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Rank Constrained Diffeomorphic Density Motion Estimation for Respiratory Correlated Computed Tomography

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Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics (GRAIL 2017, MICGen 2017, MFCA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10551))

Abstract

Motion estimation of organs in a sequence of images is important in numerous medical imaging applications. The focus of this paper is the analysis of 4D Respiratory Correlated Computed Tomography (RCCT) Imaging. It is hypothesized that the quasi-periodic breathing induced motion of organs in the thorax can be represented by deformations spanning a very low dimension subspace of the full infinite dimensional space of diffeomorphic transformations. This paper presents a novel motion estimation algorithm that includes the constraint for low-rank motion between the different phases of the RCCT images. Low-rank deformation solutions are necessary for the efficient statistical analysis and improved treatment planning and delivery. Although the application focus of this paper is RCCT the algorithm is quite general and applicable to various motion estimation problems in medical imaging.

S. Joshi—This work was partially supported through research funding from the National Institute of Health (R01CA169102).

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Author information

Authors and Affiliations

  1. Department of Bioengineering, Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA

    Markus Foote & Sarang Joshi

  2. University of Maryland School of Medicine, Baltimore, MD, USA

    Pouya Sabouri & Amit Sawant

Authors
  1. Markus Foote
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  2. Pouya Sabouri
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  3. Amit Sawant
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  4. Sarang Joshi
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Corresponding author

Correspondence to Markus Foote .

Editor information

Editors and Affiliations

  1. University College London, London, United Kingdom

    M. Jorge Cardoso

  2. McGill University, Montreal, Québec, Canada

    Tal Arbel

  3. Imperial College London, London, United Kingdom

    Enzo Ferrante

  4. Inria Sophia, Sophia-Antipolis, France

    Xavier Pennec

  5. Harvard Medical School, Massachusetts Institute of Technology, Boston, Massachusetts, USA

    Adrian V. Dalca

  6. Imperial College London, London, United Kingdom

    Sarah Parisot

  7. University of Utah, Salt Lake City, Utah, USA

    Sarang Joshi

  8. University of Pennsylvania, Philadelphia, Pennsylvania, USA

    Nematollah K. Batmanghelich

  9. University of Pennsylvania, Philadelphia, Pennsylvania, USA

    Aristeidis Sotiras

  10. University of Copenhagen, Copenhagen, Denmark

    Mads Nielsen

  11. Cornell University, Ithaca, New York, USA

    Mert R. Sabuncu

  12. University of Utah, Salt Lake City, USA

    Tom Fletcher

  13. University of Indiana, Indianapolis, Indiana, USA

    Li Shen

  14. Brain and Spine Institute, Inria, Paris, France

    Stanley Durrleman

  15. University of Copenhagen, Copenhagen, Denmark

    Stefan Sommer

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Foote, M., Sabouri, P., Sawant, A., Joshi, S. (2017). Rank Constrained Diffeomorphic Density Motion Estimation for Respiratory Correlated Computed Tomography. In: Cardoso, M., et al. Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics. GRAIL MICGen MFCA 2017 2017 2017. Lecture Notes in Computer Science(), vol 10551. Springer, Cham. https://doi.org/10.1007/978-3-319-67675-3_16

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  • DOI: https://doi.org/10.1007/978-3-319-67675-3_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67674-6

  • Online ISBN: 978-3-319-67675-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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