FRACTAL IMAGE-ANALYSIS - APPLICATION TO THE TOPOGRAPHY OF OREGON AND SYNTHETIC-IMAGES

被引:36
作者
HUANG, J
TURCOTTE, DL
机构
[1] Department of Geological Sciences, Cornell University, Ithaca, NY
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1990年 / 7卷 / 06期
关键词
D O I
10.1364/JOSAA.7.001124
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The Earth’s topography generally obeys fractal statistics; after either one- or two-dimensional Fourier transforms the amplitudes have a power-law dependence on wave number. The slope gives the fractal dimension, and the unit wave-number amplitude is a measure of the roughness. In this study, digitized topography for the state of Oregon (-7 points/km) has been used to obtain maps of fractal dimension and roughness amplitude. The roughness amplitude correlates well with variations in relief and is a promising parameter for the quantitative classification of landforms. The spatial variations in fractal dimension are low and show no clear correlation with different tectonic settings. For Oregon the mean fractal dimension from a two-dimensional spectral analysis is D = 2.586, and for a one-dimensional spectral analysis the mean fractal dimension is D = 1.487, which is close to the Brown noise value D = 1.5. Synthetic two-dimensional images have also been generated for a range of D values. For D - 2.6, the synthetic image has a mean one-dimensional spectral fractal dimension D = 1.58, which is consistent with our results for Oregon. This approach can be easily applied to any digitized image that obeys fractal statistics. © 1990 Optical Society of America.
引用
收藏
页码:1124 / 1130
页数:7
相关论文
共 22 条
[1]  
Aki K., 1981, EARTHQUAKE PRED RES, DOI DOI 10.1029/ME004P0566
[2]   SPHERICAL HARMONIC-ANALYSIS OF EARTHS TOPOGRAPHY [J].
BALMINO, G ;
LAMBECK, K ;
KAULA, WM .
JOURNAL OF GEOPHYSICAL RESEARCH, 1973, 78 (02) :478-481
[3]  
Barenblatt G. I., 1984, Oceanology, V24, P695
[4]   MESOSCALE SEA-FLOOR ROUGHNESS [J].
BELL, TH .
DEEP-SEA RESEARCH, 1979, 26 (01) :65-76
[5]   STATISTICAL FEATURES OF SEA-FLOOR TOPOGRAPHY [J].
BELL, TH .
DEEP-SEA RESEARCH, 1975, 22 (12) :883-892
[6]   MOMENTUM TRANSPORT BY GRAVITY WAVES [J].
BRETHERT.FP .
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 1969, 95 (404) :213-&
[7]  
COX C, 1962, J OCEANOGR SOC JPN, V20, P499
[8]   QUANTITATIVE METHODS FOR ANALYZING THE ROUGHNESS OF THE SEAFLOOR [J].
FOX, CG ;
HAYES, DE .
REVIEWS OF GEOPHYSICS, 1985, 23 (01) :1-48
[9]  
GILBERT D, 1987, J GEOPHYS RES, V92, P6235
[10]   FRACTAL MAPPING OF DIGITIZED IMAGES - APPLICATION TO THE TOPOGRAPHY OF ARIZONA AND COMPARISONS WITH SYNTHETIC-IMAGES [J].
HUANG, J ;
TURCOTTE, DL .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1989, 94 (B6) :7491-+