我已经写在我的生活的许多分形应用。
发现奇异量子扩散是准周期体系的普遍特性，其扩散指数由电子能级和波函数的多分形性质确定；
We found that anomalous quantum diffusion is a general feature of quasiperiodic systems and its scaling indices are determined by the fractal dimensions of energy spectra.
分析表明：在对材料的组织结构进行研究的问题中，多重分形谱是一种有意义的表征参数，能够从多分形角度对材料的组织结构开展定量化的分析与解释。
In analyzing material structure, the multifractal spectrum is ac hara cteristic parameter which enables the quantitative analysis and explanation ofm ater ial structure from multifractal perspective.
植株灌木型，茎多分枝，可长至50厘米高或更高，茎干8到15毫米粗，淡绿色，有白霜，近根处色深暗，叶痕呈双凸形。
Plant shrubby, caudex branching, to 50 cm tall or more, 8-15 mm thick, pale green and glaucous above, darker below, leaf scars lenticular.
为实现地形漫游，提出基于三角形二叉树的地形网格模型动态简化算法，实现了与视点相关的连续多分辨率简化及快速动态绘制。
This paper proposes a dynamic simplification algorithm for the terrain model based on the Triangle Subdivision Bi tree to realize continuous view dependent multi resolution rendering of terrain mesh.
在离散分形布朗随机场(DFBR)理论的基础上，提出一种多分辨率目标识别算法。
Based on the Discrete Fractal Brownian Random Field (DFBR) an algorithm of multiresolution object recognition is presented.
金红石呈半自形粒状结构，多分布于透闪石矿物之间。
Rutile exists as subhedral granular texture, and is mainly distributed between tremolite.
该算法首先通过引入体积保持约束，快速地实现稠密多边形网格的多分辨率表示。
The algorithm first produces a multiresolution representation for the polygonal mesh by introducing volume preserving constraints.
ROAM算法就是通过采用分解和合并方法实时地调整三角形网格，能交互式地实现观察依赖、局部可调整的地形网格化处理，生成多分辨率的地形模型。
ROAM method adopts split and merge operations to adjust triangle meshes, can interactively perform view-dependent, locally-adaptive terrain meshing and can construct multiresolution terrain model.
根据小波多分辨率分析和水文序列的统计自相似性，提出了水文序列分形维数的小波估计方法，给出了其计算步骤。
Based on the statistical self-similarity of hydrolgy time series, a new approach for estimating the fractal dimension by using successive wavelet transform coefficients is proposed.
其中，基于分形理论的图像编码方法以其编码思想新颖、高压缩比、多分辨率、快速解码等优点受到了广泛关注。
The image coding method based on fractal theory is firstly proposed by Barnsley in 1988, which is developed from mathematical theory called Iterated Function Systems (IFS).
其中，基于分形理论的图像编码方法以其编码思想新颖、高压缩比、多分辨率、快速解码等优点受到了广泛关注。
The image coding method based on fractal theory is firstly proposed by Barnsley in 1988, which is developed from mathematical theory called Iterated Function Systems (IFS).
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