Reconstructible pairs of incomplete polyhedral line drawings

  • Seiji Ishikawa
  • Kiyoshi Kato
Syntactic and Stractural
Part of the Lecture Notes in Computer Science book series (LNCS, volume 301)


The present paper describes the reconstructibility of a polyhedron from a pair of its incomplete line drawings. A polyhedral scene is photographed by a binocular vision system, and a pair of polyhedral line drawings are obtained from the pictures. These line drawings usually have some missing edges, which gives rise to complication in their analysis. There are, however, cases where a polyhedron can be reconstructed even from the incomplete line drawings. In the present paper, the relation between the incompleteness of the line drawings and the reconstructibility is studied under a certain restricted reconstruction procedure, and the necessary and sufficient condition is given for a polyhedron to be reconstructed from its incomplete line drawings pair.


State Vector Tree Search Line Drawing Binocular Vision Start Node 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Seiji Ishikawa
    • 1
  • Kiyoshi Kato
    • 1
  1. 1.Department of Computer Science Faculty of EngineeringKyushu Institute of TechnologyKitakyushuJAPAN

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