Abstract
This paper introduces a novel approach to quantify asymmetry in each point of a surface. The measure is based on analysing displacement vectors resulting from nonrigid image registration. A symmetric atlas, generated from control subjects is registered to a given subject image. A comparison of the resulting displacement vectors on the left and right side of the symmetry plane, gives a point-wise measure of asymmetry. The asymmetry measure was applied to the study of Crouzon syndrome using Micro CT scans of genetically modified mice. Crouzon syndrome is characterised by the premature fusion of cranial sutures, which gives rise to a highly asymmetric growth. Quantification and localisation of this asymmetry is of high value with respect to surgery planning and treatment evaluation. Using the proposed method, asymmetry was calculated in each point of the surface of Crouzon mice and wild-type mice (controls). Asymmetry appeared in similar regions for the two groups but the Crouzon mice were found significantly more asymmetric. The localisation ability of the method was in good agreement with ratings from a clinical expert. Validating the quantification ability is a less trivial task due to the lack of a gold standard. Nevertheless, a comparison with a different, but less accurate measure of asymmetry revealed good correlation.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Crouzon, O.: Une nouvelle famille atteinte de dysostose cranio-faciale héréditère. Bull Mem. Soc. Méd. Hôp. 39, 231–233 (1912)
Reardon, W., Winter, R.M., Rutland, P., Pulleyn, L.J., Jones, B.M., Malcolm, S.: Mutations in the fibroblast growth factor receptor 2 gene cause Crouzon syndrome. Nat. Genet. 8, 98–103 (1994)
Eswarakumar, V.P., Horowitz, M.C., Locklin, R., Morriss-Kay, G.M., Lonai, P.: A gain-of-function mutation of fgfr2c demonstrates the roles of this receptor variant in osteogenesis. Proc. Natl. Acad. Sci. 101, 12555–12560 (2004)
Perlyn, C.A., DeLeon, V.B., Babbs, C., Govier, D., Burell, L., Darvann, T., Kreiborg, S., Morriss-Kay, G.: The craniofacial phenotype of the Crouzon mouse: Analysis of a model for syndromic craniosynostosis using 3D MicroCT. Cleft Palate Craniofacial Journal 43(6), 740–747 (2006)
Ólafsdóttir, H., Darvann, T.A., Hermann, N.V., Oubel, E., Ersbøll, B.K., Frangi, A.F., Larsen, P., Perlyn, C.A., Morriss-Kay, G.M., Kreiborg, S.: Computational mouse atlases and their application to automatic assessment of craniofacial dysmorphology caused by the crouzon mutation Fgfr\(2^\text{C342Y}\). Journal of Anatomy 211(1), 37–52 (2007)
Ólafsdóttir, H., Darvann, T.A., Ersboll, B.K., Hermann, N.V., Oubel, E., Larsen, R., Frangi, A.F., Larsen, P., Perlyn, C.A., Morriss-Kay, G.M., Kreiborg, S.: Craniofacial statistical deformation models of wild-type mice and crouzon mice. In: Pluim, J.P.W., Reinhardt, J.M. (eds.) Medical Imaging 2007: Image Processing, SPIE, vol. 6512, p. 65121C (2007)
Lanche, S., Darvann, T.A., Ólafsdóttir, H., Hermann, N.V., Pelt, A.E.V., Govier, D., Tenenbaum, M.J., Naidoo, S., Larsen, P., Kreiborg, S., Larsen, R., Kane, A.A.: A statistical model of head asymmetry in infants with deformational plagiocephaly. In: Ersbøll, B.K., Pedersen, K.S. (eds.) Scandinavian Conference on Image Analysis 2007. LNCS, vol. 4522, pp. 898–907. Springer, Heidelberg (2007)
Christensen, G., Johnson, H., Darvann, T., Hermann, N., Marsh, J.: Midsagittal surface measurement of the head: an assessment of craniofacial asymmetry. Proceedings of the SPIE - The International Society for Optical Engineering 3661, 612–619 (1999)
Ashburner, J., Hutton, C., Frackowiak, R., Johnsrude, I., Price, C., Friston, K.: Identifying global anatomical differences: Deformation-based morphometry. Human Brain Mapping 6(5-6), 348–357 (1998)
Lancaster, J., Kochunov, P., Thompson, P., Toga, A., Fox, P.: Asymmetry of the brain surface from deformation field analysis. Human Brain Mapping 19(2), 79–89 (2003)
Joshi, S., Lorenzen, P., Gerig, G., Bullitt, E.: Structural and radiometric asymmetry in brain images. Medical Image Analysis 7(2), 155–170 (2003)
Rueckert, D., Sonoda, L.I., Hayes, C., Hill, D.L.G., Leach, M.O., Hawkes, D.J.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Trans. on Medical Imaging 18(8), 712–721 (1999)
Schnabel, J.A., Rueckert, D., Quist, M., Blackall, J.M., Castellano-Smith, A.D., Hartkens, T., Penney, G.P., Hall, W.A., Liu, H., Truwit, C.L., Gerritsen, F.A., Hill, D.L.G., Hawkes, D.J.: A generic framework for non-rigid registration based on non-uniform multi-level free-form deformations. In: Niessen, W.J., Viergever, M.A. (eds.) MICCAI 2001. LNCS, vol. 2208, pp. 573–581. Springer, Heidelberg (2001)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ólafsdóttir, H. et al. (2007). A Point-Wise Quantification of Asymmetry Using Deformation Fields: Application to the Study of the Crouzon Mouse Model. In: Ayache, N., Ourselin, S., Maeder, A. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007. MICCAI 2007. Lecture Notes in Computer Science, vol 4792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75759-7_55
Download citation
DOI: https://doi.org/10.1007/978-3-540-75759-7_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75758-0
Online ISBN: 978-3-540-75759-7
eBook Packages: Computer ScienceComputer Science (R0)