Abstract
In this paper we generalize the Log-Euclidean polyaffine registration framework of Arsigny et al. [1] to deal with articulated structures. This framework has very useful properties as it guarantees the invertibility of smooth geometric transformations. In articulated registration a skeleton model is defined for rigid structures such as bones. The final transformation is affine for the bones and elastic for other tissues in the image. We extend the Arsigny el al.’s method to deal with locally-affine registration of pairs of wires. This enables the possibility of using this registration framework to deal with articulated structures. In this context, the design of the weighting functions, which merge the affine transformations defined for each pair of wires, has a great impact not only on the final result of the registration algorithm, but also on the invertibility of the global elastic transformation. Several experiments, using both synthetic images and hand radiographs, are also presented.
Chapter PDF
Similar content being viewed by others
References
Arsigny, V., Commowick, O., Pennec, X., Ayache, N.: A Log-Euclidean Polyaffine Framework for Locally Rigid or Affine Registration. In: Pluim, J.P.W., Likar, B., Gerritsen, F.A. (eds.) WBIR 2006. LNCS, vol. 4057, pp. 120–127. Springer, Heidelberg (2006)
Maintz, J.B.A., Viergever, M.A.: A Survey of Medical Image Registration. Med. Image Anal. 2, 1–36 (1998)
Maes, F., Collingnon, A., Vandermeulen, D., Marchal, G., Suetens, P.: Multimodality Image Registration by Maximization of Mutual Information. IEEE Trans. Med. Imaging 16, 187–198 (1997)
Martín-Fernández, M.A., Cárdenes, R., Muñoz-Moreno, E., de Luis-García, R., Martín-Fernández, M., Alberola-López, C.: Automatic Articulated Registration of Hand Radiographs. Image Vis. Comput. (2008) doi:10.1016/j.imavis.2008.11.001
Rohr, K., Stiehl, H., Buzug, T., Weese, J., Kuhn, M.: Landmark-Based Elastic Registration Using Approximating Thin-Plate Splines. IEEE Trans. Med. Imaging 20, 526–534 (2001)
Papademetris, X., Dione, D.P., Dobrucki, L.W., Staib, L.H., Sinusas, A.J.: Articulated Rigid Registration for Serial Lower-Limb Mouse Imaging. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 919–926. Springer, Heidelberg (2005)
Baiker, M., Milles, J., Vossepoel, A., Que, I., Kaijzel, E., Löwik, C., Reiber, J.H.C., Dijkstra, J., Lelieveldt, B.: Fully Automated Whole-Body Registration in Mice Using an Articulated Skeleton Atlas. In: IEEE ISBI, pp. 728–731 (2007)
Li, X., Peterson, T.E., Gore, J.C., Dawant, B.M.: Automatic Registration of Whole Body Serial Micro CT Images with a Combination of Point-Based and Intensity-Based Registration Techniques. In: IEEE ISBI, pp. 18–25 (2006)
du Bois d’Aische, A., Craene, M.D., Geets, X., Gregoire, V., Macq, B., Warfield, S.K.: Estimation of the Deformations Induced by Articulated Bodies: Registration of the Spinal Column. Biomed. Signal Process. and Control 2, 16–24 (2007)
Arsigny, V., Pennec, X., Ayache, N.: Polyrigid and Polyaffine Transformations: A New Class of Diffeomorphisms for Locally Rigid or Affine Registration. In: Ellis, R.E., Peters, T.M. (eds.) MICCAI 2003. LNCS, vol. 2879, pp. 829–837. Springer, Heidelberg (2003)
Arsigny, V., Pennec, X., Ayache, N.: Polyrigid and Polyaffine Transformations: a Novel Geometrical Tool to Deal with Non-Rigid Deformations - Application to the Registration of Histological Slices. Med. Image Anal. 9, 507–523 (2005)
Martín-Fernández, M.A., Muñoz Moreno, E., Martín-Fernández, M., Alberola-López, C.: Articulated Registration: Elastic Registration Based on a Wire-Model. In: Fitzpatrick, J.M., Reinhardt, J.M. (eds.) Medical Imaging 2005: Image Processing. SPIE Press, San Diego (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Martín-Fernández, M.Á., Martín-Fernández, M., Alberola-López, C. (2009). A Log-Euclidean Polyaffine Registration for Articulated Structures in Medical Images. In: Yang, GZ., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2009. MICCAI 2009. Lecture Notes in Computer Science, vol 5761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04268-3_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-04268-3_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04267-6
Online ISBN: 978-3-642-04268-3
eBook Packages: Computer ScienceComputer Science (R0)