Abstract
Navigation for neurosurgical procedures must be highly accurate. Often small structures are hardly seen on pre-operative scans. Fitting a 3D electronic neuro-anatomical atlas on the data assists with the localization of small structures and dim outlines. During surgery also brainshifts occurs. With intra-operative MRI the pre-operative MRI can be warped to the real 3D situation. The paper describes a general 3D landmark-based warping method, based on radial basis functions (thin plate splines) for data of any number of dimensions, including all code in Mathematica.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bookstein, F. (1989) Principal warps: thin-plate splines and the decomposition of deformations. IEEE Trans. Pattern Analysis Machine Intelligence 11(6): 567–585.
Carr J.C., Fright W.R., Beatson R.K. (1997) Surface interpolation with radial basis functions for medical imaging. IEEE transactions on medical imaging, Vol. 16, No. 1.
Free S.L., O’Higgins P, Maudgil D.D., Dryden I.L., (2001) Landmark-Based morphometrics of the normal adult brain using MRI. NeuroImage 13 801–813.
Grachev I.D., Berdichevsky D., Rauch S.L. (1999) A method for assessing the accuracy of intersubject registration of the human brain using anatomic landmarks. NeuroImage 9, 250–268.
Levin D., Dey D., Slomka P.J. (2004) Acceleration of 3D, nonlinear warping using standard video graphics hardware: implementation and initial validation. Computerized Medical Imaging and Graphics 28: 471–483.
Nowinski W.L., Thirunavuukarasuu A. (2001) Atlas-assisted localization analysis of functional images. Medical Image Analysis 5, 207–220.
Nowinski W.L., (2001) Technical Report: Modified Talairach Landmarks. Acta Neurochir 143: 1045–1057 Wien.
Nowinski W.L., Belov D. (2003) The Cerefy Neuroradiology Atlas: a Talairach-Tournoux atlas-based tool for analysis of neuroimages available over the internet. NeuroImage 20, 50–57.
Rizzo G., Scifo P., Gilardi M.C. (1997) Matching a computerized brain atlas to multimodal medical images, NeuroImage 6, 59–69.
Talairach J., Tournoux P. (1988) Co-planar stereotactic atlas of the human brain. Georg Thiem Verlag/Thieme Medical Publishers, Stuttgart New York.
Talairach J., Tournoux P. (1993) Referentially oriented cerebral MRI anatomy. Atlas of stereotaxic anatomical correlations for gray and white matter. GeorgThieme Verlag/Thieme Medical Publishers, Stuttgart New York.
Verard L., Allain P., Travere J.M. (1997) Fully automatic identification of AC and PC landmarks on brain MRI using scene analysis. IEEE transactions on medical imaging, Vol. 16, No. 5.
M. Arigovindan, M. Sühling, P. Hunziker, and M. Unser. Variational image reconstruction from arbitrarily spaced samples: A fast multiresolution spline solution. IEEE-TIP, 14(4):450–460, April 2005.
J. Duchon, in Constructive theory of functions of several variables, W. Schempp and K. Zeller, editors. Splines minimizing rotation-invariant semi-norms in Sobolev spaces. Springer Verlag, 1976.
J. Kybic, T. Blu, and M. Unser. Generalized sampling: a variational approach, part I: Theory. IEEE Transactions on Signal Processing, 50:1965, 1976, August 2002.
Mathematica 5.2, URL: www.wolfram.com.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bennink, H.E., Korbeeck, J.M., Janssen, B.J., ter Haar Romeny, B.M. (2007). Warping a Neuro-Anatomy Atlas on 3D MRI Data with Radial Basis Functions. In: Ibrahim, F., Osman, N.A.A., Usman, J., Kadri, N.A. (eds) 3rd Kuala Lumpur International Conference on Biomedical Engineering 2006. IFMBE Proceedings, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68017-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-68017-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68016-1
Online ISBN: 978-3-540-68017-8
eBook Packages: EngineeringEngineering (R0)