Analysis of the geodesic interpolating spline

Tony Shardlow, A Mills

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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.
Original languageEnglish
Pages (from-to)519-539
Number of pages31
JournalEuropean Journal of Applied Mathematics
Issue number5
Early online date23 Apr 2008
Publication statusPublished - Oct 2008


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