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  • European Journal of Applied Mathematics, Volume 19, Issue 5
  • October 2008, pp. 519-539

Analysis of the geodesic interpolating spline

  • ANNA MILLS (a1) and TONY SHARDLOW (a1)
  • DOI:
  • Published online: 01 October 2008

We study the geodesic interpolating spline with a biharmonic regulariser for solving the landmark image registration problem. We show existence of solutions, discuss uniqueness and show how the problem can be efficiently solved numerically. The main advantage of the geodesic interpolating spline is that it provides a diffeomorphism and we show this is preserved under our numerical approximation.

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European Journal of Applied Mathematics
  • ISSN: 0956-7925
  • EISSN: 1469-4425
  • URL: /core/journals/european-journal-of-applied-mathematics
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