Overlay of two simple polygons with indeterminate boundaries

Transactions in GIS

Volumn 7, Issue 1, 2003, Pages 67-81

  Zhan, F Benjamin ^a   Lin, Hui ^b  

^a TEXAS STATE UNIVERSITY   (United States)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY;

INDETERMINATE BOUNDARIES; OVERLAY OPERATIONS; SIMPLE POLYGON; TOPOLOGICAL CONFIGURATION;

TOPOLOGY;

BOUNDARY DELIMITATION; GIS; OVERLAY; POLYGON; TOPOLOGY; VECTOR;

EID: 0037284719     PISSN: 13611682     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9671.00130     Document Type: Article

References (25)

1. Burrough P A and Frank A U (eds) 1996 Geographic Objects with Indeterminate Boundaries London, Taylor and Francis
2. Chrisman N 2002 Exploring Geographic Information Systems (Second Edition). New York, John Wiley and Sons
3. Clementini E and Di Felice P 1996 An algebraic model for spatial objects with indeterminate boundaries. In Burrough P A and Frank A U (eds) Geographic Objects with Indeterminate Boundaries. London, Taylor and Francis: 155-69
4. Cohn A G and Gotts N M 1996 The Egg-Yolk representation of regions with indeterminate boundaries. In Burrough P A and Frank A U (eds) Geographic Objects with Indeterminate Boundaries. London, Taylor and Francis: 171-87
5. Egenhofer M J and Herring J R 1994 Categorizing topological spatial relations between point, line, and area objects. In Egenhofer M J, Mark D M, and Herring J R (eds) The 9-Intersection: Formalism and Its Use For Natural-Language Spatial Predicates, Santa Barbara, CA: University of California, National Center for Geographic Information and Analysis Report No 94-1
6. Erwig M and Schneider M 1997 Vague regions. In Scholl M and Voisard A (eds) Advances in Spatial Databases: Proceedings of the Fifth International Symposium on Advances in Spatial Databases (SSD '97). New York, Springer-Verlag Lecture Notes in Computer Science No 1262: 298-320
7. Freeman J 1975 The modeling of spatial relations. Computer Graphics and Image Processing 4: 156-71
8. Krishnapuram R, Keller J M, and Ma Y 1993 Quantitative analysis of properties and spatial relations of fuzzy image regions. IEEE Transactions on Fuzzy Systems 1: 222-33
9. Klir G J and Yuan B 1995 Fuzzy Sets and Fuzzy Logic: Theory and Applications. Upper Saddle River, NJ, Prentice Hall
10. Leung Y 1982 Approximate characterization of some fundamental concepts of spatial analysis. Geographical Analysis 14: 29-40
11. Leung Y 1987 On the imprecision of boundaries. Geographical Analysis 19: 125-51
12. Manning W 1913 The Billerica town plan. Landscape Architecture 3: 108-18
13. McGarg I L 1969 Design with Nature. Garden City, NY, Natural History Press
14. Petry F E 1996 Fuzzy Databases: Principles and Application. Boston, MA, Kluwer Academic Publishers
15. Robinson V B 1988 Implications of fuzzy set theory for geographic databases. Computers, Environment and Urban Systems 12: 89-98
16. Robinson V B 1990 Interactive machine acquisition of a fuzzy spatial relation. Computers and Geosciences 16: 857-72
17. Schneider M 1999 Uncertainty management for spatial data in databases: Fuzzy spatial data types. In Güting R H, Papadias D, and Lochovsky F (eds) Advances in Spatial Databases: Proceedings of the Sixth International Symposium on Advances in Spatial Databases (SSD '99). New York, Springer-Verlag Lecture Notes in Computer Science No 1651: 330-51
18. Schneider M 2000 Metric operations on fuzzy spatial objects in databases. In Li K-J, Makki K, Pissinou N, and Ravada S (eds) Proceedings of the Eighth ACM Symposium on Geographic Information Systems (ACM GIS): 21-6
19. Sherman J and Tobler W 1957 The multiple use concept in cartography. Professional Geographer 9: 5-7
20. Wang F 1993 A parallel intersection algorithm for vector polygon overlay. IEEE Computer Graphics and Applications 13: 74-81
21. Wang F and Hall G B 1996 Fuzzy representation of geographical boundaries in GIS. International Journal of Geographical Information Systems 10: 573-90
22. Zadeh L A 1965 Fuzzy sets. Information and Control 8: 338-53
23. Zhan F B 1997 Topological relations between fuzzy regions. In Bryant B, Carroll J, Oppenheim D, Hightower J and George K M (eds) Proceedings of the 1997 ACM Symposium on Applied Computing, San Jose, California: 192-6
24. Zhan F B 1998 Approximate analysis of topological relations between geographic regions with indeterminate boundaries. Soft Computing 2: 28-34
25. Zhan F B 2001 How much is region Q covering region R 'a little bit,' 'somewhat,' or 'nearly completely?' In Cristani M and Bennett B (eds) Proceedings of SVUG01: The Joint COSIT-FOIS Workshop on Spatial Vagueness, Uncertainty and Granularity, Ogunquit, Maine