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Three-dimensional Prolate Spheroidal Extrapolation for Sparse DTI of the In-vivo Heart

Nicolas Toussaint 1, 2, * Christian T. Stoeck 3 Maxime Sermesant 2, 1, * Sebastian Kozerke 1, 3, 4 Philip G. Batchelor 1 
* Corresponding author
1 Division of Imaging Sciences
2 ASCLEPIOS - Analysis and Simulation of Biomedical Images
CRISAM - Inria Sophia Antipolis - Méditerranée
3 IBT - Institute for Biomedical Engineering [ETH Zürich]
4 NIHR Biomedical Research Centre [London]
Abstract : We propose to extrapolate sparsely distribut ed cardiac Diffusion Tensor Image data usi ng the prolate spheroidal coordinate syst em. To this end, a segmented shape of the left ventricle myocardium is ma pped to the closest truncated prolate spheroid using a non-linear symmetric diffeomorphic registration algorithm. Thereby, the tensor compone nts and spatial position can be expressed in prolate spheroida l coordinates. After extrapolation, dense tensor data are mapped back using th e symmetric transformation. Comp arison with the classic Cartesia n extrapolation shows better consistency of the tensor field at unknown positions. It is demonstrated that this shape-based extrapolation metho d allows for robust 3D estimation of the in-vivo fibre architecture of the left ventri cle in human hearts, as the pr olate spheroidal coordinates in trinsically contain the symmetry properties of cardiac fibres.
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Conference papers
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https://hal.inria.fr/inria-00616146
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Submitted on : Friday, August 19, 2011 - 7:32:17 PM
Last modification on : Saturday, June 25, 2022 - 11:06:38 PM

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  • HAL Id : inria-00616146, version 1

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Nicolas Toussaint, Christian T. Stoeck, Maxime Sermesant, Sebastian Kozerke, Philip G. Batchelor. Three-dimensional Prolate Spheroidal Extrapolation for Sparse DTI of the In-vivo Heart. Book of Abstracts, International Society in Magnetic Resonance in Medicine (ISMRM'10), 2010, Stockholm, United Kingdom. ⟨inria-00616146⟩

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