European Journal of Applied Mathematics

Papers

Analysis of the geodesic interpolating spline

ANNA MILLSa1 and TONY SHARDLOWa1

a1 School of Mathematics, The University of Manchester, Manchester M60 1QD, UK

Abstract

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.

(Received July 17 2007)

(Revised March 12 2008)

(Online publication April 24 2008)