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4D Space-Time Delaunay Meshing for Medical Images

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Proceedings of the 22nd International Meshing Roundtable

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Summary

In this paper, we present a Delaunay refinement algorithm for 4- dimensional (3D+t) segmented images. The output mesh is proved to consist of sliver-free simplices. Assuming that the hyper-surface is a closed smooth manifold, we also guarantee faithful geometric and topological approximation. We implement and demonstrate the effectiveness of our method on publicly available segmented cardiac images.

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Authors and Affiliations

  1. Computer Science Department, College of William and Mary, Virginia, USA

    Panagiotis Foteinos

  2. Computer Science Department, Old Dominion University, Virginia, USA

    Panagiotis Foteinos & Nikos Chrisochoides

Authors
  1. Panagiotis Foteinos
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  2. Nikos Chrisochoides
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Correspondence to Panagiotis Foteinos .

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Editors and Affiliations

  1. Departament de Matemàtica Aplicada III, Polytechnic University of Catalonia, Barcelona, Spain

    Josep Sarrate

  2. Computational Simulation Infrastructure, Sandia National Laboratories, Albuquerque, New Mexico, USA

    Matthew Staten

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Foteinos, P., Chrisochoides, N. (2014). 4D Space-Time Delaunay Meshing for Medical Images. In: Sarrate, J., Staten, M. (eds) Proceedings of the 22nd International Meshing Roundtable. Springer, Cham. https://doi.org/10.1007/978-3-319-02335-9_13

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  • DOI: https://doi.org/10.1007/978-3-319-02335-9_13

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02334-2

  • Online ISBN: 978-3-319-02335-9

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