Variable Step Size-Based Estimation of Fractal Dimension for Spectral Response Curve
LV Feng-hua 1, SHU Ning 1, TAO Jian-bin 2， FU Jing 1
(1.School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079， China； 2.State Key Laboratory
of Information Engineering in Surveying, Mapping, and Remote Sensing, Wuhan University, Wuhan 430079， China)
Abstract： This paper proposes an algorithm based on the variable step estimation of fractal dimension for spectral response curve of hyperspectral image. The algorithm carries out sampling on the spectral response curve at different sampling rates, computes the differential value between two consecutive points, and then counts the total sum of differential values about these sampling points. Finally, the fractal dimension is calculated by using the least squares method. To improve computation efficiency, the algorithm divides the hyperspectral image into several parts by using the multi-thread technology and then estimates the fractal dimension by the parallel computation of the polynuclear computer. Experimental results indicate that the algorithm is effective in that it solves the problem of computational inefficiency, low-fidelity, and weak separability in the algorithm of grid and step.
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2011, Vol. 23 
