Abstract
The method of moving frames provides powerful geometrical tools for the analysis of smoothly varying frame fields. However, in the face of missing measurements, a reconstruction problem arises, one that is largely unexplored for 3D frame fields. Here we consider the particular example of reconstructing impaired cardiac diffusion magnetic resonance imaging (dMRI) data. We combine moving frame analysis with a diffusion inpainting scheme that incorporates rule-based priors. In contrast to previous reconstruction methods, this new approach uses comprehensive differential descriptors for cardiac fibers, and is able to fully recover their orientation. We demonstrate the superior performance of this approach in terms of error of fit when compared to alternate methods. We anticipate that these tools could find application in clinical settings, where damaged heart tissue needs to be replaced or repaired, and for generating dense fiber volumes in electromechanical modelling of the heart.
Original language | English |
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Title of host publication | Information Processing in Medical Imaging : 24th international conference, IPMI 2015, Sabhal Mor Ostaig, Isle of Skye, UK, June 28 - July 3, 2015, Proceedings |
Editors | Sebastien Ourselin, Daniel C. Alexander, Carl-Fredrik Westin, M. Jorge Cardoso |
Number of pages | 13 |
Publisher | Springer |
Publication date | 2015 |
Pages | 527-539 |
ISBN (Print) | 978-3-319-19991-7 |
ISBN (Electronic) | 978-3-319-19992-4 |
DOIs | |
Publication status | Published - 2015 |
Event | 24th International Conference, Information Processing in Medical Imaging - Sabhal Mor Ostaig, Isle of Skye, United Kingdom Duration: 28 Jun 2015 → 3 Jul 2015 Conference number: 24 |
Conference
Conference | 24th International Conference, Information Processing in Medical Imaging |
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Number | 24 |
Location | Sabhal Mor Ostaig |
Country/Territory | United Kingdom |
City | Isle of Skye |
Period | 28/06/2015 → 03/07/2015 |
Series | Lecture notes in computer science |
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Volume | 9123 |
ISSN | 0302-9743 |