Polygonal approximation of digital planar curves through vertex betweenness

  • Authors:
  • André Ricardo Backes;Odemir Martinez Bruno

  • Affiliations:
  • Universidade Federal de Uberlíndia, Av. João Naves de Ávila, 2121 - Santa Mônica, Uberlíndia - MG, 38408-144 - Brazil;Universidade de São Paulo, Av. Prof Luciano Gualberto, 1289 - Sao Paulo, 05508-010, Brazil

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2013

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Abstract

Contour polygonal approximation is usually defined as a set of selected points, which describes a polygon and best represents the original contour. This paper presents a novel graph based approach to compute a polygonal approximation of a shape contour. In a graph, such points correspond to a high transitivity region of the graph. We use the vertex betweenness to measure the importance of each vertice in a graph according to the number of shortest paths where each vertice occurs. By selecting the vertices with higher vertex betweenness, a polygon which retains the main characteristics of the contour is achieved. By using benchmark curves, a comparative experiment with other commonly used algorithms is presented. Results indicate that the proposed approach produced efficient and effective polygonal approximations for digital planar curves.