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Combining geodesic interpolating splines and affine transformations

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1 Author(s)
Younes, L. ; Dept. of Appl. Math., Johns Hopkins Univ., Baltimore, MD, USA

Geodesic spline interpolation is a simple and efficient approach for landmark matching by nonambiguous mappings (diffeomorphisms), combining classic spline interpolation and flows of diffeomorphisms. Here, we extend the method to incorporate the estimation of a affine transformation, yielding a consistent and numerically stable algorithm. A theoretical justification is provided by studying the existence of the global minimum of the energy.

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Image Processing, IEEE Transactions on  (Volume:15 ,  Issue: 5 )