Experiments indicate that the fractal scale, together with the fractal dimension can effectively reflect the fractal scale range of natural textures and the texture roughness within the scale range.
实验表明，将纹理图像的分形尺度与分形维数结合，既反映了物理表面分形的尺度范围又反映了该尺度范围内的纹理粗糙程度，从而更有效地描述和区分纹理特征。
The specimen calculation outcome indicates that transaction data waveform of time domain assume fractal scale invariant property, which fractal dimensionality can reflect complexity and irregularity.
样本计算和统计结果表明，证券交易数据的时域波形信号具有分形标度不变性，分形维数能够反映交易数据的时域波形信号的复杂性和不规则性。
There are also greater scale natural fractal object.
自然界中更大的尺度上也存在分形对象。
Fractal properties of ultrasonic signal are researched based on normalized scale box-counting dimension method successfully.
基于归一化尺度计盒维数方法研究了超声波分形特征。
Research results indicate that the pore geometry of the rock and soil shows the fractal behavior over the range from atom scale to grain size.
大量的研究表明，岩土介质的孔隙几何从原子尺度到晶粒尺寸范围内均表现出分形特征。
It focuses on the industrial agglomeration effects of the similarities analysis and the structure scale of industrial agglomeration fractal dimensions analysis.
重点对产业集聚效应的相似性分析和产业集聚规模结构无标度性分析，即产业集聚规模结构的分形维数分析。
Fractal geometry is about things have scale invariance in self-similar meaning, it is the mathematical branch.
分形几何是研究在自相似意义下事物所具有的尺度不变性的数学分支。
Fractal dimension and scale coefficient of surface profiles are calculated using structure function method.
函数 法计算磨损表面轮廓的分形维数和尺度系数。
The geotechnical materials mostly show fractal distribution, and they have self-similar or scale invariability.
岩土体材料大都表现出分形分布，具有自相似性特征或尺度不变性。
In the natural world on a bigger scale there are fractal objects.
自然界中更大的尺度上也存在分形对象。
The limitations of single fractal dimension for texture analysis are pointed out and a new concept of scale fractal dimension is proposed.
将分形用于自然纹理描述，指出了单一分形维数测度用于纹理分析的局限性，并提出了尺度分维的新概念。
The appearance of fractal geometry extended our former understanding about dimension and scale of architecture.
分形几何的出现扩展了我们对建筑的维度与比例的传统认识。
Then, Hurst analysis was used to analyze multi-fractal characteristics of different scale signals.
研究发现，分解的信号可由多尺度方法得到较好的理解。
Local gray histogram statistics is applied to object detection in the images with multi-scale fractal feature.
在多尺度分形新特征图像中采用局部直方图统计方法进行目标检测。
The result above shows that it is significant to apply the multi-fractal characteristic in mid-strong earthquake prediction of one year to one and half year scale in this area.
上述结果说明利用地震时序的多标度分形特征对于该地区的半年至一年尺度的中强地震预报是有意义的。
By using box dimension, information dimension and correlation dimension, fractal features of Wuyishan Natural and Culture Heritage were studied at a multi-dynamic scale.
利用分形理论中的计盒维数、信息维数和关联维数，采取变换取样空间的方式研究了武夷山双遗产地景区系统分形特征的多尺度效应。
For the fractal dimension of the fracture scale distribution, the damage evolvement process is a process of increasing dimension.
对断裂尺度分布的分形维数而言，损伤演化过程是一个增维过程。
Since natural fracture surfaces in rocks rarely display self-similar property, the estimated fractal dimension of surface roughness surffers from the scale effect.
然而，岩石断裂表面粗糙度一般不具有自相似分形性质。
The Analyses on frost image by box-counting method express that full growth frost was a fractal structure ranging in some scale.
采用计盒维数方法对霜层生长图像分析表明，充分生长的霜层在一定尺度范围内具有分形特征。
It comes to a conclusion that river and water system are natural fractal in the range of a certainty scale and hold statistical self-similarity.
这说明河流、水系在一定尺度范围内是自然分形体，具有统计自相似性，可应用分形理论对其进行研究。
This paper expatiates the notion of image fractal dimension and multi-scale fractal feature, proposes a ship target detection method based on multi-scale fractal feature.
阐述了图像分形维和多尺度分形特征的概念，提出了一种多尺度分形目标检测方法。
Main factors influencing precision of fractal dimension computation include number of data, distribution of data, stationarity of data, no scale area.
研究表明影响分维估计精度的主要因素有四种：数据点数、数据概率分布、数据平稳性、无标度区。
Scale invariance can be described by means of fractal and multifractal models.
尺度不变性可用分形和多重分形模型来表征。
Then, several new approaches to scale analysis are discussed. Namely they are 1)scale analysis based on fractal theory;
然后重点讨论水文尺度分析的主要新途径：1）以分形理论为基础的尺度分析；
The natural fibers were studied by fractal and scale. The internal turn round fractal of natural fiber is a special fractal structure.
根据分形理论对天然纤维进行了解析，天然纤维内在的分形自然扭曲是其特有的一种分形结构。
General spatial analytical method include geostatistics, spatial autocorrelation, fractal dimension, trend surface analysis, scale variance analysis.
常用的空间分析方法有地统计学、空间自相关分析、分维数分析、趋势面分析、尺度方差分析等。
To extract texture features from medical images, the approaches for multi-scale complexity and multi-scale fractal dimension were proposed in this paper.
提出使用多尺度复杂性方法和多尺度分维数方法提取医学图像纹理特征并将之用于图像检索。
Then, according to the salient positions, automatic scale selection is realized based on fractal dimension to build the local salient regions with appropriate size.
然后，根据显著位置，基于分形实现自动尺度选择，以构造合适尺寸的局部显著区域。
The results indicate that flood disaster systems have fractal characteristics, average time-scale of forecasting inundated area of cropland is 8~9 year.
分析结果表明，洪涝灾害系统的变化具有分形特征，农田成灾面积时间序列的平均可预测时间尺度为8～9年；
According to the fractal theory, effects of the tectonic on the fractal character of coastline are preliminarily discussed as a case study of China bedrock coast in macro-scale.
该文以福建省福州市海岸基岩为例，通过野外实地勘测与室内分析相结合的研究方法，探讨了海岸基岩节理的分形性质及其与福建省宏观断裂系的相互关系。
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