Measuring Geodesic Distances on the Space of Bounded Diffeomorphisms

  title={Measuring Geodesic Distances on the Space of Bounded Diffeomorphisms},
  author={Carole J. Twining and Stephen R. Marsland and Christopher J. Taylor},
This paper considers the problem of measuring the differences between deformations. It is intended to be applied in the context of applications such as the analysis of sets of non-rigidly registered medical images, where diffeomorphic warps between pairs of images establish a dense pixel-to-pixel correspondence. We introduce a new spline with explicit boundary conditions, and show how this can be used to generate general flows of bounded diffeomorphisms. Techniques are developed to describe an… CONTINUE READING

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