Abstract
Hybrid registration schemes are a powerful alternative to fully automatic registration algorithms. Current methods for hybrid registration either include the landmark information as a hard constraint, which is too rigid and leads to difficult optimization problems, or as a soft-constraint, which introduces a difficult to tune parameter for the landmark accuracy. In this paper we model the deformations as a Gaussian process and regard the landmarks as additional information on the admissible deformations. Using Gaussian process regression, we integrate the landmarks directly into the deformation prior. This leads to a new, probabilistic regularization term that penalizes deformations that do not agree with the modeled landmark uncertainty. It thus provides a middle ground between the two aforementioned approaches, without sharing their disadvantages. Our approach works for a large class of different deformation priors and leads to a known optimization problem in a Reproducing Kernel Hilbert Space.
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References
Christensen, G.E., Miller, M.I., Vannier, M.W., Grenander, U.: Individualizing neuro-anatomical atlases using a massively parallel computer. Computer 29(1), 32–38 (1996)
Fischer, B., Modersitzki, J.: Combination of automatic non-rigid and landmark based registration: the best of both worlds. Medical Imaging, 1037–1048 (2003)
Haber, E., Heldmann, S., Modersitzki, J.: A Scale-Space approach to landmark constrained image registration. Scale Space and Variational Methods in Computer Vision, 612–623 (2009)
Hein, M., Bousquet, O.: Kernels, associated structures and generalizations. Max-Planck-Institut fuer biologische Kybernetik, Technical Report (2004)
Johnson, H.J., Christensen, G.E.: Consistent landmark and intensity-based image registration. IEEE Transactions on Medical Imaging 21(5), 450–461 (2002)
Lu, H., Cattin, P., Reyes, M.: A hybrid multimodal non-rigid registration of MR images based on diffeomorphic demons. In: International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 5951–5954 (2010)
Micchelli, C.A., Pontil, M.: On learning vector-valued functions. Neural Computation 17(1), 177–204 (2005)
Papademetris, X., Jackowski, A.P., Schultz, R.T., Staib, L.H., Duncan, J.S.: Integrated intensity and point-feature nonrigid registration. In: Barillot, C., Haynor, D.R., Hellier, P. (eds.) MICCAI 2004. LNCS, vol. 3216, pp. 763–770. Springer, Heidelberg (2004)
Papenberg, N., Olesch, J., Lange, T., Schlag, P.M., Fischer, B.: Landmark constrained non-parametric image registration with isotropic tolerances. Bildverarbeitung für die Medizin 2009, 122–126 (2009)
Rasmussen, C.E., Williams, C.K.: Gaussian processes for machine learning. Springer, Heidelberg (2006)
Schaback, R.: Creating surfaces from scattered data using radial basis functions. Mathematical Methods for Curves and Surfaces, 477–496 (1995)
Schölkopf, B., Herbrich, R., Smola, A.: A generalized representer theorem. In: Computational Learning Theory, pp. 416–426 (2001)
Schölkopf, B., Steinke, F., Blanz, V.: Object correspondence as a machine learning problem. In: ICML 2005: Proceedings of the 22nd International Conference on Machine Learning, pp. 776–783. ACM Press, New York (2005)
Sorzano, C.O.S., Thevenaz, P., Unser, M.: Elastic registration of biological images using vector-spline regularization. IEEE Transactions on Biomedical Engineering 52(4), 652–663 (2005)
Unser, M.: Splines: A perfect fit for signal and image processing. IEEE Signal Processing Magazine 16(6), 22–38 (1999)
Wahba, G.: Spline models for observational data. Society for Industrial Mathematics (1990)
Wörz, S., Rohr, K.: Hybrid spline-based elastic image registration using analytic solutions of the navier equation. Bildverarbeitung für die Medizin 2007, 151–155 (2007)
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Lüthi, M., Jud, C., Vetter, T. (2011). Using Landmarks as a Deformation Prior for Hybrid Image Registration. In: Mester, R., Felsberg, M. (eds) Pattern Recognition. DAGM 2011. Lecture Notes in Computer Science, vol 6835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23123-0_20
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DOI: https://doi.org/10.1007/978-3-642-23123-0_20
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