Skip to main content
Erschienen in: International Journal of Computer Assisted Radiology and Surgery 8/2017

29.04.2017 | Original Article

Versatile, robust, and efficient tractography with constrained higher-order tensor fODFs

verfasst von: Michael Ankele, Lek-Heng Lim, Samuel Groeschel, Thomas Schultz

Erschienen in: International Journal of Computer Assisted Radiology and Surgery | Ausgabe 8/2017

Einloggen

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

search-config
loading …

Abstract

Purpose

Develop a multi-fiber tractography method that produces fast and robust results based on input data from a wide range of diffusion MRI protocols, including high angular resolution diffusion imaging, multi-shell imaging, and clinical diffusion spectrum imaging (DSI)

Methods

In a unified deconvolution framework for different types of diffusion MRI protocols, we represent fiber orientation distribution functions as higher-order tensors, which permits use of a novel positive definiteness constraint (H-psd) that makes estimation from noisy input more robust. The resulting directions are used for deterministic fiber tracking with branching.

Results

We quantify accuracy on simulated data, as well as condition numbers and computation times on clinical data. We qualitatively investigate the benefits when processing suboptimal data, and show direct comparisons to several state-of-the-art techniques.

Conclusion

The proposed method works faster than state-of-the-art approaches, achieves higher angular resolution on simulated data with known ground truth, and plausible results on clinical data. In addition to working with the same data as previous methods for multi-tissue deconvolution, it also supports DSI data.

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 "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • 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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Andersson JLR, Sotiropoulos SN (2016) An integrated approach to correction for off-resonance effects and subject movement in diffusion mr imaging. NeuroImage 125:1063–1078CrossRefPubMedPubMedCentral Andersson JLR, Sotiropoulos SN (2016) An integrated approach to correction for off-resonance effects and subject movement in diffusion mr imaging. NeuroImage 125:1063–1078CrossRefPubMedPubMedCentral
2.
Zurück zum Zitat Ankele M, Lim LH, Groeschel S, Schultz T (2016) Fast and accurate multi-tissue deconvolution using SHORE and H-psd tensors. In: Proceedings of medical image analysis and computer-aided intervention (MICCAI) part III, LNCS, vol 9902. Springer, Berlin, pp 502–510 Ankele M, Lim LH, Groeschel S, Schultz T (2016) Fast and accurate multi-tissue deconvolution using SHORE and H-psd tensors. In: Proceedings of medical image analysis and computer-aided intervention (MICCAI) part III, LNCS, vol 9902. Springer, Berlin, pp 502–510
3.
Zurück zum Zitat Basser PJ, Pajevic S, Pierpaoli C, Duda J, Aldroubi A (2000) In vivo fiber tractography using DT-MRI data. Magn Reson Med 44:625–632CrossRefPubMed Basser PJ, Pajevic S, Pierpaoli C, Duda J, Aldroubi A (2000) In vivo fiber tractography using DT-MRI data. Magn Reson Med 44:625–632CrossRefPubMed
4.
Zurück zum Zitat Canales-Rodríguez EJ, Iturria-Medina Y, Alemán-Gómez Y, Melie-García L (2010) Deconvolution in diffusion spectrum imaging. NeuroImage 50:136–149CrossRefPubMed Canales-Rodríguez EJ, Iturria-Medina Y, Alemán-Gómez Y, Melie-García L (2010) Deconvolution in diffusion spectrum imaging. NeuroImage 50:136–149CrossRefPubMed
5.
Zurück zum Zitat Chen Z, Tie Y, Olubiyi O, Zhang F, Mehrtash A, Rigolo L, Kahali P, Norton I, Pasternak O, Rathi Y, Golby AJ, O’Donnell LJ (2016) Corticospinal tract modeling for neurosurgical planning by tracking through regions of peritumoral edema and crossing fibers using two-tensor unscented kalman filter tractography. Int J Comput Assist Radiol Surg 11(8):1475–1486CrossRefPubMedPubMedCentral Chen Z, Tie Y, Olubiyi O, Zhang F, Mehrtash A, Rigolo L, Kahali P, Norton I, Pasternak O, Rathi Y, Golby AJ, O’Donnell LJ (2016) Corticospinal tract modeling for neurosurgical planning by tracking through regions of peritumoral edema and crossing fibers using two-tensor unscented kalman filter tractography. Int J Comput Assist Radiol Surg 11(8):1475–1486CrossRefPubMedPubMedCentral
6.
Zurück zum Zitat Cheng J, Deriche R, Jiang T, Shen D, Yap PT (2014) Non-negative spherical deconvolution (NNSD) for estimation of fiber orientation distribution function in single-/multi-shell diffusion MRI. NeuroImage 101:750–764CrossRefPubMed Cheng J, Deriche R, Jiang T, Shen D, Yap PT (2014) Non-negative spherical deconvolution (NNSD) for estimation of fiber orientation distribution function in single-/multi-shell diffusion MRI. NeuroImage 101:750–764CrossRefPubMed
8.
Zurück zum Zitat Descoteaux M, Deriche R, Knösche TR, Anwander A (2009) Deterministic and probabilistic tractography based on complex fibre orientation distributions. IEEE Trans Med Imaging 28(2):269–286CrossRefPubMed Descoteaux M, Deriche R, Knösche TR, Anwander A (2009) Deterministic and probabilistic tractography based on complex fibre orientation distributions. IEEE Trans Med Imaging 28(2):269–286CrossRefPubMed
9.
Zurück zum Zitat Garyfallidis E, Brett M, Amirbekian B, Rokem A, Van Der Walt S, Descoteaux M, Nimmo-Smith I (2014) Dipy, a library for the analysis of diffusion MRI data. Front Neuroinform. 8(8). doi:10.3389/fninf.2014.00008 Garyfallidis E, Brett M, Amirbekian B, Rokem A, Van Der Walt S, Descoteaux M, Nimmo-Smith I (2014) Dipy, a library for the analysis of diffusion MRI data. Front Neuroinform. 8(8). doi:10.​3389/​fninf.​2014.​00008
10.
Zurück zum Zitat Jeurissen B, Tournier JD, Dhollander T, Connelly A, Sijbers J (2014) Multi-tissue constrained spherical deconvolution for improved analysis of multi-shell diffusion MRI data. NeuroImage 103:411–426CrossRefPubMed Jeurissen B, Tournier JD, Dhollander T, Connelly A, Sijbers J (2014) Multi-tissue constrained spherical deconvolution for improved analysis of multi-shell diffusion MRI data. NeuroImage 103:411–426CrossRefPubMed
11.
Zurück zum Zitat Jiao F, Gur Y, Johnson CR, Joshi S (2011) Detection of crossing white matter fibers with high-order tensors and rank-\(k\) decompositions. In: Székely G, Hahn HK (eds) IPMI, LNCS, vol 6801, pp 538–549 Jiao F, Gur Y, Johnson CR, Joshi S (2011) Detection of crossing white matter fibers with high-order tensors and rank-\(k\) decompositions. In: Székely G, Hahn HK (eds) IPMI, LNCS, vol 6801, pp 538–549
12.
Zurück zum Zitat Jones DK, Knösche TR, Turner R (2013) White matter integrity, fiber count, and other fallacies: the do’s and don’ts of diffusion MRI. NeuroImage 73:239–254CrossRefPubMed Jones DK, Knösche TR, Turner R (2013) White matter integrity, fiber count, and other fallacies: the do’s and don’ts of diffusion MRI. NeuroImage 73:239–254CrossRefPubMed
13.
Zurück zum Zitat Knutsson H, Westin CF (2013) Tensor metrics and charged containers for 3d q-space sample distribution. In: Mori K, Sakuma I, Sato Y, Barillot C, Navab N (eds) Proceedings of medical image computing and computer-assisted intervention (MICCAI) part I, LNCS, vol 8149, Springer, Berlin, pp 679–686 Knutsson H, Westin CF (2013) Tensor metrics and charged containers for 3d q-space sample distribution. In: Mori K, Sakuma I, Sato Y, Barillot C, Navab N (eds) Proceedings of medical image computing and computer-assisted intervention (MICCAI) part I, LNCS, vol 8149, Springer, Berlin, pp 679–686
14.
Zurück zum Zitat Malcolm JG, Michailovich O, Bouix S, Westin CF, Shenton ME, Rathi Y (2010) A filtered approach to neural tractography using the Watson directional function. Med Image Anal 14:58–69CrossRefPubMed Malcolm JG, Michailovich O, Bouix S, Westin CF, Shenton ME, Rathi Y (2010) A filtered approach to neural tractography using the Watson directional function. Med Image Anal 14:58–69CrossRefPubMed
15.
Zurück zum Zitat Merlet SL, Deriche R (2013) Continuous diffusion signal, EAP and ODF estimation via compressive sensing in diffusion MRI. Med Image Anal 17:556–572CrossRefPubMed Merlet SL, Deriche R (2013) Continuous diffusion signal, EAP and ODF estimation via compressive sensing in diffusion MRI. Med Image Anal 17:556–572CrossRefPubMed
16.
Zurück zum Zitat Mori S, Crain BJ, Chacko VP, van Zijl PCM (1999) Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann Neurol 45(2):265–269CrossRefPubMed Mori S, Crain BJ, Chacko VP, van Zijl PCM (1999) Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann Neurol 45(2):265–269CrossRefPubMed
17.
Zurück zum Zitat Özarslan E, Mareci T (2003) Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magn Reson Med 50:955–965CrossRefPubMed Özarslan E, Mareci T (2003) Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magn Reson Med 50:955–965CrossRefPubMed
18.
Zurück zum Zitat Paquette M, Merlet S, Gilbert G, Deriche R, Descoteaux M (2015) Comparison of sampling strategies and sparsifying transforms to improve compressed sensing diffusion spectrum imaging. Magn Reson Med 73(1):401–416CrossRefPubMed Paquette M, Merlet S, Gilbert G, Deriche R, Descoteaux M (2015) Comparison of sampling strategies and sparsifying transforms to improve compressed sensing diffusion spectrum imaging. Magn Reson Med 73(1):401–416CrossRefPubMed
19.
Zurück zum Zitat Raffelt D, Tournier JD, Rose S, Ridgway GR, Henderson R, Crozier S, Salvado O, Connelly A (2012) Apparent fibre density: a novel measure for the analysis of diffusion-weighted magnetic resonance images. NeuroImage 59(4):3976–3994CrossRefPubMed Raffelt D, Tournier JD, Rose S, Ridgway GR, Henderson R, Crozier S, Salvado O, Connelly A (2012) Apparent fibre density: a novel measure for the analysis of diffusion-weighted magnetic resonance images. NeuroImage 59(4):3976–3994CrossRefPubMed
20.
Zurück zum Zitat Reisert M, Mader I, Anastasopoulos C, Weigel M, Schnell S, Kiselev V (2011) Global fiber reconstruction becomes practical. NeuroImage 54(2):955–962CrossRefPubMed Reisert M, Mader I, Anastasopoulos C, Weigel M, Schnell S, Kiselev V (2011) Global fiber reconstruction becomes practical. NeuroImage 54(2):955–962CrossRefPubMed
21.
Zurück zum Zitat Reznick B (1992) Sums of even powers of real linear forms. American Mathematical Society Reznick B (1992) Sums of even powers of real linear forms. American Mathematical Society
22.
Zurück zum Zitat Schultz T, Fuster A, Ghosh A, Deriche R, Florack L, Lim LH (2014) Higher-order tensors in diffusion imaging. In: Westin CF, Vilanova A, Burgeth B (eds) Visualization and processing of tensors and higher order descriptors for multi-valued data. Springer, Berlin, pp 129–161 Schultz T, Fuster A, Ghosh A, Deriche R, Florack L, Lim LH (2014) Higher-order tensors in diffusion imaging. In: Westin CF, Vilanova A, Burgeth B (eds) Visualization and processing of tensors and higher order descriptors for multi-valued data. Springer, Berlin, pp 129–161
23.
Zurück zum Zitat Schultz T, Groeschel S (2013) Auto-calibrating spherical deconvolution based on ODF sparsity. In: Mori K, Sakuma I, Sato Y, Barillot C, Navab N (eds) Proceedings of medical image computing and computer-assisted intervention (MICCAI) part I, LNCS, vol 8149. Springer, Berlin, pp 663–670 Schultz T, Groeschel S (2013) Auto-calibrating spherical deconvolution based on ODF sparsity. In: Mori K, Sakuma I, Sato Y, Barillot C, Navab N (eds) Proceedings of medical image computing and computer-assisted intervention (MICCAI) part I, LNCS, vol 8149. Springer, Berlin, pp 663–670
24.
Zurück zum Zitat Schultz T, Seidel HP (2008) Estimating crossing fibers: a tensor decomposition approach. IEEE Trans Vis Comput Gr 14(6):1635–1642CrossRef Schultz T, Seidel HP (2008) Estimating crossing fibers: a tensor decomposition approach. IEEE Trans Vis Comput Gr 14(6):1635–1642CrossRef
25.
Zurück zum Zitat Tournier JD, Calamante F, Connelly A (2010) Improved probabilistic streamlines tractography by 2nd order integration over fiber orientation distributions. In: Proceedings of international society of magnetic resonance in medicine (ISMRM), p 1670 Tournier JD, Calamante F, Connelly A (2010) Improved probabilistic streamlines tractography by 2nd order integration over fiber orientation distributions. In: Proceedings of international society of magnetic resonance in medicine (ISMRM), p 1670
26.
Zurück zum Zitat Tournier JD, Calamante F, Connelly A (2007) Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 35:1459–1472CrossRefPubMed Tournier JD, Calamante F, Connelly A (2007) Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 35:1459–1472CrossRefPubMed
27.
Zurück zum Zitat Tournier JD, Calamante F, Connelly A (2012) MRtrix: diffusion tractography in crossing fiber regions. Int J Imaging Syst Technol 22(1):53–66CrossRef Tournier JD, Calamante F, Connelly A (2012) MRtrix: diffusion tractography in crossing fiber regions. Int J Imaging Syst Technol 22(1):53–66CrossRef
28.
Zurück zum Zitat Tournier JD, Calamante F, Gadian DG, Connelly A (2004) Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23:1176–1185CrossRefPubMed Tournier JD, Calamante F, Gadian DG, Connelly A (2004) Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23:1176–1185CrossRefPubMed
30.
Zurück zum Zitat Wedeen V, Wang R, Schmahmann J, Benner T, Tseng W, Dai G, Pandya D, Hagmann P, D’Arceuil H, de Crespigny A (2008) Diffusion spectrum magnetic resonance imaging (DSI) tractography of crossing fibers. NeuroImage 41(4):1267–1277CrossRefPubMed Wedeen V, Wang R, Schmahmann J, Benner T, Tseng W, Dai G, Pandya D, Hagmann P, D’Arceuil H, de Crespigny A (2008) Diffusion spectrum magnetic resonance imaging (DSI) tractography of crossing fibers. NeuroImage 41(4):1267–1277CrossRefPubMed
31.
Zurück zum Zitat Wedeen VJ, Hagmann P, Tseng WYI, Reese TG, Weisskoff RM (2005) Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magn Reson Med 54(6):1377–1386CrossRefPubMed Wedeen VJ, Hagmann P, Tseng WYI, Reese TG, Weisskoff RM (2005) Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magn Reson Med 54(6):1377–1386CrossRefPubMed
32.
Zurück zum Zitat Wedeen VJ, Rosene DL, Wang R, Dai G, Mortazavi F, Hagmann P, Kaas JH, Tseng WYI (2012) The geometric structure of the brain fiber pathways. Science 335(6076):1628–1634CrossRefPubMedPubMedCentral Wedeen VJ, Rosene DL, Wang R, Dai G, Mortazavi F, Hagmann P, Kaas JH, Tseng WYI (2012) The geometric structure of the brain fiber pathways. Science 335(6076):1628–1634CrossRefPubMedPubMedCentral
33.
Zurück zum Zitat Weldeselassie YT, Barmpoutis A, Atkins MS (2012) Symmetric positive semi-definite cartesian tensor fiber orientation distributions (CT-FOD). Med Image Anal 16(6):1121–1129CrossRefPubMed Weldeselassie YT, Barmpoutis A, Atkins MS (2012) Symmetric positive semi-definite cartesian tensor fiber orientation distributions (CT-FOD). Med Image Anal 16(6):1121–1129CrossRefPubMed
34.
Zurück zum Zitat Zhang Y, Brady M, Smith S (2001) Segmentation of brain MR images through a hidden markov random field model and the expectation-maximization algorithm. IEEE Trans Med Imaging 20(1):45–57CrossRefPubMed Zhang Y, Brady M, Smith S (2001) Segmentation of brain MR images through a hidden markov random field model and the expectation-maximization algorithm. IEEE Trans Med Imaging 20(1):45–57CrossRefPubMed
Metadaten
Titel
Versatile, robust, and efficient tractography with constrained higher-order tensor fODFs
verfasst von
Michael Ankele
Lek-Heng Lim
Samuel Groeschel
Thomas Schultz
Publikationsdatum
29.04.2017
Verlag
Springer International Publishing
Erschienen in
International Journal of Computer Assisted Radiology and Surgery / Ausgabe 8/2017
Print ISSN: 1861-6410
Elektronische ISSN: 1861-6429
DOI
https://doi.org/10.1007/s11548-017-1593-6

Weitere Artikel der Ausgabe 8/2017

International Journal of Computer Assisted Radiology and Surgery 8/2017 Zur Ausgabe