Fractal geometry is considered as a new method for quantitative analysis and explanation of surface complexities and roughness in self-similar or self-affine landforms. In the present study, the surface fractal dimensions were investigated by a cellular model by covering divider method and remote sensing data, in a complex morphotectonic region in terms of tectonic, geological, and geomorphological structures along the margin of the High Zagros Belt. Results of this study indicated that surface anomalies can be detected by cellular fractal model due to variations at the boundary of lithological units and structural zones, and along faults that can change the characters of the fractal dimension of landforms. Investigation of wavelet analyses on two profiles of study area shows that the amplitude and frequency of the fractal dimension is related to lithological and structural zones boundaries, and to the presence of faults. In this study, the lowest fractal dimension is associated with the integrated units of Mesozoic orbitolina limestone on the border of the two structural zones of Sanandaj-Sirjan and High Zagros belt. However, the presence of friable and erodible Quaternary formations increases the fractal dimension. There is an inverse relationship between the fractal dimension and elevation and Terrain Ruggedness Index, indicating that mountains have lower fractal dimensions than lowlands. The results of the present study show that fractal dimensional changes in topographically complex zones depend on the interaction of a set of lith-ological, tectonic, and geomorphological factors, and allow for a systematic quantitative analysis of landforms.

中文翻译：

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通过分形分析检测表面异常及其与构造构造的关系（伊朗高扎格罗斯地带）

分形几何被认为是一种定量分析和解释自相似或自仿射地貌的表面复杂性和粗糙度的新方法。在本研究中，通过分形方法和遥感数据，通过细胞模型研究了沿高Zagros带边缘的构造，地质和地貌结构在复杂的构造区域中的表面分形维数。这项研究的结果表明，由于岩性单元和构造带边界以及沿断层的变化会改变地貌的分形维数特征，因此可以通过细胞分形模型检测到表面异常。对研究区域的两个剖面进行小波分析研究表明，分形维数的幅度和频率与岩性和构造带边界以及断层的存在有关。在这项研究中，最低分形维数与Sanandaj-Sirjan和High Zagros带两个结构区的边界上的中生代眶斜灰岩的整合单元有关。但是，易碎和易蚀的第四纪地层的存在增加了分形维数。分形维数与高程与地形崎Index度指数之间存在反比关系，表明山脉的分形维数比低地低。本研究的结果表明，地形复杂区域中的分形维数变化取决于一组岩性学，