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High Order Slice Interpolation for Medical Images

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Simulation and Synthesis in Medical Imaging (SASHIMI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10557))

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In this paper we introduce a high order object- and intensity-based method for slice interpolation. Similar structures along the slices are registered using a symmetric similarity measure to calculate displacement fields between neighboring slices. For the intensity-based and curvature-regularized registration no manual landmarks are needed but the structures between two subsequent slices have to be similar. The set of displacement fields is used to calculate a natural spline interpolation for structural motion that avoids kinks. Along every correspondence point trajectory, again high order intensity interpolating splines are calculated for gray values. We test our method on an artificial scenario and on real MR images. Leave-one-slice-out evaluations show that the proposed method improves the slice estimation compared to piecewise linear registration-based slice interpolation and cubic interpolation.

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  1. 1.


  1. Baghaie, A., Yu, Z.: An optimization method for slice interpolation of medical images [cs], February 2014. arXiv:1402.0936

  2. Fischer, B., Modersitzki, J.: A unified approach to fast image registration and a new curvature based registration technique. Linear Algebra Appl. 380, 107–124 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Frakes, D.H., Dasi, L.P., Pekkan, K., Kitajima, H.D., Sundareswaran, K., Yoganathan, A.P., Smith, M.J.T.: A new method for registration-based medical image interpolation. IEEE Trans. Med. Imaging 27(3), 370–377 (2008)

    Article  Google Scholar 

  4. Grevera, G.J., Udupa, J.K.: An objective comparison of 3-D image interpolation methods. IEEE Trans. Med. Imaging 17(4), 642–652 (1998)

    Article  Google Scholar 

  5. Hairer, E., Wanner, G.: Introduction à l’analyse numérique (2005) [Accessed: 28 July 2017].

  6. Leng, J., Xu, G., Zhang, Y.: Medical image interpolation based on multi-resolution registration. Comput. Math. Appl. 66(1), 1–18 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  7. Penney, G.P., Schnabel, J.A., Rueckert, D., Viergever, M.A., Niessen, W.J.: Registration-based interpolation. IEEE Trans. Med. Imaging 23(7), 922–926 (2004)

    Article  Google Scholar 

  8. Rueckert, D., Sonoda, L.I., Hayes, C., Hill, D.L., Leach, M.O., Hawkes, D.J.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Trans. Med. Imaging 18(8), 712–721 (1999)

    Article  Google Scholar 

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Correspondence to Antal Horváth .

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Horváth, A., Pezold, S., Weigel, M., Parmar, K., Cattin, P. (2017). High Order Slice Interpolation for Medical Images. In: Tsaftaris, S., Gooya, A., Frangi, A., Prince, J. (eds) Simulation and Synthesis in Medical Imaging. SASHIMI 2017. Lecture Notes in Computer Science(), vol 10557. Springer, Cham.

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68126-9

  • Online ISBN: 978-3-319-68127-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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