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On the Characterization of Axial Maps

Author

Listed:
  • J O Cerdeira

    (Departamento de Matemática, Instituto Superior de Agronomia, Tapada da Ajuda, 1399 Lisboa Codex, Portugal)

  • R Cordovil

    (Departamento de Matemática, Instituto Superior Técnico and Centro de Matemática e Aplicações Fundamentais, Avenida Professor Gama Pinto 2, 1699 Lisboa Codex, Portugal)

  • T V Heitor

    (Departamento de Engenharia Civil, Instituto Superior Técnico, Avenida Rovisco Pais, 1096 Lisboa Codex, Portugal)

Abstract

We propose a characterization of axial maps by means of an extension of a local property which has been proved to describe the cell decomposition of the plane induced by line arrangements. This gives a discrete model which is more closely related to axial maps than the usual representation by graphs.

Suggested Citation

  • J O Cerdeira & R Cordovil & T V Heitor, 1996. "On the Characterization of Axial Maps," Environment and Planning B, , vol. 23(6), pages 771-780, December.
    • Handle: RePEc:sae:envirb:v:23:y:1996:i:6:p:771-780
    DOI: 10.1068/b230771
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