Fractional Regularization Term for Variational Image Registration
Joint Authors
Larrey-Ruiz, Jorge
Sancho-Gómez, José Luis
Morales-Sánchez, Juan
Verdú-Monedero, Rafael
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Image registration is a widely used task of image analysis with applications in many fields.
Its classical formulation and current improvements are given in the spatial domain.
In this paper a regularization term based on fractional order derivatives is formulated.
This term is defined and implemented in the frequency domain by translating the energy functional into the frequency domain and obtaining the Euler-Lagrange equations which minimize it.
The new regularization term leads to a simple formulation and design, being applicable to higher dimensions by using the corresponding multidimensional Fourier transform.
The proposed regularization term allows for a real gradual transition from a diffusion registration to a curvature registration which is best suited to some applications and it is not possible in the spatial domain.
Results with 3D actual images show the validity of this approach.
American Psychological Association (APA)
Verdú-Monedero, Rafael& Larrey-Ruiz, Jorge& Morales-Sánchez, Juan& Sancho-Gómez, José Luis. 2009. Fractional Regularization Term for Variational Image Registration. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-492145
Modern Language Association (MLA)
Verdú-Monedero, Rafael…[et al.]. Fractional Regularization Term for Variational Image Registration. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-492145
American Medical Association (AMA)
Verdú-Monedero, Rafael& Larrey-Ruiz, Jorge& Morales-Sánchez, Juan& Sancho-Gómez, José Luis. Fractional Regularization Term for Variational Image Registration. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-492145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492145