Lacunarity for spatial heterogeneity measurement in GIS

Geographic Information Sciences

Volumn 6, Issue 1, 2000, Pages 20-26

  Dong, Pinliang ^a  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84887313893     PISSN: 10824006     EISSN: None     Source Type: Journal    
DOI: 10.1080/10824000009480530     Document Type: Article

References (43)

1. Molders, N. and Raabe, A., 1996, Numerical investigations on the influence of subgrid-scale surface heterogeneity on evapotranspiration and cloud processes, Journal of Applied Meteorology, 35: 782
2. Chen, J.M., 1999, Spatial Scaling of a Remotely Sensed Surface Parameter by Contexture, Remote Sensing of Environment, 69:30-42.
3. Turner, M.G. and Gardner, R.H., 1991, Quantitative methods in landscape ecology: An introduction. Turner, M.G. and Gardner, R.H. eds. EcologicalStudies Series, Springer-Verlag, New York. The Analysis and Interpretation cf Landscape Heterogeneity, 3-14.
4. Kareiva, P., 1986, Patchness, dispersal, and species interactions: consequences for communities of herbivorous insects. Diamond, J. and Case, T.J. eds. Harper and Row, New York, Community Ecology, 192-206.
5. Pacala, S.W., 1987, Neighborhood models of plant population dynamics. Ill Models with spatial heterogeneity inthe physical environment, Theoretical Population Biology, 31:359-392.
6. Levin, S A., 1992, The problem of pattern and scale in ecology, Ecology, 73: 1943-1967.
7. Qi, Y. and Wu, J,, 1996, Effects of changing spatial scales on analysis of landscape patterns using spatial autocorrelation indices, Landscape Ecology, 11(1):39-49.
8. Van Gardingen, P.R, Foody, GM and Curran, P. J., 1997, Scaling- Up: From Cell to Landscape, Cambridge University Press, Cambridge.
9. Peterson, D. L. and Parker, V. T., 1998, Ecological Scale: Theory and Applications. Columbia University Press, New York.
10. Wu, J., 1999, Hierarchy and scaling: Extrapolating information along a scaling ladder, Canadian Journal of Remote Sensing, 25(4): 367-380.
11. Mandelbrot, B.B., 1983, The Fractal Geometry cf Nature, San Francisco, CA Freeman.
12. Allain, C. and Cloitre, M., 1991, Characterizing the lacunarity of random and deterministic fractal sets, Physics Review, A 44: 3552-3558.
13. Pentland, A,. 1984, Fractal-based description of natural scenes, IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-6 (6):661-674.
14. Peleg, S., Noar, J., Hartley, R., and Avnir, D., 1984, Multiple resolution texture analysis and classification, IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI- 6(4): 518-523.
15. Dong, P.L. Test of a new lacunarity estimation method for image texture analysis, International Journal of Remote Sensing (in press).
16. Orford, J.D. and Whalley, W.B., 1983, The use of fractal dimension to characterize irregular-shaped particle, Sedimentology, 30:655-668.
17. Kaye, B.H., 1986, Fractal dimension and signature wave form characterization of fine particle shape, American Laboratory, 55-63.
18. Kaandorp, J.A, 1987, Interactive generation of fractal objects, Eurographics ‘87, Elsevier Science Publishers B. V. North-Holland, 181-197.
19. Turcotte, D.L, 1989, Fractals in geology and geophysics, Scholz and Mandelbrot eds., Fractals in Geophysics, Birkhauser VerlagBasel, 171-196.
20. Hirata, T., 1989, Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales, in: Scholz and Mandelbrot eds., Fractals in Geophysics, Birkhauser Verlag Basel, 157-170.
21. Snow, R.S. and Mayer, L., 1992, Fractals in Geomorphology, Geomorphology, 5(1/2): 194.
22. Cheng, Q. 1999, Multifractality and spatial statistics, Computers & Geosciences, 25:949-961.
23. Stauffer, D. and Stanley, H.E., 1989, From Newton to Mandelbrot: a primer in theoretical physics: Springer Verlag, Berlin.
24. Harrison, A., 1995, Fractals in chemistry, New York: Oxford University Press, 90p.
25. Keller, J.M., Chen, S., and Crownover, R.M., 1989, Texture description and segmentation through fractal geometry, Computer Vision, Graphics, and Image Processing, 45:150-166.
26. Sarkar, N. and Chaudhuri, B.B., 1992, An efficient approach to estimate fractal dimension of textural images, Pattern Recognition, 25:1035-1041.
27. Huang, O., Lorch, J.R., Dubes, R.C., 1994, Canthefractal Dimension of images be measured? Pattern Recognition, 27(3):339-349.
28. De Cola, L., 1989, Fractal analysis of a classified Landsat scene, Photogrammetric Engineering and Remote Sensing, 55(5):601-610.
29. Lam, N. S., 1990, Description and measurement of Landsat TM images using fractals, Photogrammetric Engineering and Remote Sensing, 56(2):187-195.
30. Jones, J.G., Thomas, R.W., and Earwicker, P.G., 1991, Multiresolution analysis of remotely sensed imagery, International Journal cf Remote Sensing, 12(1):107-124.
31. Dellepiane, S., Giusto, D.D., Serpico, S.B., and Vernazza, G., 1991, SAR image recognition by integration of intensity and textural information, International Journal of Remote Sensing, 12(9): 1915-1932.
32. Klinkenberg, B., 1994, A fractal analysis of shadowed and sunlit areas, International Journal of Remote Sensing, 15(5):967-977.
33. Roach, D. and Fung, K.B., 1994, Fractal-basedtextural descriptors for remotely sensed forestry data, Canadian Journal of Remote Sensing, 20(1):59-70.
34. Chen, K.S., Yen, S.K., and Tsay, D.W., 1997, Neural classification of SPOT imagery through integration of intensity and fractal information, International Journal of Remote Sensing, 18(4): 763-783.
35. Voss, R., 1986, Random fractals: characterization and measurement, Scaling Phenomena in Disordered Systems, Pynn, R. and Skjeltorp, A. eds., Plenum, New York.
36. Gefen, Y., Meir, Y., and Aharony, A., 1983, Geometric implementation of hypercubic lattices with noninteger dimensionality by use of low lacunarity fractal lattices, Physical Review Letters, 50: 145-148.
37. Gefen, Y., Aharony, A, and Mandelbrot, B.B., 1984, Phase transitions on fractals: lll.Infinitely ramified lattices, Journal Physics A: Mathematical and General, 17:1277-1289.
38. Lin, B., and Yang, Z.R, 1986, A suggested lacunarity expression for Sierpinski carpets, Journal Physics A: Mathematical and General 19: L49-L52.
39. Plotnick, R.E., Gardner, R.H., and O’Neill, R.V., 1993, Lacunarity indices as measures of landscape texture, Landscape Ecology 8(3):201-211.
40. Plotnick, R.E., Gardner, R.H., Hargrove, W.W., Prestegaard, K., and Perlmutter, M., 1996, Lacunarity analysis: A general technique for the analysis of spatial patterns, Physical Review E 53(5): 5461-5468.
41. Henebry, G.M., and Kux, H.J.H., 1995, Lacunarity as a texture measure for SARimagery, International Journal cf Remote Sensing 16(3):565-571.
42. Ranson, K.J., and Sun, G., 1997, An evaluation of AIRSAR and SIR-C/X-SAR images for mapping northern forest attributes in Maine, USA. Remote Sensing of Environment, 59:203-222.
43. Brodatz, 1966, Texture: Aphotographic album for artists and designers. Dover, New York.