Extending geographical representation to include fields of spatial objects

References

• ANGEL , S. and HYMAN , G. M. 1976 . Urban fields: a geometry of movement for regional science , London : Pion Limited .
   Google Scholar
• ANSELIN , L. 1994 . “ Exploratory spatial data analysis and geographic information systems ” . In New Tools for Spatial Analysis , Edited by: Painho , M. 45 – 54 . Luxembourg Eurostat .
   Google Scholar
• ANSELIN , L. 1995 . Local indicators of spatial association (LISA) . Geographical Analysis , 27 : 93 – 115 .
   Web of Science ®Google Scholar
• ARMSTRONG , M. P. 1993 . Perspectives on the development of group decision support systems for locational problem-solving . Geographical Systems , 1 : 69 – 81 .
   Google Scholar
• ARMSTRONG , M. P. , DENSHAM , P. J. , LOLONIS , P. and RUSHTON , G. 1992 . Cartographic displays to support locational decision making . Cartography and Geographic Information Systems , 19 : 154 – 164 .
   Web of Science ®Google Scholar
• AUSTIN , R. F. 1984 . “ Measuring and comparing two-dimensional shapes ” . In Spatial Statistics and Models , Edited by: Gaile , G. L. and Willmott , C. J. 293 – 312 . Boston : D. Reidel Publishing Company .
   Google Scholar
• BAILEY , T. C. and GATRELL , T. 1995 . Interactive spatial data analysis , Harlow Essex : Longman Scientific & Technical .
   Google Scholar
• BATTY , M. and XIE , Y. 1994 . Modelling inside GIS part 1. Model structures, exploratory spatial data analysis and aggregation . International Journal of Geographical Information Systems , 8 : 291 – 307 .
   Web of Science ®Google Scholar
• BURROUGH , P. A. 1992 . Are GIS data structures too simple minded? . Computers & Geosciences , 18 : 395 – 400 .
   Web of Science ®Google Scholar
• BURROUGH , P. A. and FRANK , A . 1996 . Geographic objects with indeterminate boundaries , London : Taylor & Francis .
   Google Scholar
• BURROUGH , P. A. and McDONNELL , R. A. 1998 . Principles of Geographical Information Systems , Oxford : Oxford University Press .
   Google Scholar
• CHAKRABORTY , J. and ARMSTRONG , M. P. 1996 . Using geographic plume analysis to assess community vulnerability to hazardous accidents . Computers, Environment, and Urban Systems , 19 : 341 – 356 .
   Web of Science ®Google Scholar
• CHRISMAN , N. Concepts of space as a guide to cartographic data structures . Proceedings of the First International Advanced Study Symposium on Topological Data Structures for Geographic Information Systems . Edited by: Dutton , G. pp. 1 – 19 . Cambridge : Harvard Laboratory for Computer Graphics and Spatial Analysis .
   Google Scholar
• CHURCH , R. L. 1999 . “ Location modelling and GIS ” . In Geographical information systems: principles, techniques, applications, and management , Edited by: Longley , P. A. , Goodchild , M. F. , Maguire , D. J. and Rhind , D. W. Volume 1 , 293 – 303 . New York : John Wiley & Sons .
   Google Scholar
• CHURCH , R. L. , LOBAN , S. R and LOMBARD , K. 1992 . An interface for exploring spatial alternatives for a corridor location problem . Computers & Geosciences , 18 : 1095 – 1105 .
   Google Scholar
• COHON , J. C. 1978 . Multiobjective programming and planning , New York : Academic Press .
   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 639 Edited by: Frank , A. U. and Campari , I. 65 – 77 . Berlin : Springer-Verlag .
   Google Scholar
• COUCLELIS , H. 1997 . From cellular automata to urban models: new principles for model development and implementation . Environment and Planning B: Planning and Design , 24 : 165 – 174 .
   Web of Science ®Google Scholar
• COVA , T. J. and CHURCH , R. L. 2000a . Exploratory spatial optimization and site search: a neighborhood operator approach . Computers, Environment, & Urban Systems , 21 : 401 – 419 .
   Google Scholar
• COVA , T. J. and CHURCH , R. L. 2000b . Contiguity constraints for single-region site search problems . Geographical Analysis , 32 : 306 – 329 .
   Web of Science ®Google Scholar
• DENSHAM , P. J. 1991 . “ Spatial decision support systems ” . In Geographical Information Systems: Principles and Applications , Edited by: Maguire , D. J. , Goodchild , M. F. and Rhind , D. Volume 1 , New York : John Wiley & Sons .
   Google Scholar
• DENSHAM , P. J. 1994 . Integrating GIS and spatial modelling visual interactive location selection . Geographical Systems , 1 : 203 – 219 .
   Google Scholar
• DENSHAM , P. J. 1996 . “ Visual interactive locational analysis ” . In Spatial Analysis: Modelling in a GIS Environment , Edited by: Longley , P. and Batty , M. 185 – 205 . Cambridge : Geolnformation International .
   Google Scholar
• DIJKSTRA , E. W. 1959 . A note on two problems in connexion with graphs . Numerische Mathmatik , 1 : 269 – 271 .
   Web of Science ®Google Scholar
• DOBSON , J. E. 1979 . The regional screening procedure for land use suitability analysis . The Geographical Review , 62 : 224 – 234 .
   Google Scholar
• EGENHOFER , M. J. and FRANZOSA , R. D. 1991 . Point-set topological spatial relations . International Journal of Geographical Information Systems , 5 : 161 – 174 .
   Web of Science ®Google Scholar
• EGENHOFER , M. J. and FRANK , A. U. Object-oriented databases: database requirements for GIS . Proceedings of the International GIS Symposium: The Research Agenda . pp. Volume 1 189 – 211 . Washington, DC : US Government Printing Office .
   Google Scholar
• FRANK , A. U. 1992 . Spatial concepts, geometric data models, and geometric data structures . Computer & Geosciences , 18 : 409 – 417 .
   Web of Science ®Google Scholar
• FRANK , A. U. and EGENHOFER , M. 1992 . Computer cartography for GIS: an object-oriented view on the display transformation . Computers & Geosciences , 18 : 975 – 987 .
   Google Scholar
• GAHEGAN , M. 1996 . Specifying the transformations within and between geographic data models . Transactions in GIS , 1 : 137 – 152 .
   Google Scholar
• GAHEGAN , M. and ROBERTS , S. A. 1988 . An intelligent object-oriented geographical information system . International Journal of Geographical Information Systems , 2 : 101 – 110 .
   Google Scholar
• GATRELL , A. C. 1983 . Distance and space: a geographical perspective , Oxford : Clarendon Press .
   Google Scholar
• GATRELL , A. C. 1991 . “ Concepts of space and geographic data ” . In Geographical Information Systems , Edited by: Maguire , D. J. , Goodchild , M. F. and Rhind , D. W. 119 – 134 . Harlow : Longmans .
   Google Scholar
• GETIS , A. and ORD , J. K. 1992 . The analysis of spatial association by the use of distance statistics . Geographical Analysis , 24 : 189 – 206 .
   Web of Science ®Google Scholar
• GHOSH , A. and RUSHTON , G. 1987 . Spatial analysis and location-allocation models , New York : Van Norstrand Reinhold .
   Google Scholar
• GOODCHILD , M. F. 1989 . “ Modelling error in objects and fields ” . In Accuracy of spatial databases , Edited by: Goodchild , M. F. and Gopal , S. London : Taylor & Francis .
   Google Scholar
• GOODCHILD , M. F. 1992 . Geographical data modelling . Computers & Geosciences , 18 : 401 – 408 .
   Web of Science ®Google Scholar
• GOODCHILD , M. F. 1997 . Representing fields, Core Curriculum in GIScience , Santa Barbara : National Center for Geographic Information and Analysis, (NCGIA) .
   Google Scholar
• HEPNER , G. and FINCO , M. 1995 . Modelling dense gas contaminant pathways over complex terrain using a geographic information system . Journal of Hazardous Materials , 42 : 187 – 199 .
   Google Scholar
• HEUVELINK , G. B. M. 1996 . Identification of field attribute error under different models of spatial variation . International Journal of Geographical Information Systems , 10 : 921 – 935 .
   Web of Science ®Google Scholar
• HUNTER , G. J. and GOODCHILD , M. F. 1995 . A new model for handling vector data uncertainty in geographic information systems . Journal of the Urban and Regional Information Systems Association , 8 : 51 – 57 .
   Google Scholar
• KEMP , K. K. 1997a . Fields as a framework for integrating GIS and environmental process models. Part I: representing spatial continuity . Transactions in GIS , 1 : 219 – 234 .
   Google Scholar
• KEMP , K. K. 1997b . Fields as a framework for integrating GIS and environmental process models. Part 2: specifying field variables . Transactions in GIS , 1 : 235 – 246 .
   Google Scholar
• LOMBARD , K. and CHURCH , R. L. 1993 . The gateway shortest path problem generating alternative routes for a corridor location problem . Geographical Systems , 1 : 25 – 45 .
   Google Scholar
• LONGLEY , P. , GOODCHILD , M. F. , MAGUIRE , D. J. and RHIND , D. W. 1999 . Geographical information systems: principles, techniques, applications, and management , New York : John Wiley & Sons .
   Google Scholar
• MAcEACHREN , A. M. 1985 . Compactness of geographic shape: comparison and evaluation of measures . Geografiska Annaler , 67B : 53 – 67 .
   Google Scholar
• NYERGES , T. L. 1990 . Locational referencing and highway segmentation in a geographic information systems . ITE Journal , 60 : 27 – 31 .
   Web of Science ®Google Scholar
• OOSTEROM , P. v. 1994 . Reactive data structures for geographic information systems , Oxford : Oxford University Press .
   Google Scholar
• OOSTEROM , P. v. and VANDEBOS , J. 1989 . An object-oriented approach to the design of geographic information systems . Computers & Graphics , 13 : 409 – 418 .
   Web of Science ®Google Scholar
• O'SULLIVAN , D. and TURNER , A. 2001 . Visibility graphs and landscape visibility analysis . International Journal of Geographical Information Science , 15 : 221 – 237 .
   Web of Science ®Google Scholar
• PEUCKER , T. K. and CHRISMAN , N. 1975 . Cartographic data structures . American Cartographer , 2 : 55 – 69 .
   Google Scholar
• PEUQUET , D. 1984 . A conceptual framework and comparison of spatial data models . Cartographica , 21 : 66 – 113 .
   Google Scholar
• PEUQUET , D. 1988 . Representation 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. 1999 . The ontology of fields: report of a specialist meeting held under the auspices of the Varenius Project , Santa Barbara : National Center for Geographic Information and Analysis .
   Google Scholar
• SACHS , M. 1973 . The field concept in contemporary science , Springfield : Charles C Thomas .
   Google Scholar
• SAMET , H. 1990 . The design and analysis of spatial data structures , Reading : Addison-Wesley .
   Google Scholar
• SMITH , B. and MARK , D. Ontology and geographic kinds . Proceedings of International Symposium on Spatial Data Handling, (SDH '98): . Vancouver, B.C.. pp. 308 – 318 .
   Google Scholar
• TAKEYAMA , M. 1996 . Geo-algebra: a mathematical approach to integrating spatial modelling and GIS , Santa Barbara : University of California . Unpublished doctoral dissertation thesis
   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
• TOBLER , W. R. 1978 . “ Migration fields ” . In Population Mobility and Residential Change , Studies in Geography No. 25 Edited by: Clark , W. and Moore , E. 215 – 232 . Evanston : Department of Geography .
   Google Scholar
• TOBLER , W. R. 1991 . Visual evidence for urban potential fields . Mappe Monde , 4 : 46 – 47 .
   Google Scholar
• TOMLIN , C. D. 1990 . Geographic information systems and cartographic modelling , Englewood Cliffs : Prentice Hall .
   Google Scholar
• UCGIS . 1998 . Extension to geographic representation , GIScience Research Agenda .
   Google Scholar
• WORBOYS , M. F. 1994 . Object-oriented approaches to georeferenced information . International Journal of Geographical Information Systems , 3 : 385 – 399 .
   Google Scholar
• WORBOYS , M. F. 1995 . GIS: a computing perspective , London : Taylor & Francis .
   Google Scholar
• WORBOYS , M. F. 1999 . “ Relational databases and beyond ” . In Geographic Information Systems: Principles, Applications, and Management , Edited by: Longley , P. , Goodchild , M. F. , Maguire , D. and Rhind , D. 373 – 384 . New York : John Wiley & Sons .
   Google Scholar