Reconstruction of concurrent lines from leaning points

  • Authors:
  • Peter Veelaert;Michaël Heyvaert

  • Affiliations:
  • University College Ghent, Engineering Sciences - Ghent University, Ghent, Belgium;University College Ghent, Engineering Sciences - Ghent University, Ghent, Belgium

  • Venue:
  • IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
  • Year:
  • 2011

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Abstract

In this paper we formulate an alternative approach to the sketch recognition problem. The figure to be recognized from a sketch is specified as a set of geometric line relationship rules. This approach normally has a high computational cost as it essentially is a non-linear optimization problem. We show that for some cases this cost can be avoided by approaching the geometric relationships testing as a ruler construction. In this paper we formulate the recognition problem and consider the construction of line concurrency relationships in detail. We show that the ruler construction is always possible for non-cyclic concurrency relations.