Map algebraic characterization of self-adapting neighborhoods

Authors:
Takeshi Shirabe
Affiliations:
Department of Geoinformation and Cartography, Vienna University of Technology, Vienna, Austria
Venue:
COSIT'09 Proceedings of the 9th international conference on Spatial information theory
Year:
2009

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Abstract

A class of map algebraic operations referred to as "focal" characterizes every location as a function of the geometry and/or attribute of all locations that belong to the "neighborhood" of that location. This paper introduces a new type of map algebraic neighborhood whose shape is unspecified but required to have a specified size. This paper explores how the use of such neighborhoods affects the design of focal operations, as well as their implementation and application. It is suggested that the proposed operations can contribute to site selection analyses, which are often subject to size restriction (e.g. due to limited budgets or environmental concerns), but needs more theoretical investigation for them to be fully operational in practice.