Abstract
The present paper derives two new equations for the nonlinear registration of images based on Euler-Lagrange equations. It offers a systematic way to construct fluid extensions to registration equations based on variational principles.
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
Christensen GE, Rabbit RD, Miller MI. Deformable templates using large deformation kinematics. IEEE Trans Image Process. 1996;10(5):1435–47.
Bro-Nielsen M, Gramkow C. Fast fluid registration of medical images. Proc VBC. 1996; p. 267–76.
Braumann UD, Kuska JP. A new equation for nonlinear image registration with control over the vortex structure in the displacement field. Proc ICIP. 2006; p. 329–32.
Amit Y. A nonlinear variational problem for image matching. SIAM J Sci Comp. 1994;15(1):207–24.
Modersitzki J. Numerical Methods for Image Registration. New York, NY: Oxford University Press; 2004.
Fischer B, Modersitzki J. A unified approach to fast image registration and a new curvature based registration technique. Linear Algebra Appl. 2004;380:107–24.
Fischer B, Modersitzki J. Fast diffusion registration. AMS Contemporary Mathematics, Inverse Problems, Image Analysis, and Medical Imaging. 2002;313:117–29.
Fischer B, Modersitzki J. Curvature based image registration. J Math Imaging Vis. 2003;18(1):81–5.
Cabral B, Leedom LC. Imaging vector fields using line integral convolution. Proc SIGGRAPH. 1993; p. 263–72.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kuska, JP., Scheibe, P., Braumann, UD. (2008). Fluid Extensions for Optical Flow and Diffusion-Based Image Registration. In: Tolxdorff, T., Braun, J., Deserno, T.M., Horsch, A., Handels, H., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2008. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78640-5_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-78640-5_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78639-9
Online ISBN: 978-3-540-78640-5
eBook Packages: Computer Science and Engineering (German Language)