Please use this identifier to cite or link to this item: doi:10.22028/D291-26504
Title: A variational approach to the registration of tensor-valued images
Author(s): Barbieri, Sebastiano
Welk, Martin
Weickert, Joachim
Language: English
Year of Publication: 2008
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: We present a variational framework for the registration of tensor valued images. It is based on an energy functional with four terms: a data term based on a diffusion tensor constancy constraint, a compatibility term encoding the physical model linking domain deformations and tensor reorientation, and smoothness terms for deformation and tensor reorientation. Although the tensor deformation model employed here is designed with regard to diffusion tensor MRI data, the separation of data and compatibility term allows to adapt the model easily to different tensor deformation models. We minimise the energy functional with respect to both transformation fields by a multiscale gradient descent. Experiments demonstrate the viability and potential of this approach in the registration of tensor-valued images.
Link to this record: urn:nbn:de:bsz:291-scidok-47518
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 221
Date of registration: 5-Jun-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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