Abstract
A variational method to non rigid registration of multimodal image data is presented. A suitable deformation will be determined via the minimization of a morphological, i.e., contrast invariant, matching functional along with an appropriate regularization energy.
This work is supported by the Deutsche Forschungsgemeinschaft (DFG) — SPP 1114 Mathematical methods for time series analysis and digital image processing.
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
J. Ball, Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh, 88A (1988), pp. 315–328.
G. E. Christensen, R. D. Rabbitt, and M. I. Miller, Deformable templates using large deformation kinematics, IEEE Trans. Medical Imaging, 5, no. 10 (1996), pp. 1435–1447.
P. G. Ciarlet, Three-Dimensional Elasticity, Elsevier, New York, 1988.
U. Clarenz, M. Droske, and M. Rumpf, Towards fast non-rigid registration, in Inverse Problems, Image Analysis and Medical Imaging, AMS, 2001.
M. Droske and M. Rumpf, A variational approach to non-rigid morphological regi strati on, SIAM Appl. Math., (2003). submitted.
U. Grenander AND M. I. Miller, Computational anatomy: An emerging discipline, Quarterly Appl. Math., LVI, no. 4 (1998), pp. 617–694.
S. Henn and K. Witsch, Iterative multigrid regularization techniques for image matching, SIAM J. Sci. Comput. (SISC), Vol. 23 no. 4 (2001), pp. 1077–1093.
J. Modersitzki and B. Fischer, Fast diffusion registration, Special Issue of Contemporary Mathematics, AMS, (2000).
G. Sapiro, Geometric Partial Differential Equations and Image Analysis, Cambridge University Press, 2001.
J. P. Thirion, Image matching as a diffusion process: An analogy with Maxwell’s demons, Med. Imag. Anal., 2 (1998), pp. 243–260.
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
Droske, M., Rumpf, M., Schaller, C. (2003). Non-rigid Morphological Image Registration. In: Wittenberg, T., Hastreiter, P., Hoppe, U., Handels, H., Horsch, A., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2003. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18993-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-18993-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00619-0
Online ISBN: 978-3-642-18993-7
eBook Packages: Springer Book Archive