2006.4: Computing the Geodesic Interpolating Spline

2006.4: Anna Mills, Stephen Marsland and Tony Shardlow (2006) Computing the Geodesic Interpolating Spline.

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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.

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