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Self-affinity of landform and its measurement
http://hdl.handle.net/10748/3604
http://hdl.handle.net/10748/3604fbaf47c5-a225-4fed-97c4-b84b5a5534ff
名前 / ファイル | ライセンス | アクション |
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20005-25-009.pdf (741.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2010-11-30 | |||||
タイトル | ||||||
タイトル | Self-affinity of landform and its measurement | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | fractal geometry | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | self-affinity | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | scaling parameter | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | random surfaces | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | landform | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Ouchi, Shunji
× Ouchi, Shunji |
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著者(ヨミ) |
オオウチ, シュンジ
× オオウチ, シュンジ |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Fractal geometry is expected to provide a new quantitative way to express a certain property of landform. Transect profiles of landform are considered to be self-affine because vertical and horizontal coordinates should be scaled differently, while contour lines are isotropic and self-similar. The method developed to analyze the self-affinity of curves in two-dimensional space can well express these fractal character-istics of both transect profiles and contour lines. This method is extended to analyze the three-dimensional land surfaces. The variance of elevation change Z^2, surface area S and bottom area A are measured in a number of scaling unit areas of various sizes to see whether Z^2 and A are scaled as Z^2~S^<VZ> and A~S^<VA>. The three dimensional land surface is appeared to be self-affine with VA≅1 and 0<VZ<1, and the value of VZ is equivalent to the value of scaling factor H of fractional Brownian motion traces. This method of measurement well reproduces the initially introduced H value of the computer-generated fractional Brownian surfaces, and it is confirmed to work also on the real topography | |||||
書誌情報 |
Geographical Reports of Tokyo Metropolitan University 号 25, p. 67-79, 発行日 1990 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 03868710 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00200173 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Department of Geography, Tokyo Metropolitan University |