Building spatial models within GIS through Geo-Algebra

Transactions in GIS

Volumn 2, Issue 3, 1997, Pages 245-256

  Takeyama, Masanao ^a  

^a TOKYO CITY UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GEOGRAPHIC INFORMATION SYSTEMS; HIGH LEVEL LANGUAGES;

COMPUTATIONAL MODELLING; DATA MANIPULATIONS; DYNAMIC SPATIAL; GEOGRAPHIC MODEL; MATHEMATICAL FRAMEWORKS; NOVEL CONCEPT; SPATIAL DATA; SPATIAL MODELLING; SPATIAL RELATIONSHIPS; SPATIAL STRUCTURE;

ALGEBRA;

GEO-ALGEBRA; GIS; MAP LAYER; SPATIAL DATA;

EID: 0031411033     PISSN: 13611682     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9671.1997.tb00014.x     Document Type: Article

References (20)

1. Berry J K 1987 A mathematical structure for analysing maps. Journal of Environmental Management, 11: 317-25
2. Berry J K 1993 Cartographic modelling: The analytical capabilities of GIS. In Goodchild M F, Parks B O, and Steyaert L T (eds) Environmental Modelling with GIS. New York, Oxford University Press: 58-74
3. Couclelis H 1992 People manipulate objects but cultivate fields: Beyond the raster-vector debate in GIS. In Frank A, Campari I, and Formentini U (eds) Theories and Methods of Spatio-Temporal Reasoning in Geographic Space. Berlin, Springer-Verlag: 65-77
4. Couclelis H 1997 From cellular automata to urban models: New principles for model development and implementation. Environment and Planning B, 24: 165-74
5. Fedra K 1993 GIS and environmental modelling. In Goodchild M F, Parks B O, and Steyaert L T (eds) Environmental Modelling with GIS. New York, Oxford University Press: 35-50
6. Forrester J W 1968 Principles of Systems. Cambridge, Wright-Allen Press, Inc.
7. Gartell A 1983 Distance and Space: A Geographical Perspective. Oxford, Clarendon Press
8. Goodchild M F 1992 Geographical data modelling. Computers and Geosciences, 18: 401-8
9. Harvey D 1969 Explanation in Geography. London, Edward Arnold
10. Kemp K K 1993 Environmental modelling with GIS: A strategy for dealing with spatial continuity. Proceedings GIS/LIS 92, San Jose, 10-12 November 1992. Bethesda, American Congress on Surveying and Mapping: 413-22
11. Kemp K K 1997a Fields as a framework for integrating GIS and environmental process models. Part 1: Representing spatial continuity. Transactions in GIS, 1: 219-34
12. Kemp K K 1997b Fields as a framework for integrating GIS and environmental process models. Part 2: Specifying field variables. Transactions in GIS, 1: 235-46
13. Nyerges T 1993 Understanding the scope of GIS: Its relationship to environmental modelling. In Goodchild M F, Parks B O, and Steyaert LT (eds) Environmental Modelling with GIS. New York, Oxford University Press: 75-93
14. Ritter G, Wilson J, and Davidson J 1990 Image algebra: An overview. Computer Vision, Graphics, and Image Processing, 49: 297-31
15. Takeyama M 1996 Geo-Algebra: A Mathematical Approach to Integrating Spatial Modelling and GIS. Unpublished doctoral dissertation, Department of Geography, University of California at Santa Barbara, Santa Barbara
16. 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
17. Tomlin C D 1983 A map algebra. In Proceedings 1983 Harvard Computer Graphics Conference, volume 2. Cambridge, Harvard Laboratory for Graphics and Spatial Analysis: 127-50
18. Tomlin C D 1990 Geographic Information Systems and Cartographic Modelling. Englewood Cliffs, Prentice Hall
19. van Deursen W P A 1995 Geographical information systems and dynamic models: Development and application of a prototype spatial modelling language. Unpublished PhD dissertation, Department of Spatial Analysis, University of Utrecht, Utrecht
20. von Thünen J 1966 Isolated State: An English Edition of 'Der isolierte Staat', 1st edition. New York, Pergamon Press