Towards a unifying formalisation of geographic representation: the object–field model with uncertainty and semantics

References

• Angel , S. and Hyman , G.M. 1976 . Urban fields: a geometry of movement for regional science , London : Pion .
   Google Scholar
• Anselin , L. and Getis , A. 1992 . Spatial statistical analysis and geographic information systems . The Annals of Regional Science , 26 : 19 – 33 .
   Web of Science ®Google Scholar
• Arlow , J. and Neustadt , I. 2002 . UML and the unified process: practical object-oriented analysis & design , London: Addison-Wesley .
   Google Scholar
• Atkinson , R.C. and Shiffrin , R.M. 1968 . “ Human memory: a proposed system and its control processes ” . In The psychology of learning and motivation: advances in research and theory , Edited by: Spence , K.W. and Spence , J.T. New York : Academic Press .
   Google Scholar
• Ballard , D. 1981 . Strip trees: a hierarchical representation for curves , New York : Communications of the ACM, ACM .
   Google Scholar
• Batten , D.F. 2000 . Discovering artificial economics: how agents learn and economies evolve , Boulder, CO : Westview Press .
   Google Scholar
• Batty , M. 2005 . “ Network geography: relations, interactions, scaling and spatial processes in GIS ” . In Re-presenting GIS , Edited by: Fisher , P.F. and Unwin , D. Chichester, UK : Wiley .
   Google Scholar
• Berry , B. 1964 . Approaches to regional analysis: a synthesis . Annals of the Association of American Geographers , 54 : 2 – 11 .
   Web of Science ®Google Scholar
• Burrough , P.A. and McDonnell , R.A. 2004 . Principles of geographical information systems , Oxford : Oxford University Press .
   Google Scholar
• Camara , G. 2000 . “ Towards a unified framework for geographical data models ” . In Geoinfo 2000: workshop Brasileiro de geoinformatica Sao Paulo, Brazil
   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
• Cova , J. and Goodchild , M. 2002 . Extending geographical representations to include fields of spatial objects . International Journal of Geographical Information Science , 16 : 509 – 532 .
   Web of Science ®Google Scholar
• Galton , A.P. 2003 . “ Desiderata for a spatio-temporal geo-ontology ” . In Spatial information theory: foundations of geographic information science , Edited by: Kuhn , W. , Worboys , M.F. and Timpf , S. Vol. 2825 , Berlin : Springer . Lecture Notes in Computer Science
   Google Scholar
• Goodchild , M.F. Towards an enumeration and classification of GIS functions . International geographic information systems (IGIS) symposium: the research agenda proceedings . November 15–18 1987 , Washington, DC. Arlington, VA : National Aeronautics and Space Administration .
   Google Scholar
• Goodchild , M.F. 1991 . Geographical data modeling . Computers and Geosciences , 18 : 401 – 408 .
   Web of Science ®Google Scholar
• Goodchild , M.F. 1999 . Introduction to the Varenius project . International Journal of Geographical Information Science , 13 : 731 – 745 .
   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 Geographical Information Science , 21 : 239 – 260 .
   Web of Science ®Google Scholar
• Gordon , B. and Berger , L. 2003 . Intelligent memory , New York : Viking .
   Google Scholar
• Jackendoff , R. 1983 . Semantics and cognition , Cambridge, MA : MIT Press .
   Google Scholar
• Johnston , R.J. , eds. 2000 . The dictionary of human geography , Oxford : Blackwell .
   Google Scholar
• Kemp , K.K. and Vckovski , A. Towards an ontology of fields . Proceedings of the third international conference on GeoComputation . September 17–19th 1998 , Bristol, UK.
   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
• Liu , Y. 2008 . Towards a general field model and its order in GIS . International Journal of Geographical Information Science , 22 ( 6 ) : 623 – 643 .
   Web of Science ®Google Scholar
• Longley , P.A. , Goodchild , M.F. , Maguire , D.J. and Rhind , D.W. 2005 . Geographical Information Systems and Science , 2nd , New York : John Wiley & Sons .
   Google Scholar
• Mandelbrot , B.B. 1997 . Fractals and scaling in finance: discontinuity, concentration, risk , New York : Springer .
   Google Scholar
• Mark , D.M. 1999 . “ Spatial representation: a cognitive view ” . In Geographical information systems. Volume 1: Principles and technical issues , Edited by: Longley , P.A. London : Wiley .
   Google Scholar
• Marr , D. 1982 . Vision , New York : W.H. Freeman .
   Google Scholar
• Martin , D.J. 1999 . “ Spatial representation: the social scientist's perspective ” . In Geographical information systems. Volume 1: Principles and technical issues, 1 , Edited by: Longley , P.A. London : Wiley .
   Google Scholar
• Molenaar , M. 1994 . “ A syntax for the representation of fuzzy spatial objects ” . In Advanced geographic data modelling , Edited by: Molenaar , M. and de Hoop , S. The Netherlands : Delft .
   Google Scholar
• Molenaar , M. 1996 . “ A syntactic approach for handling the semantics of fuzzy spatial objects ” . In Geographic objects with indeterminate boundaries , Edited by: Burrough , P.A. and Frank , A.U. 207 – 224 . London : Taylor and Francis .
   Google Scholar
• Molenaar , M. 1998 . An introduction to the theory of spatial object modelling for GIS , London : Taylor and Francis .
   Google Scholar
• Neisser , U. 1987 . “ Concepts and conceptual developments ” . In Ecological and intellectual factors in categorization , Edited by: Neisser , U. Cambridge, , UK : Cambridge University Press .
   Google Scholar
• ODPM . 2000 . Producing boundaries and statistics for town centres, Interim Report , Queen's Printer and Controller of Her Majesty's Stationery Office .
   Google Scholar
• ODPM . 2002 . Producing boundaries and statistics for town centres: London pilot study , London : TSO .
   Google Scholar
• Peuquet , D. 1984 . A conceptual framework and comparison of spatial data models . Cartographica , 21 : 66 – 113 .
   Google Scholar
• Peuquet , D. 1988 . Representations of geographic space: toward a conceptual synthesis . Annals of the Association of American Geographers , 78 : 375 – 394 .
   Web of Science ®Google Scholar
• Peuquet, D., Smith, B. and Brogaard, B., 1998. Ontology of Fields. Report of a Specialist Meeting held under the Auspices of the Varenius Project, Panel on Computational Implementations of Geographic Concepts, National Center for Geographic Information Analysis (NCGIA).
   Google Scholar
• Peuquet , D. 2002 . Representations of space and time , New York : Guilford .
   Google Scholar
• Raper , J.F. 1999 . “ Spatial representation: the scientist's perspective ” . In Geographical information systems. Volume 1: Principles and technical issues, 1 , Edited by: Longley , P.A. London : Wiley .
   Google Scholar
• Schaefer , F. 1953 . Exceptionalism in geography: a methodological examination . Annals of the Association of American Geographers , 43 : 226 – 245 .
   Web of Science ®Google Scholar
• Smith , B. Fiat objects . Parts and wholes: conceptual part-whole relations and formal mereology, 11th European conference on artificial intelligence . Amsterdam, The Netherlands, August 1994. Edited by: Guarino , N. , Vieu , L. and Pribbenow , S.
   Google Scholar
• Smith , B. 2001 . Fiat objects . Topoi , 20 : 131 – 148 .
   Google Scholar
• Smith , B. and Varzi , A. 2000 . Fiat and bona fide boundaries . Philosophy and Phenomenological Research , 60 : 401 – 420 .
   Web of Science ®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
• Thurstain-Goodwin , M. and Unwin , D. 2000 . Defining and delineating the central areas of towns for statistical monitoring using continuous surface representations . Transactions in GIS , 4 : 305 – 317 .
   Google Scholar
• Voudouris , V. , Fisher , P.F. and Wood , J. Capturing conceptualization uncertainty interactively using object-fields . 12th international symposium on geospatial data handling, Vienna, Austria . Berlin. Edited by: Kainz , W. , Reid , A. and Elmes , G. Springer .
   Google Scholar
• Voudouris , V. , Wood , J. and Fisher , P.F. 2005 . “ Collaborative geoVisualization: object-field representations with semantic and uncertainty information ” . In On the move to meaningful internet systems OTM 2005 , Edited by: Meersman , R. Vol. 3762 , Berlin : Springer . Lecture Notes in Computer Science
   Google Scholar
• Winter , S. Bridging vector and raster representations in GIS . 6th international symposium on advances in geographic information systems . November 6–7 1998 , Washington, DC. Edited by: Laurini , R. , Makki , K. and Pissinou , N. pp. 57 – 62 . ACM Press .
   Google Scholar
• Winter , S. and Frank , A.U. 2000 . Topology in raster and vector representation . GeoInformatica , 4 : 35 – 65 .
   Google Scholar
• Worboys , M.F. 1995 . Geographic information systems: a computing perspective , London : Taylor and Francis .
   Google Scholar
• Yuan , M. 1999 . Representing geographic information to enhance GIS support for complex spatiotemporal queries . Transactions in GIS , 3 : 137 – 160 .
   Google Scholar