On the hyperfield or field-of-field concept
This article introduces the concept of hyperfield as a recursive field-of-field structure using a Unified Modelling Language (UML) modelling approach in two different variants, the hyperfield instance and hyperfield template models. The recursive property defines
a hyperfield of degree n as a representation of a relation between n locations in space, and where the normal field and constant value are special cases. Fields exposing vector space algebra may be used in the construction of a hyperfield of degree n. Inherent properties
such as interpolation, dual appearance, fixed points and dual domain are discussed. There is also a description on how to implement the model in a generic programming language environment.
Keywords: GIS; UML; field; hyperfield
Document Type: Research Article
Affiliations: Kongsberg Defence Systems, Kongsberg, Norway
Publication date: 01 May 2013
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