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 hdl:20.500.11880/26560 http://dx.doi.org/10.22028/D291-26504 |
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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File | Description | Size | Format | |
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preprint_221_08.pdf | 534,9 kB | Adobe PDF | View/Open |
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