Lacunarity for Spatial Heterogeneity Measurement in GIS

REFERENCES

• Mölders , 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
   Google Scholar
• Chen , J. M. 1999 . Spatial Scaling of a Remotely Sensed Surface Parameter by Contexture . Remote Sensing of Environment , 69 : 30 – 42 .
   Web of Science ®Google Scholar
• Turner , M. G. and Gardner , R. H. 1991 . “ Quantitative methods in landscape ecology: An introduction. ” . In The Analysis and Interpretation of Landscape Heterogeneity , Edited by: Turner , M. G. and Gardner , R. H. 3 – 14 . New York : Ecological Studies Series, Springer-Verlag .
   Google Scholar
• Kareiva , P. 1986 . “ Patchness, dispersal, and species interactions: consequences for communities of herbivorous insects. ” . In Community Ecology , Edited by: Diamond , J. and Case , T. J. 192 – 206 . New York : Harper and Row .
   Google Scholar
• Pacala , S. W. 1987 . Neighborhood models of plant population dynamics. III Models with spatial heterogeneity in the physical environment . Theoretical Population Biology , 31 : 359 – 392 .
   Web of Science ®Google Scholar
• Levin , S. A. 1992 . The problem of pattern and scale in ecology . Ecology , 73 : 1943 – 1967 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Van Gardingen , P. R. , Foody , G. M. and Curran , P. J. 1997 . Scaling-Up: From Cell to Landscape , Cambridge : Cambridge University Press .
   Google Scholar
• Peterson , D. L. and Parker , V. T. 1998 . Ecological Scale: Theory and Applications , New York : Columbia University Press .
   Google Scholar
• Wu , J. 1999 . Hierarchy and scaling: Extrapolating information along a scaling ladder . Canadian Journal of Remote Sensing , 25 ( 4 ) : 367 – 380 .
   Google Scholar
• Mandelbrot , B. B. 1983 . The Fractal Geometry of Nature , San Francisco , CA : Freeman .
   Google Scholar
• Allain , C. and Cloitre , M. 1991 . Characterizing the lacunarity of random and deterministic fractal sets . Physics Review, A , 44 : 3552 – 3558 .
   PubMed Web of Science ®Google Scholar
• Pentland , A. 1984 . Fractal-based description of natural scenes . IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI , 6 ( 6 ) : 661 – 674 .
   PubMed Web of Science ®Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• Dong, P.L. Test of a new lacunarity estimation method for image texture analysis, International Journal of Remote Sensing (in press).
   Google Scholar
• Orford , J. D. and Whalley , W. B. 1983 . The use of fractal dimension to characterize irregular-shaped particle . Sedimentology , 30 : 655 – 668 .
   Web of Science ®Google Scholar
• Kaye , B. H. 1986 . Fractal dimension and signature wave form characterization of fine particle shape . American Laboratory , : 55 – 63 .
   Web of Science ®Google Scholar
• Kaandorp, J.A, 1987, Interactive generation of fractal objects, Eurographics'87, Elsevier Science Publishers B.V. North-Holland, 181–197.
   Google Scholar
• Turcotte, D.L, 1989, Fractals in geology and geophysics, Scholz and Mandelbrot eds., Fractals in Geophysics, Birkhäuser Verlag Basel, 171–196.
   Google Scholar
• Hirata , T. 1989 . “ Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales ” . In Fractals in Geophysics, Birkhäuser Verlag Basel Edited by: Scholz and Mandelbrot . 157 – 170 .
   Google Scholar
• Snow , R. S. and Mayer , L. 1992 . Fractals in Geomorphology . Geomorphology , 5 ( 1/2 ) : 194
   Web of Science ®Google Scholar
• Cheng , Q. 1999 . Multifractality and spatial statistics . Computers & Geosciences , 25 : 949 – 961 .
   Web of Science ®Google Scholar
• Stauffer , D. and Stanley , H. E. 1989 . From Newton to Mandelbrot: a primer in theoretical physics , Berlin : Springer Verlag .
   Google Scholar
• Harrison , A. 1995 . Fractals in chemistry , 90p New York : Oxford University Press .
   Google Scholar
• 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 .
   Google Scholar
• Sarkar , N. and Chaudhuri , B. B. 1992 . An efficient approach to estimate fractal dimension of textural images . Pattern Recognition , 25 : 1035 – 1041 .
   Web of Science ®Google Scholar
• Huang , Q. , Lorch , J. R. and Dubes , R. C. 1994 . Can the fractal Dimension of images be measured? . Pattern Recognition , 27 ( 3 ) : 339 – 349 .
   Web of Science ®Google Scholar
• De Cola , L. 1989 . Fractal analysis of a classified Landsat scene . Photogrammetric Engineering and Remote Sensing , 55 ( 5 ) : 601 – 610 .
   Web of Science ®Google Scholar
• Lam , N. S. 1990 . Description and measurement of Landsat TM images using fractals . Photogrammetric Engineering and Remote Sensing , 56 ( 2 ) : 187 – 195 .
   Web of Science ®Google Scholar
• Jones , J. G. , Thomas , R. W. and Earwicker , P. G. 1991 . Multiresolution analysis of remotely sensed imagery . International Journal of Remote Sensing , 12 ( 1 ) : 107 – 124 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Klinkenberg , B. 1994 . A fractal analysis of shadowed and sunlit areas . International Journal of Remote Sensing , 15 ( 5 ) : 967 – 977 .
   Web of Science ®Google Scholar
• Roach , D. and Fung , K. B. 1994 . Fractal-based textural descriptors for remotely sensed forestry data . Canadian Journal of Remote Sensing , 20 ( 1 ) : 59 – 70 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Voss , R. 1986 . “ Random fractals: characterization and measurement ” . In Scaling Phenomena in Disordered Systems , Edited by: Pynn , R. and Skjeltorp , A. New York : Plenum .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Gefen , Y. , Aharony , A. and Mandelbrot , B. B. 1984 . Phase transitions on fractals: III. Infinitely ramified lattices . Journal Physics A: Mathematical and General , 17 : 1277 – 1289 .
   Google Scholar
• Lin , B. and Yang , Z. R. 1986 . A suggested lacunarity expression for Sierpinski carpets . Journal Physics A: Mathematical and General , 19 : L49 – L52 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Henebry , G. M. and Kux , H. J.H. 1995 . Lacunarity as a texture measure for SAR imagery . International Journal of Remote Sensing , 16 ( 3 ) : 565 – 571 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Brodatz . 1966 . Texture: A photographic album for artists and designers , New York : Dover .
   Google Scholar