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Analysis of the geodesic interpolating spline

Published online by Cambridge University Press:  01 October 2008

ANNA MILLS  and
TONY SHARDLOW
ANNA MILLS
Affiliation:
School of Mathematics, The University of Manchester, Manchester M60 1QD, UK
TONY SHARDLOW
Affiliation:
School of Mathematics, The University of Manchester, Manchester M60 1QD, UK
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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.

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Type
Papers
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European Journal of Applied Mathematics , Volume 19 , Issue 5 , October 2008 , pp. 519 - 539
Copyright
Copyright © Cambridge University Press 2008

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