Gradient field approximation: Application to registration in image processing

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• 作者：Carole Le Guyader^a ; Christian Gout^a ; ^{christian.gout@insa-rouen.fr} ; Anne-Sophie Macé ; ^a ; Dominique Apprato^b
• 关键词：41A15 ; 41A25 ; 68U10
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2013
• 出版时间：1 March, 2013
• 年：2013
• 卷：240
• 期：Complete
• 页码：135-147
• 全文大小：2237 K

文摘

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.