Gradient field approximation: Application to registration in image processing

Authors:
Carole Le Guyader;Christian Gout;Anne-Sophie Macé;Dominique Apprato
Affiliations:
INSA de Rouen, Laboratoire de Mathématiques de l'INSA, Avenue de l'Universite, 76801 St Etienne du Rouvray cedex, France;INSA de Rouen, Laboratoire de Mathématiques de l'INSA, Avenue de l'Universite, 76801 St Etienne du Rouvray cedex, France;INSA de Rouen, Laboratoire de Mathématiques de l'INSA, Avenue de l'Universite, 76801 St Etienne du Rouvray cedex, France;Université de Pau, LMA-CNRS, UFRSciences et Technologies de la Côte Basque, All. Parc Montaury, 64600 Anglet, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

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Abstract

We study a spline-based approximation of vector fields in the conservative case (the gradient vector field derives from a potential function). We introduce a minimization problem on a Hilbert space for which the existence and uniqueness of the solution is given. We apply this approach to a registration process in image processing.