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Reconstruction of quasi developable surfaces from ribbon curves

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Abstract

This paper deals with the acquisition and reconstruction of physical surfaces by mean of a ribbon device equipped with micro-sensors, providing geodesic curves running on the surface. The whole process involves the reconstruction of these 3D ribbon curves together with their global treatment so as to produce a consistent network for the geodesic surface interpolation by filling methods based on triangular Coons-like approaches. However, the ribbon curves follow their own way, subdividing thus the surface into arbitrary n-sided patches. We present here a method for the reconstruction of quasi developable surfaces from such n-sided curvilinear boundary curves acquired with the ribbon device.

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Authors and Affiliations

  1. Atomic Energy and Alternative Energies Commission—Laboratoire, d’Electronique et de Technologies de l’Information (CEA—LETI), MINATEC Campus, Grenoble, France

    Mathieu Huard & Nathalie Sprynski

  2. Laboratoire Jean Kuntzmann, Université Joseph Fourier, Grenoble, France

    Nicolas Szafran & Luc Biard

Authors
  1. Mathieu Huard
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  2. Nathalie Sprynski
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  3. Nicolas Szafran
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  4. Luc Biard
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Correspondence to Luc Biard.

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Huard, M., Sprynski, N., Szafran, N. et al. Reconstruction of quasi developable surfaces from ribbon curves. Numer Algor 63, 483–506 (2013). https://doi.org/10.1007/s11075-012-9633-3

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  • DOI: https://doi.org/10.1007/s11075-012-9633-3

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