From sketch to solid: an algebraic cross-section criterion for the realizability of a wireframe sketch

  • Authors:
  • Sofia Kyratzi;Nickolas S. Sapidis

  • Affiliations:
  • University of the Aegean, Department of Product and Systems Design Engineering, 84100, Ermoupolis, Syros, Greece;University of the Aegean, Department of Product and Systems Design Engineering, 84100, Ermoupolis, Syros, Greece

  • Venue:
  • Computing - Geometric Modelling, Dagstuhl 2008
  • Year:
  • 2009

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Abstract

An intermediate step in the construction of a polyhedron from a partial-view sketch is the derivation of a realizable wireframe sketch, i.e., a complete sketch which is guaranteed to be the projection of a polyhedron. This paper presents a robust realizability-test based on the classical “cross-section criterion” that was developed in a geometric “ruler-and-compass” framework.