Collinearity and Weak Collinearity in the Digital Plane

  • Authors:
  • Peter Veelaert

  • Affiliations:
  • -

  • Venue:
  • Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
  • Year:
  • 2001

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Abstract

We discuss the optimal grouping of collinear line segments, where we use a digital form of collinearity as the grouping criterion. We also introduce weak collinearity as a new concept to facilitate the design of an efficient line grouping algorithm. This algorithm is based on the use of simplicial elimination orderings, as known in graph theory.