Recognition and Reconstruction of Developable Surfaces from Point Clouds

  • Authors:
  • Affiliations:
  • Venue:
  • GMP '04 Proceedings of the Geometric Modeling and Processing 2004
  • Year:
  • 2004

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Abstract

Given a cloud P of data points, we present techniquesand algorithms to decide whether P could be measurementsof a developable surface and to reconstruct the originalshape of the surface. We will use the dual approach to developablesurfaces, which says that a developable surfacecan be considered as envelope of a one-parameter family ofplanes. A classification will be given which detects cones,cylinders, and developable surfaces of constant slope. Finallywe discuss the problems occurring in this context.