Shardlow, T. and Mills, A., 2008. Analysis of the geodesic interpolating spline. European Journal of Applied Mathematics, 19 (5), pp. 519-539.
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.
|Item Type ||Articles|
|Creators||Shardlow, T.and Mills, A.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||analysis_gis.pdf: © 2008 Cambridge University|
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