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Moving Frames for Heart Fiber Reconstruction

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Information Processing in Medical Imaging (IPMI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9123))

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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.

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Notes

  1. 1.

    See [10] for these and other optimization strategies.

  2. 2.

    When Jacobian matrix computations are available using a combination of backward, central, and forward differences, we seed (7) using (6) which improves convergence.

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Author information

Authors and Affiliations

  1. School of Computer Science and Centre for Intelligent Machines, McGill University, Montreal, QC, Canada

    Emmanuel Piuze & Kaleem Siddiqi

  2. eScience Center, Department of Computer Science, University of Copenhagen, Copenhagen, Denmark

    Jon Sporring

Authors
  1. Emmanuel Piuze
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  2. Jon Sporring
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  3. Kaleem Siddiqi
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Corresponding author

Correspondence to Emmanuel Piuze .

Editor information

Editors and Affiliations

  1. Centre for Medical Image Computing, University College London, London, United Kingdom

    Sebastien Ourselin

  2. Centre for Medical Image Computing, University College London, London, United Kingdom

    Daniel C. Alexander

  3. Dept. of Radiology, Harvard Medical School Brigham and Women's Hospital, Boston, Massachusetts, USA

    Carl-Fredrik Westin

  4. Centre for Medical Image Computing, University College London, London, United Kingdom

    M. Jorge Cardoso

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Piuze, E., Sporring, J., Siddiqi, K. (2015). Moving Frames for Heart Fiber Reconstruction. In: Ourselin, S., Alexander, D., Westin, CF., Cardoso, M. (eds) Information Processing in Medical Imaging. IPMI 2015. Lecture Notes in Computer Science(), vol 9123. Springer, Cham. https://doi.org/10.1007/978-3-319-19992-4_41

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  • DOI: https://doi.org/10.1007/978-3-319-19992-4_41

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19991-7

  • Online ISBN: 978-3-319-19992-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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