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.
机构:
Centre de Mathématiques, INSA de Rennes, 20 avenue des Buttes de Coë,smes, Rennes cédex,35043, FranceCentre de Mathématiques, INSA de Rennes, 20 avenue des Buttes de Coë,smes, Rennes cédex,35043, France