Abstract
Motivated by previous work [16] and recent diffeomorphic image registration developments in which the characteristic velocity field is represented by spatiotemporal B-splines [3], we present a diffeomorphic B-spline-based image registration algorithm combining and extending these techniques. The advancements of the proposed framework over previous work include a preconditioned gradient descent algorithm and potential weighting of the metric gradient permitting, among other things, enforcement of stationary boundary conditions. In addition to theoretical and practical discussions of our contribution, we also describe its parallelized implementation as open source in the Insight Toolkit and perform an evaluation on publicly available brain data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Avants, B.B., Epstein, C.L., Grossman, M., Gee, J.C.: Symmetric diffeomorphic image registration with cross-correlation: evaluating automated labeling of elderly and neurodegenerative brain. Med. Image Anal. 12(1), 26–41 (2008)
Beg, M.F., Miller, M.I., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vision 61, 139–157 (2005), http://dl.acm.org/citation.cfm?id=1026574.1026580
De Craene, M., Piella, G., Camara, O., Duchateau, N., Silva, E., Doltra, A., D’hooge, J., Brugada, J., Sitges, M., Frangi, A.F.: Temporal diffeomorphic free-form deformation: Application to motion and strain estimation from 3d echocardiography. Med. Image Anal. (November 2011)
Klein, A., Andersson, J., Ardekani, B.A., Ashburner, J., Avants, B., Chiang, M.C., Christensen, G.E., Collins, D.L., Gee, J., Hellier, P., Song, J.H., Jenkinson, M., Lepage, C., Rueckert, D., Thompson, P., Vercauteren, T., Woods, R.P., Mann, J.J., Parsey, R.V.: Evaluation of 14 nonlinear deformation algorithms applied to human brain MRI registration. Neuroimage 46(3), 786–802 (2009)
Modat, M., Ridgway, G.R., Daga, P., Cardoso, M.J., Hawkes, D.J.: Log-Euclidean free-form deformation. In: Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 7962 (2011)
Press, W.H.: Numerical recipes. Cambridge University Press, code cd-rom v 2.06 edn. (1996), http://www.loc.gov/catdir/description/cam0210/99382414.html
Rueckert, D., Sonoda, L.I., Hayes, C., Hill, D.L., Leach, M.O., Hawkes, D.J.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Trans. Med. Imaging 18(8), 712–721 (1999)
Rueckert, D., Aljabar, P., Heckemann, R.A., Hajnal, J.V., Hammers, A.: Diffeomorphic registration using B-splines. Med. Image Comput Comput. Assist. Interv. 9(pt. 2), 702–709 (2006)
Shattuck, D.W., Mirza, M., Adisetiyo, V., Hojatkashani, C., Salamon, G., Narr, K.L., Poldrack, R.A., Bilder, R.M., Toga, A.W.: Construction of a 3D probabilistic atlas of human cortical structures. Neuroimage 39(3), 1064–1080 (2008)
Szeliski, R., Coughlan, J.: Spline-based image registration. International Journal of Computer Vision 22, 199–218 (1997), http://dx.doi.org/10.1023/A:1007996332012 , doi:10.1023/A:1007996332012
Thévenaz, P., Ruttimann, U.E., Unser, M.: A pyramid approach to subpixel registration based on intensity. IEEE Trans.Image Process 7(1), 27–41 (1998)
Tustison, N.J., Avants, B.B.: The TVDMFFDVR algorithm. Insight Journal (2012)
Tustison, N.J., Gee, J.C.: Introducing Dice, Jaccard, and other label overlap measures to ITK. Insight Journal (2009)
Tustison, N.J., Gee, J.C.: Generalized n-D C k B-Spline Scattered Data Approximation with Confidence Values. In: Yang, G.-Z., Jiang, T., Shen, D., Gu, L., Yang, J. (eds.) MIAR 2006. LNCS, vol. 4091, pp. 76–83. Springer, Heidelberg (2006)
Tustison, N.J., Avants, B.B., Cook, P.A., Zheng, Y., Egan, A., Yushkevich, P.A., Gee, J.C.: N4ITK: improved N3 bias correction. IEEE Trans. Med. Imaging 29(6), 1310–1320 (2010)
Tustison, N.J., Avants, B.B., Gee, J.C.: Directly manipulated free-form deformation image registration. IEEE Trans. Image Process 18(3), 624–635 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tustison, N.J., Avants, B.B. (2012). Diffeomorphic Directly Manipulated Free-Form Deformation Image Registration via Vector Field Flows. In: Dawant, B.M., Christensen, G.E., Fitzpatrick, J.M., Rueckert, D. (eds) Biomedical Image Registration. WBIR 2012. Lecture Notes in Computer Science, vol 7359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31340-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-31340-0_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31339-4
Online ISBN: 978-3-642-31340-0
eBook Packages: Computer ScienceComputer Science (R0)