Resumen de Gradient field approximation: Application to registration in image processing

Carole Le Guyader, Christian Gout, Anne-Sophie Macé, Dominique Apprato

• 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.Weapply this approach to a registration process in image processing.