17
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A fractal analysis of shadowed and sunlit areas

Pages 967-977 | Received 21 Jun 1993, Published online: 07 May 2007

References

  • BARTLETT , M. L. , 1991 , Comparison of methods for measuring fractal dimension . Australasian Physical and Engineering Sciences in Medicine , 14 , 146 – 152 .
  • BATTY , M. , 1991 , Cities as fractals simulating growth and form . In Fractals and Chaos , edited by A. J. Crilly, R. A. Earnshaw, and H. Jones ( New York Springer-Verlag New York, Inc. ), pp. 43 – 69 .
  • BIAN , L. , and WALSH , S. J. , 1993 , Scale dependencies of vegetation and topography in a mountainous environment of Montana . Professional Geographer , 45 , 1 – 11 .
  • BURROUGH , P. , 1984 , The application of fractal ideas to geophysical phenomena . Institute of Mathematics and its Applications Bulletin , 20 , 36 – 42 .
  • CULLING , W. , 1986 , On Hurst phenomena in the landscape . Transactions, Japanese Geomor-phological Union , 7 , 221 – 243 .
  • DE COLA , L. , 1989 a , Fractal Analysis of a classified Landsat Scene . Photogrammetric Engineering and Remote Sensing , 55 , 601 – 610 .
  • DE COLA , L. , 1989b , Multiscale data models for spatial analysis, with applications to multifractal phenomena . Auto Carlo , 9 , 313 – 321 .
  • DODD , N. , 1987 , Multispectral texture synthesis using fractal concepts . I.E.E.E. Transactions on Pattern Analysis and Machine Intelligence , 5 , 703 – 707 .
  • EVANS , I. , 1972 , General geomorphometry, derivatives of altitude, and descriptive statistics . In Spatial analysis in geomorphology , edited by R. Chorley ( London Methuen ).
  • EVANS , I. , 1984 , Correlation structures and factor analysis in the investigation of data dimensionality Statistical properties of the Wessex land surface, England . International Symposium on Spatial Data Handling , 20-24 August 1984 , Zurich , Switzerland , Proceedings of the University of Zurich-Irchel , 98 – 116 .
  • GABRIEL , P. , LOVEJOY , S. , SCHERTZER , D. , and AUSTIN , G. L. , 1988 , Multifractal analysis of resolution dependence in satellite imagery . Geophysical Research Letters , 15 , 1373 – 1376 .
  • GIEFORD , F. A. , 1989 , The shape of large tropospheric clouds, or ‘Very like a whale’ . American Meteorological Society , 70 , 468 – 475 .
  • GLASS , C. E. , CARR , J. R. , YANG , H. , and MYERS , D. E. , 1988 , Application of spatial statistics to analyzing multiple remote sensing data sets . In Geotechnical Applications of Remote Sensing and Remote Data Transmission , edited by A. I. Johnson and C. B. Petterson ( American Society for Testing and Materials , Philadelphia , 1988 ), pp. 138 – 150 .
  • GOODCHILD , M. F. , 1982 , The fractional Brownian process as a terrain simulation model . Modeling and Simulatiom , 13 , 1133 – 1137 .
  • JONES , J. G. , THOMAS , R. W. , and EARWICKER , P. G. , 1989 , Multi-resolution analysis of remotely-sensed imagery . International Journal of Remote Sensing , 12 , 107 – 124 .
  • JONES , J. G. , THOMAS , R. W. , EARWICKER , P. G. , and ADDISON , S. , 1991 , Multi-resolution statistical analysis of computer-generated fractal imagery . CVGIP Graphical Models and Image Processing , 53 , 349 – 363 .
  • KLINKENBERG , B. , and GOODCHILD , M. , 1992 , The fractal properties of topography A comparison of methods . Earth Surface Processes and Landforms , 17 , 217 – 234 .
  • KLINKENBERG , B. , 1992 , Fractals and morphometric measures Is there a relationship? Geomorphology , 5 , 5 – 20 .
  • KLINKENBERG , B. , 1993 , A review of methods used to determine the fractal dimension of linear features . Mathematical Geology . 25 , 1003 – 1026 .
  • KRUMMEL , J. R. , GARDNER , R. H. , SUGIHARA , G. , O'NEILL , R. V. , and COLEMAN , P. R. , 1987 , Landscape patterns in a disturbed environment . OIKOS , 48 , 321 – 324 .
  • KUBE , P. , and PENTLAND , A. , 1988 , On the imaging of fractal surfaces . I.E.E.E. Transactions on Pattern Analysis and Machine Intelligence , 10 , 704 – 707 .
  • LAM , N. S. , 1990 , Description and measurement of landsat TM images using fractals . Photogrammetric Engineering and Remote Sensing , 56 , 187 – 195 .
  • LIAO , K. , CAVALIERI , R. P. , and PITTS , M. J. , 1990 , Hausdorff dimensional analysis and digital imaging based quality inspection . Transactions of the ASAE , 33 , 298 – 304 .
  • LOVEJOY , S. , 1982 , Area-perimeter relation for rain and cloud areas . Science , 216 , 185 – 187 .
  • LOVEJOY , S. , and MANDELBROT , B. B. , 1985 , Fractal properties of rain, and a fractal model . Tellus , 37 ( A ), 209 – 232 .
  • LOVEJOY , S. , and SCHERTZER , D. , 1986 , Scale invariance, symmetries, fractals, and stochastic simulations of atmospheric phenomena . Bulletin of the American Meteorological Society , 67 , 21 – 32 .
  • LOVEJOY , S. , and SCHERTZER , D. , 1987 , Extreme variability, scaling and fractals in remote sensing analysis and simulation . In Digital image processing in remote sensing , edited by J. P. Muller ( London Taylor & Francis ), pp. 177 – 212 .
  • MANDLEBROT , B. B. , 1975 , Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands . Proceedings of the National Academy of Sciences , U.S.A. , 72 , 3825 – 3828 .
  • MIYAZIMA , S. , and STANLEY , H. E. , 1987 , Intersection of two fractal slopes Useful method of estimating the fractal dimension . Physical Review , 8 , 8898 – 8900 .
  • PEITGEN, H.-O., SAUPE, D. (Eds.) , 1988 , The science of Fractal images ( New York Springer-Verlag ), 312 pp.
  • PELEG , S. , NAOR , J. , HARTLEY , R. , and AVNIR , D. , 1984 , Multiple Resolution Texture Analysis and Classification . I.E.E.E. Transactions on Pattern Analysis and Machine Intelligence , 6 , 518 – 523 .
  • PENTLAND , A. P. , 1984 , Fractal-based description of natural scenes . I.E.E.E. Transactions on Pattern Analysis and Machine Intelligence , 6 , 661 – 674 .
  • PFEIFER P. , 1988 , Fractals in surface science scattering and thermodynamics of adsorbed films . In Chemistry and Physics of Solid Surfaces , Volume II , edited by R. Vanselow and R. F. Howe ( Berlin Springer ), pp. 283 – 305 .
  • PROY , C. , TANRE , D. , and DESCHAMPS , P. , 1989 , Evaluation of topographic effects in remotely sensed data . Remote Sensing of Environment , 30 , 21 – 32 .
  • RAMSTEIN , G. , and RAFFY , M. , 1990 , Algorithe d'analyse fractale de contours en télédétection et applications . International Journal of Remote Sensing , 11 , 191 – 208 .
  • REES , W. C. , 1992 , Measurement of the fractal dimension of ice-sheet surfaces using Landsat data . International Journal of Remote Sensing , 13 , 663 – 671 .
  • SKODA , C. , 1987 , Fractal dimensions of rainbands over hilly terrain . Meteorology and Atmospheric Physics , 36 , 74 – 82 .
  • TESSIER , Y. , LOVEJOY , S. , and SCHERTZER , D. , 1993 , Universal multifractals Theory and observation for rain and clouds . Journal of Applied Meteorology , 32 , 223 – 250 .
  • WOODHAM , R. , and LEE , T. , 1985 , Photometric method for radiometric correction of multispectral scanner data . Canadian Journal of Remote Sensing , 11 , 132 – 161 .
  • YOKOYA , N. , YAMAMOTO , K. , and FUNAKUBO , N. , 1989 , Fractal-based analysis and interpolation of 3D natural surface shapes and their application to terrain modeling . Computer Vision, Graphics and Image Processing , 46 , 284 – 302 .
  • ZEIDE , B. , 1991 , Fractal geometry in forestry applications . Forest Ecology and Management , 46 , 179 – 188 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.