Gradient field approximation: Application to registration in image processing

Carole Le Guyader (1) , Christian Gout (1) , Anne-Sophie Macé (1) , Dominique Apprato (2)

1 LMI - Laboratoire de Mathématiques de l'INSA de Rouen Normandie
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

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.

Domaines: Equations aux dérivées partielles [math.AP]

Carole Le Guyader, Christian Gout, Anne-Sophie Macé, Dominique Apprato. Gradient field approximation: Application to registration in image processing. Journal of Computational and Applied Mathematics, 2013, 240, pp.135-147. ⟨10.1016/j.cam.2012.08.002⟩. ⟨hal-01022821⟩