M.: A tutorial on particle filtering and smoothing: fifteen years later. In: Crisan, D., Rozovsky, B. (eds.) The Oxford Handbook of Nonlinear Filtering. Oxford University Press, Oxford (2011) Doucet, A., Johansen, A.M.: A tutorial on particle filtering and smoothing: fifteen years later. In: Crisan, D., Rozovsky, B. (eds.) The Oxford Handbook of Nonlinear Filtering. Oxford University Press, Oxford (2011)
15.
Zurück zum Zitat Liu, J.S.: Monte Carlo Strategies in Scientific Computing. Springer Series in Statistics. Springer, New York (2001)MATH Liu, J.S.: Monte Carlo Strategies in Scientific Computing. Springer Series in Statistics. Springer, New York (2001)MATH
16.
Zurück zum Zitat Alexander, A.L., Hasan, K.M., Lazar, M., Tsuruda, J.S., Parker, D.L.: Analysis of partial volume effects in diffusion-tensor MRI. Magn. Reson. Med. 45, 770–780 (2001)CrossRef Alexander, A.L., Hasan, K.M., Lazar, M., Tsuruda, J.S., Parker, D.L.: Analysis of partial volume effects in diffusion-tensor MRI. Magn. Reson. Med. 45, 770–780 (2001)CrossRef
17.
Zurück zum Zitat Mardia, K.V., Jupp, P.: Directional Statistics, 2nd edn. Wiley, New York (2000) Mardia, K.V., Jupp, P.: Directional Statistics, 2nd edn. Wiley, New York (2000)
18.
Zurück zum Zitat Banerjee, A., Dhillon, I.S., Ghosh, J., Sra, S.: Clustering on the unit hypersphere using von Mises-Fisher distributions. J. Mach. Learn. Res. 6, 1345–1382 (2005)MathSciNetMATH Banerjee, A., Dhillon, I.S., Ghosh, J., Sra, S.: Clustering on the unit hypersphere using von Mises-Fisher distributions. J. Mach. Learn. Res. 6, 1345–1382 (2005)MathSciNetMATH
19.
Zurück zum Zitat Hornik, K., Grün, B.: Mixtures of von Mises Fisher Distributions. R package version 0.1-0 (2012) Hornik, K., Grün, B.: Mixtures of von Mises Fisher Distributions. R package version 0.1-0 (2012)
21.
Zurück zum Zitat Rathi, Y., Michailovich, O., Shenton, M.E., Bouix, S.: Directional functions for orientation distribution estimation. Med. Image Anal. 13, 433–444 (2009)CrossRef Rathi, Y., Michailovich, O., Shenton, M.E., Bouix, S.: Directional functions for orientation distribution estimation. Med. Image Anal. 13, 433–444 (2009)CrossRef
22.
Zurück zum Zitat Ferreira da Silva, A.: Facing the challenge of estimating human brain white matter pathways. In: Madani, K., Kacprzyk, J., Filipe, J. (eds.) Proceedings of the 4th International Joint Conference on Computational Intelligence, SciTePress, pp. 709–714 (2012) Ferreira da Silva, A.: Facing the challenge of estimating human brain white matter pathways. In: Madani, K., Kacprzyk, J., Filipe, J. (eds.) Proceedings of the 4th International Joint Conference on Computational Intelligence, SciTePress, pp. 709–714 (2012)
23.
Zurück zum Zitat Ferreira da Silva, A.: Computational representation of white matter fiber orientations. Int. J. Biomed. Imaging Article ID 232143 Ferreira da Silva, A.: Computational representation of white matter fiber orientations. Int. J. Biomed. Imaging Article ID 232143
24.
Zurück zum Zitat Mori, S., van Zijl, P.C.M.: Fiber tracking: principles and strategies—a technical review. NMR Biomed. 15, 468–480 (2002)CrossRef Mori, S., van Zijl, P.C.M.: Fiber tracking: principles and strategies—a technical review. NMR Biomed. 15, 468–480 (2002)CrossRef
25.
Zurück zum Zitat R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. (2010) R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. (2010)
26.
Zurück zum Zitat Ferreira da Silva, A.: gdimap: Generalized Diffusion Magnetic Resonance Imaging. R package version 0.1-1 (2012) Ferreira da Silva, A.: gdimap: Generalized Diffusion Magnetic Resonance Imaging. R package version 0.1-1 (2012)
27.
Zurück zum Zitat Whitcher, B.: CRAN Task View: Medical Image Analysis. Version 2012-03-30 (2012) Whitcher, B.: CRAN Task View: Medical Image Analysis. Version 2012-03-30 (2012)
28.
Zurück zum Zitat Whitcher, B., Schmid, V.J., Thornton, A.: Working with the DICOM and NIfTI Data Standards in R. J. Stat. Softw. 44 (2011) Whitcher, B., Schmid, V.J., Thornton, A.: Working with the DICOM and NIfTI Data Standards in R. J. Stat. Softw. 44 (2011)
29.
Zurück zum Zitat Adler, D., Murdoch, D.: rgl: 3D Visualization Device System (OpenGL). R package version 0.92.879 (2010) Adler, D., Murdoch, D.: rgl: 3D Visualization Device System (OpenGL). R package version 0.92.879 (2010)
Metadaten
Titel
Probabilistic Tractography Using Particle Filtering and Clustered Directional Data
verfasst von
Adelino R. Ferreira da Silva
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-26242-0_4

Neuer Inhalt