Fractional regularization term for variational image registration
type: Item
instance of: scholarly article
title: Fractional regularization term for variational image registration
zbMATH Open document ID: 1191.68799
DOI: 10.1155/2009/707026
author: Rafael Verdú-Monedero
author: Jorge Larrey-Ruiz
author: Juan Morales-Sánchez
author: José Luis Sancho-Gómez
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45886
review text: Summary: 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.
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5632528
zbMATH Keywords: image analysis
Wikidata QID: Q58649449
describes a project that uses: FLIRT
MaRDI profile type: Publication
OpenAlex ID: W2084943853
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description: scientific article; zbMATH DE number 5632528