Remote Sensing Applications and Decision Support

Spatial scaling transformation modeling based on fractal theory for the leaf area index retrieved from remote sensing imagery

[+] Author Affiliations
Ling Wu, Xiao-po Zheng, Qi-ming Qin, Hua-zhong Ren, Yue-jun Sun

Peking University, Institute of Remote Sensing and GIS, 5 Yiheyuan Road, Beijing 100871, China

Xiang-nan Liu

China University of Geosciences, School of Information Engineering, 29 Xueyuan Road, Beijing 100083, China

J. Appl. Remote Sens. 9(1), 096015 (Aug 21, 2015). doi:10.1117/1.JRS.9.096015
History: Received March 5, 2015; Accepted July 29, 2015
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Abstract.  This paper proposes a scaling transfer model based on fractal theory to retrieve the leaf area index (LAI) at different spatial resolutions and to evaluate the scaling bias on the LAI retrieved from coarse resolution images. The LAI scaling transfer model was developed by establishing the double logarithmic linear relationship between the scale n (spatial resolution) and average LAIs of the image at different scales. Thereafter, the influences of four factors, namely, coefficients of LAI retrieval model, image size, spatial resolution, and image standard deviation, which may have impact on the scaling transfer model were analyzed. The results indicated that the scaling transfer model performed well in estimating LAI with a determination coefficient (R2) value of 96.99% and in evaluating the scaling bias with a root-mean-square error of 0.0188. The scaling transfer model was considerably influenced by the image standard deviation. As the model parameter, the fractal dimension of image was highly correlated with the standard deviation of the normalized difference vegetation index image. Results indicated that the proposed method based on fractal theory is feasible for LAI spatial scaling transformation.

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© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Ling Wu ; Xiang-nan Liu ; Xiao-po Zheng ; Qi-ming Qin ; Hua-zhong Ren, et al.
"Spatial scaling transformation modeling based on fractal theory for the leaf area index retrieved from remote sensing imagery", J. Appl. Remote Sens. 9(1), 096015 (Aug 21, 2015). ; http://dx.doi.org/10.1117/1.JRS.9.096015


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