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GeoInformatica

, Volume 13, Issue 2, pp 183–202 | Cite as

Yet Another Map Algebra

  • João Pedro Cerveira CordeiroEmail author
  • Gilberto Câmara
  • Ubirajara Moura de Freitas
  • Felipe Almeida
Article

Abstract

This paper describes features of a language approach for map algebra based on the use of algebraic expressions that satisfy a concise formalism. To be consistent with formal approaches such as geoalgebra and image algebra, the proposed algebraic expressions are suitable not only for the usual modeling of layers but also to describe variable neighborhoods and zones. As a compromise between language and implementation issues we present an implementation strategy based on the theory of automata. The result is an efficient way of implementing map algebra that simplifies its use on environmental and dynamic models without going too far from its well-known paradigm.

Keywords

map algebra cartographic modeling spatial analysis formal languages automata dynamic modeling 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • João Pedro Cerveira Cordeiro
    • 1
    Email author
  • Gilberto Câmara
    • 1
  • Ubirajara Moura de Freitas
    • 2
  • Felipe Almeida
    • 3
  1. 1.Divisão de Processamento de ImagensInstituto Nacional de Pesquisas Espaciais (DPI–INPE)São José dos CamposBrazil
  2. 2.Departamento de GeoprocessamentoFundação para Ciência, Technologia e Aplicações Espaciais (FUNCATE)São José dos CamposBrazil
  3. 3.Instituto Tecnológico da AeronáuticaCentro Técnico Aeroespacial (ITA–CTA)São José dos CamposBrazil

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