Surface reconstruction via geodesic interpolation

  • Authors:
  • N. Sprynski;N. Szafran;B. Lacolle;L. Biard

  • Affiliations:
  • CEA MINATEC, LETI/DCIS/SMOC, Grenoble, France;Laboratoire Jean Kuntzmann, Université Joseph Fourier - Grenoble, France;Laboratoire Jean Kuntzmann, Université Joseph Fourier - Grenoble, France;Laboratoire Jean Kuntzmann, Université Joseph Fourier - Grenoble, France

  • Venue:
  • Computer-Aided Design
  • Year:
  • 2008

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Abstract

This paper is concerned with reconstruction of numerical or real surfaces based on the knowledge of some geodesic curves on the surface. So, considering two regular 3D-curves f"0(t) and f"1(t), our purpose is to construct a surface which interpolates these two curves in such a way that these two curves are geodesics on this surface. This will be accomplished using Hermite interpolation. For a real surface, it will be shown that geodesics can be acquired using a ribbon of micro-sensors.