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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

In this chapter, we introduce the problem of registering diffusion tensor magnetic resonance (DT-MR) images. The registration task for these images is made challenging by the orientational information they contain, which is affected by the registration transformation. This information about orientation and other aspects of the diffusion tensor are exploited in the development of similarity measures with which to guide DT-MR image registration, and the current state-of-the-art is reviewed. The chapter concludes with a discussion of some outstanding issues and future avenues for research in diffusion tensor registration.

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References

  1. Hajnal, J., Hill, D.L.G., Hawkes, D.J.: Medical Image Registration. CRC Press, London (2001)

    Book  Google Scholar 

  2. Basser, P.J., Matiello, J., Le Bihan, D.: MR diffusion tensor spectroscopy and imaging. Biophysical Journal, 66, 259–267 (1994)

    Article  Google Scholar 

  3. Basser, P.J., Pierpaoli, C.: Microstructural and physiological features of tissues elucidated by quantitative diffusion tensor MRI. Journal of Magnetic Resonance Series B, 111, 209–219 (1996)

    Article  Google Scholar 

  4. Maintz, J.B.A., Viergever, M.A.: A survey of medical image registration. Medical Image Analysis, 2, 1–36 (1998)

    Article  Google Scholar 

  5. Ibanez, L., Ng, L.: Basic registration. In: Yoo, T.S. (ed) Insight into Images: Principles and Practice for Segmentation, Registration, and Image Analysis. A.K. Peters, Wellesey (2004)

    Google Scholar 

  6. Lester, H., Arridge, S.R.: A survey of hierarchical non-linear medical image registration. Pattern Recognition, 32, 129–149 (1999)

    Article  Google Scholar 

  7. Avants, B., Sundaram, T., Duda, J., Ng, L., Gee, J.: Non-rigid image registration. In: Yoo, T.S. (ed) Insight into Images: Principles and Practice for Segmentation, Registration, and Image Analysis. A.K. Peters, Wellesey (2004)

    Google Scholar 

  8. Gee, J.C., Bajcsy, R.K.: Elastic matching: Continuum mechanical and probabilistic analysis. In: Toga, A.W. (ed) Brain Warping. Academic Press, San Diego (1998)

    Google Scholar 

  9. Alexander, D.C., Pierpaoli, C., Basser, P.J., Gee, J.C.: Spatial transformation of diffusion tensor magnetic resonance images. IEEE Transactions on Medical Imaging, 20, 1131–1139 (2001)

    Article  Google Scholar 

  10. Xu, D., Mori, S., Shen, D., van Zijl, P.C.M., Davatzikos, C.: Spatial normalization of diffusion tensor fields. Magnetic Resonance in Medicine, 50, 175–182 (2003)

    Article  Google Scholar 

  11. Alexander, D.C., Gee, J.C.: Elastic matching of diffusion tensor MRIs. Computer Vision and Image Understanding, 77, 233–250 (2000)

    Article  Google Scholar 

  12. Alexander, D.C., Gee, J.C., Bajcsy, R.K.: Similarity measures for matching diffusion tensor images. In: Proc. British Machine Vision Conference. BMVA, Worcs (1999)

    Google Scholar 

  13. Gee, J.C., Haynor, D.R.: Numerical methods for high dimensional warps. In: Toga, A.W. (ed) Brain Warping. Academic Press, San Diego (1998)

    Google Scholar 

  14. Curran, K.M., Alexander, D.C.: Orientation matching for registration of diffusion tensor images. In: Sonka, M., Fitzpatrick, J.M. (ed) Proc. SPIE Medical Imaging: Image Processing. SPIE, Bellingham (2003)

    Google Scholar 

  15. Curran, K.M., Alexander, D.C.: Orientation coherence optimization in tensor image registration. In: Proc. Medical Imaging Understanding and Analysis. BMVA, Worcs (2004)

    Google Scholar 

  16. Ruiz-Alzola, J., Westin, C.F., Warfield, S.K., Alberola, C., Maier, S., Kikinis, R.: Nonrigid registration of 3D tensor medical data. Medical Image Analysis, 6, 143–161 (2002)

    Article  Google Scholar 

  17. Ruiz-Alzola, J., Westin, C.F., Warfield, S.K., Nabavi, A., Kikinis, R.: Nonrigid registration of 3D scalar, vector and tensor medical data. In: Delp, S.L., DiGioia, A.M., Jaramaz, B. (ed) Medical Image Computing and Computer-Assisted Intervention. Springer-Verlag, Berlin (2000)

    Google Scholar 

  18. Ruiz-Alzola, J., Kikinis, R., Westin, C.F.: Detection of point landmarks in multidimensional tensor data. Signal Processing, 81, 2243–2247 (2001)

    Article  Google Scholar 

  19. Guimond, A., Guttmann, C.R.G., Warfield, S.K., Westin, C.F.: Deformable registration of DT-MRI data based on transformation invariant tensor characteristics. In: Proc. IEEE International Symposium on Biomedical Imaging. IEEE Press, Piscataway (2002)

    Google Scholar 

  20. Park, H.J., Kubicki, M., Shenton, M.E., Guimond, A., McCarley, R.W., Maier, S.E., Kikinis, R., Jolesz, F.A., Westin, C.F.: Spatial normalization of diffusion tensor MRI using multiple channels. NeuroImage, 20, 1995–2009 (2003)

    Article  Google Scholar 

  21. Rohde, G.K., Pajevic, S., Pierpaoli, C., Basser, P.J.: A comprehensive approach for multi-channel image registration. In: Gee, J.C., Maintz, J.B.A., Vannier, M.W. (ed) Proc. 2nd International Workshop on Biomedical Image Registration. Springer-Verlag, Berlin (2003)

    Google Scholar 

  22. Rohde, G.K., Pajevic, S., Pierpaoli, C.: Multi-channel registration of diffusion tensor images using directional information. In: Proc. IEEE International Symposium on Biomedical Imaging. IEEE Press, Piscataway (2004)

    Google Scholar 

  23. Verma, R., Davatzikos, C.: Matching of diffusion tensor images using Gabor features. In: Proc. IEEE International Symposium on Biomedical Imaging. IEEE Press, Piscataway (2004)

    Google Scholar 

  24. Duda, J.T., Rivera, M., Alexander, D.C., Gee J.C.: A method for nonrigid registration of diffusion tensor magnetic resonance images. In: Sonka, M., Fitzpatrick, J.M. (ed) Proc. SPIE Medical Imaging: Image Processing. SPIE, Bellingham (2003)

    Google Scholar 

  25. Zhang, H., Yushkevich, P.A., Gee, J.C.: Registration of diffusion tensor images. In: Proc. Computer Vision and Pattern Recognition. IEEE Press, Piscataway (2004)

    Google Scholar 

  26. Alexander, D.C., Barker, G.J., Arridge, S.R.: Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain data. Magnetic Resonance in Medicine, 48, 331–340 (2002)

    Article  Google Scholar 

  27. Batchelor, P.G., Calamante, F., Moaker, M., Atkinson, D., Connelly, A., Hill, D.: A rigorous method for calculus on diffusion tensors: Taking into account positivity of eigenvalues. In: Proc. 12th Scientific Meeting ISMRM. ISMRM, Berkeley (2004)

    Google Scholar 

  28. Fletcher, P.T., Joshi, S.: Principal geodesic analysis on symmetric spaces: Statistics of diffusion tensors. In: Sonka, M., Kakadiaris, I.A., Kybic, J. (ed) Proc. Workshop on Computer Vision Approaches to Medical Image Analysis. Springer-Verlag, Berlin (2004)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Gee, J.C., Alexander, D.C. (2006). Diffusion-Tensor Image Registration. In: Weickert, J., Hagen, H. (eds) Visualization and Processing of Tensor Fields. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31272-2_20

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