TY - JOUR
T1 - Analysis of the geodesic interpolating spline
AU - Shardlow, Tony
AU - Mills, A
PY - 2008/10
Y1 - 2008/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=50849125110&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1017/S0956792508007493
U2 - 10.1017/S0956792508007493
DO - 10.1017/S0956792508007493
M3 - Article
SN - 0956-7925
VL - 19
SP - 519
EP - 539
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
IS - 5
ER -