MULTIFRACTAL ANALYSES OF GRAYSCALE AND BINARY SOIL THIN SECTION IMAGES
文献类型：期刊论文
| 作者 | Zhou, H.1,2; Perfect, E.3; Lu, Y. Z.1; Li, B. G.1; Peng, X. H.2 |
| 刊名 | FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 19期号:3页码:299-309 |
| 关键词 | Multifractal Grayscale Images Binary Images Soil Thin Section |
| ISSN号 | 0218-348X |
| DOI | 10.1142/S0218348X11005403 |
| 通讯作者 | Li, B. G.(libg@cau.edu.cn) |
| 英文摘要 | Consistent linearity was observed in the resulting functions for the grayscale images, indicating, by definition, multifractal behavior. In contrast, the log(chi(q, delta)) versus log(delta) plots for the binary images exhibited a two-region response, with a flat plateau at small scales and linearity at larger scales, indicating they were not true multifractals. Generalized dimensions (D(q)) computed from the linear portions of the binary log-transformed partition functions were significantly over estimated for q << 0 and underestimated for q >> 0 relative to corresponding D(q) values for the grayscale images. Based on these results we contend that binary images are not mathematical multifractals, and that generalized dimensions estimated from them cannot be used to quantify pore space geometry. Instead we encourage further exploration of the use of grayscale images for multifractal characterization of soil structure. This direct approach is theoretically sound and does not require any intermediate thresholding step, which is known to influence the results of multifractal analyses.Multifractal analyses of binary images of soil thin sections (STS) are widely used to characterize pore structure. However, no geometrical model is known to exist for a binary multifractal. Thus, the multifractality of binary images, and the accuracy of multifractal parameters estimated from them, need to be carefully evaluated. We captured 8-bit depth resolution digital grayscale images of three STS images with dimensions of 1024 x 1024 pixels and a pixel length of 1.9 mu m. Random grayscale geometrical multifractal fields (GMF) with similar dimensions and known multifractal parameters were constructed using generators extracted from the STS images. The STS and GMF grayscale images were objectively thresholded to give six binary images. The method of moments was used to compute the log-transformed partition function,log(chi(q, delta)) versus log(delta) where delta is box size, for each grayscale image and its binary counterpart. |
| 收录类别 | SCI |
| WOS关键词 | BOX-COUNTING METHODS ; MICROSCOPE IMAGES ; GLIDING BOX ; SPECTRA |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| WOS类目 | Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences |
| 语种 | 英语 |
| WOS记录号 | WOS:000294310600004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2558979 |
| 专题 | 南京土壤研究所 |
| 通讯作者 | Li, B. G. |
| 作者单位 | 1.China Agr Univ, Dept Soil & Water Sci, Beijing 100193, Peoples R China 2.CAS, Inst Soil Sci, State Key Lab Soil & Sustainable Agr, Nanjing 210008, Peoples R China 3.Univ Tennessee, Dept Earth & Planetary Sci, Knoxville, TN 37996 USA |
| 推荐引用方式 GB/T 7714 | Zhou, H.,Perfect, E.,Lu, Y. Z.,et al. MULTIFRACTAL ANALYSES OF GRAYSCALE AND BINARY SOIL THIN SECTION IMAGES[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY,2011,19(3):299-309. |
| APA | Zhou, H.,Perfect, E.,Lu, Y. Z.,Li, B. G.,&Peng, X. H..(2011).MULTIFRACTAL ANALYSES OF GRAYSCALE AND BINARY SOIL THIN SECTION IMAGES.FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY,19(3),299-309. |
| MLA | Zhou, H.,et al."MULTIFRACTAL ANALYSES OF GRAYSCALE AND BINARY SOIL THIN SECTION IMAGES".FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 19.3(2011):299-309. |
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来源：南京土壤研究所
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