Sampling and mapping of heterogeneous surfaces: Multi-resolution tiling adjusted to spatial variability

International Journal of Geographical Information Systems

Volumn 10, Issue 7, 1996, Pages 851-875

  Csillag, Ferenc ^a   Kertész, Miklós ^b   Kummert, Ágnes ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

GIS; RESOLUTION; SPATIAL VARIATION; SURFACE HETEROGENEITY;

EID: 0030448311     PISSN: 02693798     EISSN: None     Source Type: Journal    
DOI: 10.1080/02693799608902113     Document Type: Article

References (56)

1. ARONOFF, S., 1990, Geographic information systems: A management perspective (Ottawa: WDL Publications).
2. BURGESS, T. M., WEBSTER, R., and MCBRATNEY, A. B., 1981, Optimal interpolation and isarithmic mapping of soil properties IV: Sampling strategy. Journal of Soil Science. 32, 643-659.
3. BURROUGH, P. A., 1986, Principles of Geographical Information Systems (Oxford: Clarendon Press).
4. CHRISMAN, N., and LESTER, M., 1991. A diagnostic test for error in categorical maps. (Bethesda: American Society of Photogrammetry and Remote Sensing/American Congress on Surveying and Mapping), pp. 330-348.
5. COCHRAN, W. G., 1977, Sampling techniques (New York: J. Wiley & Sons).
6. CRESSIE, N., 1992, Statistics for spatial data (New York: J. Wiley & Sons).
7. CSILLAG, F., 1991, Resolution revisited. Proceedings of AutoCarto-10 (Bethesda: American Society of Photogrammetry and Remote Sensing/American Congress on Surveying and Mapping), pp. 15-29.
8. CSILLAG, F., 1995, On uncertainty in geographic databases driving regional biogeochemical models. Proceedings of AutoCarto-12 (Bethesda: American Society of Photogrammetry and Remote Sensing/American Congress on Surveying and Mapping), pp. 264-270.
9. CSILLAG, F., and KERTÉSZ, M., 1989, Spatial variability: Error in natural resource maps? Agrokémia & Talajtan, 37, 715-726.
10. CSILLAG, F., KERTÉSZ, M., and KUMMERT, Á., 1992, Resolution, accuracy and attributes: Approaches for environmental geographical information systems. Computers, Environment and Urban Systems, 16, 289-297.
11. CSILLAG, F., KABOS, S., 1996, Hierarchical decomposition of variance with applications in chrinomental mapping. Mathematical Geology, 28, 385-405.
12. CSISZÁR, I., 1975, I-divergence geometry of probability distributions. Annals of Probability, 3, 146-158.
13. DUTTON, G., 1984, Geodesic modeling of planetary relief. Cartographica, 21, 188-207.
14. DUTTON. G., 1989, Modeling locational uncertainty via hierarchical tesselation. In Accuracy of spatial databases, edited by M. F. Goodchild, and S. Gopal (London: Taylor & Francis), pp. 125-140.
15. FISHER, P. F., 1991, Modeling soil map-unit inclusions by Monte Carlo simulation. International Journal of Geographical Information Systems, 5, 193-208.
16. FITZPATRICK-LINS, K., 1978, Accuracy and consistency comparisons of land use and land cover maps made from high-altitude photographs and Landsat imagery. Journal of Research (US Geological Survey), 6, 23-40.
17. GETIS, A., and BOOTS, B., 1978, Models of spatial processes: An approach to the study of point, line and area patterns (Cambridge: Cambridge University Press).
18. GOODCHILD, M. F., 1980, Fractals and the accuracy of geographical measures. Mathematical Geology, 12, 85-98.
19. GOODCHILD, M. F., 1992, Geographical information science. International Journal of Geographical Information Systems, 6, 31-46.
20. GOODCHILD, M. F., and GOPAL, S., 1989, Accuracy of spatial databases (London: Taylor & Francis).
21. GOODCHILD, M. F., GUOOING, S., and SHIREN, Y., 1992, Development and test of an error model for categorical data. International Journal of Geographical Information Systems, 6, 87-104.
22. GRIFFITH, D. A., and CSILLAG, F., 1993. Exploring relationships between semi-variogram and spatial autoregressive models. Journal and Regional Science. 72, 283-295.
23. GRUIJTER, J. J., and BRAAK, C. J. F., 1990, Model-free estimation from spatial samples: a reappraisal of classical sampling theory. Mathematical Geology, 22, 407-415.
24. HAINTNG, R., 1990, Spatial data analysis in the social and environmental sciences (Cambridge: Cambridge University Press).
25. HEUVELINK, G., 1992, An iterative method for multi-dimensional simulation with nearest neighbour models. In 2nd CODATA Conference on Geomathematics and Geostatistics, edited by P. A. Dowd and J. J. Royer, 31 (Nancy: Science de la Terre), pp. 51-57.
26. HOLE, F. D., and CAMPBELL, J. B., 1985, Soil landscape analysis (London: Routledge and Kegan Paul).
27. JEON, B., and LANDGREBE, D. A., 1992, Classification with spatio-temporal interpixel class dependency contexts. I.E.E.E. Transactions on Geoscience and Remote Sensing, 30, 663-672.
28. KABOS, S., 1991, Spatial statistics (Budapest: Social Science Information Center) in Hungarian.
29. KASHYAP, R. L., and CHELLAPA, R., 1983, Estimation of choice of neighbors in spatial-interaction models of images. I.E.E.E. Transactions on Information Theory, IT-29, 60-72.
30. KERTÉSZ, M., CSILLAG, F., AND KUMMERT, Á., 1995, Mapping heterogeneous images by optimal tiling. International Journal of Remote Sensing, 16, 1397-1415.
31. KULLBACK, S., 1959, Information theory and statistics (New York: J. Wiley & Sons).
32. KUMMERT, Á., KERTÉSZ, M., CSILLAG, F., and KABOS, S., 1992, Dirty quadtrees: pruning and related regular decompositions for maps with predefined accuracy. Technical Report (Budapest: Research Institute for Soil Science).
33. MCBRATNEY, A. B., WEBSTER, R., and BURGESS, T. M., 1981, The design of optimal sampling schemes for location estimation and mapping of regionalized variables. I: Theory and method. Computers and Geosciences, 7, 331-334.
34. MARCHAND, B., 1972, Information theory and geography. Geographical Analysis, 4, 234-257.
35. MARK, D. M., 1986, The use of quadtrees in geographic information systems and spatial data handling. Proceedings AutoCarto London (London: Royal Institute of Chartered Surveyors), pp. 517-526.
36. MARK, D. M., and CSILLAG, F., 1989, The nature of boundaries on 'area-class' maps. Cartographica, 26, 65-79.
37. MOELLERING, H., and TOBLER, W., 1972, Geographical variances. Geographical Analysis, 4, 34-50.
38. NORCLIFFE, G. B., 1977, Inferential statistics for geographers: An introduction (London: Hutchinson).
39. OLIVER, M., and WEBSTER, R., 1986, Combining nested and linear sampling for determining the scale and form of spatial variation of regionalized variables. Geographical Analysis, 18, 225-242.
40. PAVLIDIS, T., 1982, Algorithms for graphics and image processing (Berlin: Springer-Verlag).
41. RIPLEY, B. D., 1981, Spatial statistics (New York: J. Wiley & Sons).
42. ROSENFIELD, G. H., 1986, Analysis of thematic map classification error matrices. Photogrammetric Engineering and Remote Sensing, 52, 681-686.
43. SAMET, H., 1990, Applications of spatial data structures (Reading: Addison-Wesley).
44. SINTON, D., 1978, The inherent structure of information as a constraint in analysis: Mapped thematic data as a case study. In Harvard Papers on Geographic Information Systems, Vol. 7, edited by G. Dotton (Reading: Addison-Wesley).
45. TOBLER, W. R., 1969, Geographical filters and their inverses. Geographical Analysis, 1, 234-253.
46. TOBLER, W. R., 1979, Lattice tuning. Geographical Analysis, 11, 36-44.
47. TOBLER, W. R., 1988, Resolution, accuracy and all that. In Building databases for global science, edited by H. Mounsey and R. F. Tomlinson (London: Taylor & Francis), pp. 129-137.
48. TÓTH, T., CSILLAG, F., BIEHL, L. L., and MICHÉLI, E., 1991, Charactrization of semivegetated salt-affected soils by means of field remote sensing. Remote Sensing of Environment, 37, 167-180.
49. UNWIN, D., 1981, Introductory spatial analysis (London: Methuen).
50. UPTON, G. J. G., and FINGLETON, B., 1985, Spatial data analysis by example (New York: J. Wiley & Sons).
51. VER HOEF, J. M., and CRESSIE, N., 1993, Multivariable spatial prediction. Mathematical Geology, 25, 219-240.
52. WARE, J. M., and JONES, C. B., 1992, A multiresolution topographic surface database. International Journal of Geographical Information Systems, 6, 479-496.
53. WATSON, D. F., 1992, Contouring: A guide to the analysis and display of spatial data (New York: Pergamon Press).
54. WEBSTER, R., and OLIVER, M., 1990, Statistical methods in soil and land resource survey (Oxford: Oxford University Press).
55. YATES, F., 1981, Sampling methods for censuses and surveys (London: Griffin).
56. YFANTIS, E. A., FLATMAN, G. T., and BEHAR, J. V., 1987, Efficiency of kriging estimation for square, triangular and hexagonal grids. Mathematical Geology, 19, 183-205.