Abstract
We introduce a new non-linear registration model based on a curvature type regularizer. We show that affine linear transformations belong to the kernel of this regularizer. Consequently, an additional global registration is superfluous. Furthermore, we present an implementation of the new scheme based on the numerical solution of the underlying Euler-Lagrange equations. The real DCT is the backbone of our implementation and leads to a stable and fast \(\mathcal{O}\left( {n{\text{ log }}n} \right)\) algorithm, where n denotes the number of voxels. We demonstrate the advantages of the new technique for synthetic data sets. Moreover, first convincing results for the registration of MR-mammography images are presented.
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
Broit C: Optimal registration of deformed images. PhD thesis, Computer and Information Science, University of Pennsylvania, 1981.
Bajcsy R, Kovačič S: Multiresolution elastic matching. Computer Vision, Graphics and Image processing, 46:1–21, 1989.
Amit Y: A nonlinear variational problem for image matching. SIAM J. Sei. Comp., 15(l):207–224, 1994.
Christensen GE: Deformable shape models for anatomy. PhD thesis, Sever Institute of Technology, Washington University, 1994.
Bro-Nielsen M: Medical image registration and surgery simulation. PhD thesis, IMM, Technical University of Denmark, 1996.
Fischer B, Modersitzki J: Fast inversion of matrices arising in image processing. Numerical Algorithms, 22:1–11, 1999.
Hackbusch W: Partial differential Equations. Teubner, Stuttgart, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fischer, B., Modersitzki, J. (2002). Fast Curvature Based Registration of MR-mammography Images. In: Meiler, M., Saupe, D., Kruggel, F., Handels, H., Lehmann, T.M. (eds) Bildverarbeitung für die Medizin 2002. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55983-9_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-55983-9_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43225-8
Online ISBN: 978-3-642-55983-9
eBook Packages: Springer Book Archive