Fractal Characteristics of Visible Spectra Across a Hilly Area
ZHANG Fa-sheng1,3, LIU Zuo-xin1*, WAN Hao-lei2,3, LIU Miao1
1. Institute of Applied Ecology, Chinese Academy of Sciences，Key Laboratory of Liaoning Water-Saving Agriculture, Shenyang 110016, China 2. Beijing Institute of Genomics, Chinese Academy of Sciences，Key Laboratory of Genome Sciences and Information, Beijing 100029, China 3. Graduate University of Chinese Academy of Sciences, Beijing 100049, China
Abstract：The spectral characteristic of remotely sensed image is mainly the results of integrative effects on spectrum from heterogeneous ground reflectors. Investigating its spatial distribution characteristics may be helpful for image interpreting and modeling based on remote sensing technique. In the present study, spatial heterogeneity of remotely sensed multispectral TM image across a hilly area in late October was studied by the combination of statistical method and multifractal analysis. The results showed that distribution of digital number (DN) values of visible spectra (0.45～0.69 μm) had statistical scale-invariance. The generalized fractal dimension function Dq suggested that distribution of TM 2 (0.52～0.60 μm) DN values was monofractal type, whereas DN values of TM 1 (0.45～0.52 μm) and TM 3 (0.63～0.69 μm) had multifractal distribution characteristics. The parameters (αmax-αmin) and [f(αmax)-f(αmin)] of multifractal spectra further indicated that TM 3 DN values had the highest spatial heterogeneity and most abundant information, followed by TM 1, while the extremely narrow spectrum of TM 2 DN values showed its relatively low spatial heterogeneity and information capacity.
张法升1,3，刘作新1*，万昊雷2,3，刘 淼1 . 低山丘陵区可见光谱的分形特征[J]. 光谱学与光谱分析, 2011, 31(02): 473-477.
ZHANG Fa-sheng1,3, LIU Zuo-xin1*, WAN Hao-lei2,3, LIU Miao1 . Fractal Characteristics of Visible Spectra Across a Hilly Area. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2011, 31(02): 473-477.
[1] Nanni M R, Dematte J A M. Soil Sci. Soc. Am. J., 2006, 70(2): 393. [2] Gomez C, Rossel R A V, McBratney A B. Geoderma, 2008, 146(3-4): 403. [3] Croft H, Anderson K, Kuhn N J. Eur. J. Soil Sci., 2009, 60(3): 431. [4] ZHANG Fa-sheng, QU Wei, YIN Guang-hua, et al(张法升, 曲 威, 尹光华, 等). Chinese Journal of Applied Ecology(应用生态学报), 2010, 21(4): 883. [5] Cheng Q M. Comput. Geosci-UK., 1999, 25(9): 946. [6] Mandelbrot B B. The Fractal Geometry of Nature. New York: W. H. Freeman and Company, 1982. [7] Rényi A. Probability Theory. Nortn Lolland, Amsterdam. 1970. [8] Seuront L, Lagadeuc F S Y, Schertzer D, et al. J. Plankton Res., 1999, 21(5): 877. [9] Bird N, Diaz M C, Saa A, et al. J. Hydrol., 2006, 322(1-4): 211. [10] Lopes R, Betrouni N. Med. Image Anal., 2009, 13(4): 634. [11] Qiu H L, Lam N S N, Quattrochi D A, et al. Photogramm Eng. Remote Sensing, 1999, 65(1): 63. [12] Halsey T C, Jensen M H, Kadanoff L P, et al. Phys. Rev. A, 1986, 33(2): 1141. [13] Brown G, Michon G, Peyrière J. J. Stat. Phys., 1992, 66(3-4): 775. [14] Kravchenko A N, Boast C W, Bullock D G. Agron. J., 1999, 91(6): 1033. [15] Wang D, Fu B J, Zhao W W, et al. Catena, 2008, 72(1): 29. [16] Townshend J R G. Int. J. Remote Sensing, 1994, 15(17): 3319. [17] Zomer R, Ustin S, Ives J. Int. J. Remote Sensing, 2002, 23(1): 1366. [18] Lam N S N, De Cola L. Fractals in Geography. Englewood Cliffs. New Jersey: Prentice Hall, 1993. [19] Wang Z Y, Shu Q S, Liu Z X, et al. Aust. J. Soil Res., 2009, 47(8): 821. [20] Liu Z X, Shu Q S, Wang Z Y. Water Resour. Manag., 2007, 21(10): 1751.
