Computing the Geodesic Interpolating Spline

Mills, Anna and Marsland, Stephen and Shardlow, Tony (2006) Computing the Geodesic Interpolating Spline. [MIMS Preprint]

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Abstract

We examine non-rigid image registration by knotpoint matching. We consider registering two images, each with a set of knotpoints marked, where one of the images is to be registered to the other by a nonlinear warp so that the knotpoints on the template image are exactly aligned with the corresponding knotpoints on the reference image. We explore two approaches to computing the Geodesic Interpolating Spline registration. First, we describe a method which exploits the structure of the objective function and constraints to permit efficient optimisation and second, we outline an approach using the framework of classical mechanics.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
MSC 2010, the AMS's Mathematics Subject Classification > 68 Computer science
MSC 2010, the AMS's Mathematics Subject Classification > 92 Biology and other natural sciences
Depositing User: Tony Shardlow
Date Deposited: 05 Jan 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/138

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