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A new approach to fast elastic alignment with applications to human brains

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Visualization in Biomedical Computing (VBC 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1131))

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Abstract

A technique is presented for elastic alignment applicable to human brains. The transformation which minimizes the distance measure D(u) between template and reference is determined, thereby simultaneously satisfying smoothness constraints derived from an elastic potential known from the theory of kontinuum mechanics. The resulting partial differential equations, with up to 3·220 unknowns are directly solved for each voxel, that is, without interpolation, by an adapted full multigrid-method (FMG) providing a perfect alignment. For further increases of resolution, the full advantages of the FMG are maintained, that is, parallelization and linear effort with O(N), N being the number of grid-points.

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Author information

Authors and Affiliations

  1. C. and O. Vogt Institute of Brain Research, Heinrich-Heine University Düsseldorf, Germany

    Thorsten Schormann, Stefan Henn & Karl Zilles

Authors
  1. Thorsten Schormann
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  2. Stefan Henn
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  3. Karl Zilles
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Karl Heinz Höhne Ron Kikinis

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© 1996 Springer-Verlag Berlin Heidelberg

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Schormann, T., Henn, S., Zilles, K. (1996). A new approach to fast elastic alignment with applications to human brains. In: Höhne, K.H., Kikinis, R. (eds) Visualization in Biomedical Computing. VBC 1996. Lecture Notes in Computer Science, vol 1131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0046971

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  • DOI: https://doi.org/10.1007/BFb0046971

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61649-8

  • Online ISBN: 978-3-540-70739-4

  • eBook Packages: Springer Book Archive

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