为了给出图像类推算法的适用范围，提出了一种新的基于分形维数向量的图像的相似性度度量算子。
To give applicable range of image analogies algorithm, based on the fractal dimension vector, a new operator used to measure the image similarity is proposed.
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.
在某一分辨级水平上进行曲线形状的相似性查询和度量，同时，对于局部相似性的局部维数曲线进行匹配。
Similarity of the basic curve figures is queried and measured at some resolution ratio level, in the meantime, the fractal dimension in local similarity is matched.
提出了时变维数的概念，对原有分数布朗运动模型加以拓展，使其成为具有局部自相似性的随机过程。
The concept of varying-time dimension is presented and the original fractional Brownian motion model is extended to be a locally self-similarity stochastic process.
共混过程中的相区尺寸的演变过程具有自相似性，通过求取分形维数，从数量意义上，分析研究相分散动力学过程机理。
The result also show that evolvement process of the phaseregion size has the self-similarity and the fractal dimension can be a good means to study the evolution law of phase dispersion dynamics.
间距最大化特征选择技术是一种有效的维数约减技术，一般是基于加权技术和相似性度量构造目标函数。
Margin maximization feature weighting is an effective dimension reduction technique, and it is generally based on weighting techniques and similarity measure to construct their objective functions.
应用计盒维数法的基本原理考察了大豆酸奶和酸牛奶是否具有以自相似性为特征的分形结构，并最终确定豆浆酸奶和酸牛奶的分形维数分别为1.9105、1.9268。
Box counting method was applied to investigate the fractal structure and the fractal dimension for soy based and dairy yoghurt was determined to be 1.9105 and 1.9268 respectively.
研究结果表明：不同温度下油页岩内部裂隙的分布具有很强的自相似性，符合分形规律，分形维数为1.0 ~ 1.5。
The achieved results show that the thermal fissures have strong self-similarity according with fractals laws, and the values of fractal dimensions are ranged from 1.0 to 1.5.
随着干扰强度的增强，与人们生活密切相关的景观类型的分形维数减小，斑块的相似性增强。
With increasing disturbance, the fractal value of landscapes in close relation to human life was getting less, but the similarity of landscape patches enhanced.
随着干扰强度的增强，与人们生活密切相关的景观类型的分形维数减小，斑块的相似性增强。
With increasing disturbance, the fractal value of landscapes in close relation to human life was getting less, but the similarity of landscape patches enhanced.
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