Abstract
Non-linear image registration can match two images’ local areas exactly. Linear elastic model that obeys the Navier-stokes equilibrium equations is especially fit for image registration with small deformation. Bro-Nielesen derived a linear elastic convolution filter from the eigenfunctions of the Navier-stokes differential operator. Based on the elastic filter, the elastic partial differential equation (PDE) is easy to be solved although the filter is mainly used in viscous PDE of fluid model at first. Gaussian filter used in the ‘demon’-based registration method of Thrion could be regarded as an approximation to the elastic filter. Because of the complexity of the elastic filter and the poor performance of the gaussian filter, we propose a new simple filter, two-sided exponential filter, to approach the elastic filter. The results of experiments also show the new filter improves the algorithm’s convergence speed and the precision greatly and its performance is superior to the other two filters.
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© 2004 Springer-Verlag Berlin Heidelberg
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Long, Zy., Yao, L., Peng, Dl. (2004). Fast Non-linear Elastic Registration in 2D Medical Image. In: Barillot, C., Haynor, D.R., Hellier, P. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2004. MICCAI 2004. Lecture Notes in Computer Science, vol 3216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30135-6_79
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DOI: https://doi.org/10.1007/978-3-540-30135-6_79
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