Gradient field approximation: Application to registration in image processing

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 registrat...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2013-03, Vol.240, p.135-147
Main Authors: Le Guyader, Carole, Gout, Christian, Macé, Anne-Sophie, Apprato, Dominique
Format: Article
Language:English
Subjects:
Analysis of PDEs
Approximation
Conservative vector fields
Image processing
Mathematical analysis
Mathematical models
Mathematics
Minimization
Optimization
Registration
Uniqueness
Vectorial splines
Vectors (mathematics)
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2012.08.002