On the hyperfield or field-of-field concept

References

• Booch , G. , Rumbaugh , J. and Jacobson , I. 1999 . The unified modelling language user guide , Boston , MA : Addison Wesley .
   Google Scholar
• Boost, 2012. Boost C++ Libraries open-source project, ‘Smart Ptr’ Library [online]. http://www.boost.org (http://www.boost.org) (Accessed: 31 August 2012 ).
   Google Scholar
• Câmara , G. 2000 . Towards a unified framework for spatial data models . Journal of the Brazilian Computing Society , 7 : 17 – 25 .
   Google Scholar
• Couclelis , H. 1992 . “ People manipulate objects (but cultivate fields): beyond the raster–vector debate in GIS ” . In Theories and methods of spatio-temporal reasoning in geographic space. Lecture Notes in Computer Science , Edited by: Frank , A.U. and Campari , I. Vol. 639 , 65 – 77 . Berlin : Springer .
   Google Scholar
• Couclelis , H. 1997 . From cellular automata to urban models: new principles for model development and implementation . Environment and Planning B , 24 : 165 – 174 .
   Web of Science ®Google Scholar
• Cova , T.J. and Goodchild , M.F. 2002 . Extending geographical representation to include fields of spatial objects . International Journal of Geographical Information Science , 16 : 509 – 532 .
   Web of Science ®Google Scholar
• Galton , A.P. 2001 . “ A formal theory of objects and fields ” . In Spatial information theory: foundations of geographic information science. Lecture Notes in Computer Science , Edited by: Montello , D.R. Vol. 2205 , 458 – 473 . Berlin : Springer .
   Google Scholar
• Goodchild , M.F. 1992 . Geographical data modeling . Computers & Geosciences , 18 : 401 – 408 .
   Web of Science ®Google Scholar
• Goodchild , M.F. , Yuan , M. and Cova , T.J. 2007 . Towards a general theory of geographic representation in GIS . International Journal of Geographic Information Science , 21 : 239 – 260 .
   Web of Science ®Google Scholar
• Harvey , D. 1969 . Explanations in geography , London : Edward Arnolds .
   Google Scholar
• ISO 19123 . 2005 . Geographic information – schema for coverage geometry and functions , Geneva : ISO .
   Google Scholar
• ISO/IEC 19501 . 2005 . Information technology – Open distributed processing – unified modelling language (UML) Version 1.4.2 , Geneva : ISO .
   Google Scholar
• ISO/IEC 14882 . 2011 . Information technology – Programming languages – C++ , Geneva : ISO .
   Google Scholar
• Kjenstad , K. 2006 . On the integration of object-based models and field-based models in GIS . International Journal of Geographical Information Science , 20 : 491 – 509 .
   Web of Science ®Google Scholar
• OGC, 2006. The OpenGIS® abstract specification. Topic 6: schema for coverage geometry and functions. Version 7.0.0. Open Geospatial Consortium Inc.[online]. http://www.opengeospatial.org (http://www.opengeospatial.org) (Accessed: 31 August 2012 ).
   Google Scholar
• Takeyama , M. 1997 . Building spatial models within GIS through geo-algebra . Transactions in GIS , 2 : 245 – 256 .
   Google Scholar
• Takeyama , M. and Couclelis , H. 1997 . Map dynamics: integrating cellular automata and GIS through Geo-Algebra . International Journal of Geographical Information Science , 11 : 73 – 91 .
   Web of Science ®Google Scholar
• Tomlin , C.D. 1990 . Geographic information systems and cartographic modelling , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Voudouris , V. 2010 . Towards a unifying formalization of geospatial representation: the object-field model with uncertainty and semantics . International Journal of Geographical Information Science , 24 : 1811 – 1828 .
   Web of Science ®Google Scholar
• Weisstein, E.W., 2012. Vector Space. MathWorld – a Wolfram web resource [online]. http://mathworld.wolfram.com (http://mathworld.wolfram.com) (Accessed: 31 August 2012 ).
   Google Scholar
• Winter , S. and Frank , A.U. 2000 . Topology in raster and vector representation . GeoInformatica , 4 : 35 – 65 .
   Google Scholar