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Spatial scaling and information fractal dimension of surface parameters used in quantitative remote sensing 

Authors: Renhua Zhang a;  Jing Tian a;  Zhaoliang Li ab;  Xiaomin Sun c; Xiaoguang Jiang d
Affiliations:   a Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, China
b TRIO/LSIIT/ENSPS, Bld Sebastien Brant, BP10413, 67412 Illkirch, France
c Synthesis Center of Chinese Ecosystem Research Network, Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, China
d Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing, 100101, China
DOI: 10.1080/01431160802036581
Publication Frequency: 24 issues per year
Published in: journal International Journal of Remote Sensing, Volume 29, Issue 17 & 18 2008 , pages 5145 - 5159
Formats available: HTML (English) : PDF (English)
Also incorporating: Remote Sensing Reviews
Article Requests: Order Reprints : Request Permissions


Abstract

In this paper, a general formula has been modified, proving that the scaling difference of a surface parameter depends not only on the variance of the surface parameter itself but also on the function structure of the surface parameter. Through quantitatively describing the relationship between scaling differences and measuring scale, in terms of the concept of information fractal dimension and topological dimension, a definition of information fractal dimension used in remote sensing was proposed. By computing the information fractal dimension of Leaf Area Index and surface temperature, we found that the method describes not only the information on spatial texture and spatial structure of remotely sensed data as the traditional methods did, but also illustrates the connection between the scaling difference and measuring scale. Where the information fractal dimension of a surface parameter in some areas is known, the scaling difference can be obtained according to the measuring scale, then it can be eliminated and more accurate results could be achieved after scaling transform. At last, the problems about the relativity of true values of surface parameters were discussed.
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