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Image-based mesh generation of tubular geometries under circular motion in refractive environments

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Abstract

This paper presents an image-based method aimed at generating a mesh of high-order finite elements on a tubular structure. The method assumes that the object is immersed in a liquid with known refractive coefficients and the images are recorded by moving the camera on a circular path around the object. Both the refractive effects and the camera motion are taken into account by a modified bundle adjustment formulation, which allows for an accurate reconstruction even in the presence of the optical interface. A parametric surface is fitted onto the resulting point cloud by an iterative surface fitting algorithm. Finally, the resulting surface is discretized into a mesh of high-order hexahedral elements.

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Acknowledgements

The authors thank Mr. Avihai Uzan (Department of Mechanical Engineering, Ben Gurion University, Israel) for his assistance with the experiment in Sect. 3.3. The research was funded by the German-Israeli Foundation for Scientific Research and Development under Grant No. GIF-1189-89.2/2012. This support is gratefully acknowledged.

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Authors and Affiliations

  1. Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333, Munich, Germany

    László Kudela, Felix Frischmann, Stefan Kollmannsberger & Ernst Rank

  2. Department of Mechanical Engineering, Ben-Gurion University of the Negev, 84105, Beersheba, Israel

    Ofry E. Yossef

  3. School of Mechanical Engineering, Tel-Aviv University, 69978, Ramat-Aviv, Israel

    Zohar Yosibash

  4. Institute for Advanced Study, Technische Universität München, Munich, Germany

    Ernst Rank

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  1. László Kudela
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  2. Felix Frischmann
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  4. Stefan Kollmannsberger
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  5. Zohar Yosibash
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  6. Ernst Rank
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Correspondence to László Kudela.

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Kudela, L., Frischmann, F., Yossef, O.E. et al. Image-based mesh generation of tubular geometries under circular motion in refractive environments. Machine Vision and Applications 29, 719–733 (2018). https://doi.org/10.1007/s00138-018-0921-3

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  • DOI: https://doi.org/10.1007/s00138-018-0921-3

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