Abstract
This paper presents a new image registration algorithm that accommodates locally large nonlinear deformations. The algorithm concurrently estimates the forward and reverse transformations between a pair of images while minimizing the inverse consistency error between the transformations. It assumes that the two images to be registered contain topologically similar objects and were collected using the same imaging modality. The large deformation transformation from one image to the other is accommodated by concatenating a sequence of small deformation transformations. Each incremental transformation is regularized using a linear elastic continuum mechanical model. Results of ten 2D and twelve 3D MR image registration experiments are presented that tested the algorithm’s performance on real brain shapes. For these experiments, the inverse consistency error was reduced on average by 50 times in 2D and 30 times in 3D compared to the viscous fluid registration algorithm.
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
Talairach, J., Tournoux, P.: Co-Planar Stereotactic Atlas of the Human Brain. Beorg Thieme Verlag, Stuttgart (1988)
Bookstein, F.L.: Pricipal warps: Thin-plate splines and the decomposition of deformations. IEEE Transaction on Pattern Analysis and Machine Intelligence 11, 567–585 (1989)
Besl, P.J., McKay, N.D.: A method for registration of 3-d shapes. IEEEMI 14(2), 239–256 (1992)
Woods, R.P., Grafton, S.T., Holmes, C.J., Cherry, S.R., Mazziotta, J.C.: Automated Image Registration: I. General Methods and Intrasubject, Intramodality Validation. Journal of Computer Assisted Tomography 22(1), 139–152 (1998)
Ashburner, J., Friston, K.J.: Voxel-based morphometry - the methods. NeuroImage 11(6), 805–821 (2000)
Christensen, G.E., Johnson, H.J.: Consistent image registration. IEEE Transactions on Medical Imaging 20(7), 568–582 (2001)
Shen, D., Davatzikos, C.: Hammer: hierarchical attribute matching mechanism for elastic registration. IEEE Trans. on Medical Imaging 21(11), 1421–1439 (2002)
Christensen, G.E., Rabbitt, R.D., Miller, M.I.: Deformable templates using large deformation kinematics. IEEE Transactions on Image Processing 5(10), 1435–1447 (1996)
Joshi, S.C., Miller, M.I.: Landmark matching via large deformation diffeomorphisms. IEEE Transactions on Image Processing 9(8), 1357–1370 (2000)
Rabbitt, R.D., Wiess, J., Christensen, G.E., Miller, M.I.: Mapping of hyperelastic deformable templates using the finite element method. In: Melter, R.A., Wu, A.Y., Bookstein, F.L., Green, W.D. (eds.) Vision Geometry IV, Proceedings of SPIE, vol. 2573, pp. 252–265 (1995)
Bro-Nielsen, M., Gramkow, C.: Fast fluid registration of medical images. In: Höhne, K.H., Kikinis, R. (eds.) VBC 1996. LNCS, vol. 1131, pp. 267–276. Springer, Heidelberg (1996)
Lester, H., Arridge, S.R., Jansons, K.M., Lemieux, L., Hajnal, J.V., Oatridge, A.: Non-linear registration with the variable viscosity fluid algorithm. In: Kuba, A., Sámal, M., Todd-Pokropek, A. (eds.) IPMI 1999. LNCS, vol. 1613, pp. 238–251. Springer, Heidelberg (1999)
Cachier, P., Rey, D.: Symmetrization of the non-rigid registration problem using inversion-invariant energies: Application to multiple sclerosis. In: Delp, S.L., DiGoia, A.M., Jaramaz, B. (eds.) MICCAI 2000. LNCS, vol. 1935, pp. 472–481. Springer, Heidelberg (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
He, J., Christensen, G.E. (2003). Large Deformation Inverse Consistent Elastic Image Registration. In: Taylor, C., Noble, J.A. (eds) Information Processing in Medical Imaging. IPMI 2003. Lecture Notes in Computer Science, vol 2732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45087-0_37
Download citation
DOI: https://doi.org/10.1007/978-3-540-45087-0_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40560-3
Online ISBN: 978-3-540-45087-0
eBook Packages: Springer Book Archive