Indeterminacy and Rough Approximation

Thomas Bittner

This paper deals with the problem of merging descriptions of approximate spatial location specified at different levels of granularity. We distinguish between the roughness of an approximation at a given level of granularity and the indeterminacy that arises when approximations are transformed from one level of granularity to another. Indeterminacy arises in particular when an approximation is transformed (lifted) to a finer level of granularity and when a approximation in a gappy level of granularity (e.g., a map with 'white spaces’ of unknown territories) is transformed (generalized) to a coarser level of granularity.

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