本文提出了分形维数估计的子波函数方法。理论和计算机模拟实验表明，新方法不仅实现简单，而且具有较强的噪声抑制能力。
Wavelet - based method is proposed to estimate fractal dimension. It is shown in theory and in experiment that the new method is simple to implement and robust to noises.
将分形的有关理论与机械故障诊断联系起来，论述了分形维数的基本概念，介绍了网格维数及其求取方法。
This paper connected the fractal theory with the mechanical fault diagnosis, discussed the basic concept of the fractal dimension, introduced the concept of gridding dimension and its solution.
将SAR图像的特点与分形理论相结合，提出了一种新的基于区域自选的多尺度分形维数边缘检测方法。
With the combination of SAR image features and fractal theory, a new method of edge detection by calculating the fractal dimension multiscalely is proposed.
以分形理论为依据，在雷达坐标中对电力系统负荷序列的分形维数、膨胀系数等参数进行了计算。
In accordance with the methods of fractal theory the parameters of power load series, such as fractal dimension and dilatation coefficient, are calculated in radar coordination.
基于分形理论和计算机图像处理技术，编制计算材料断口形貌计盒分形维数的MATLAB程序。
Based on the fractal theory and computer images analysis technique, a MATLAB program which computes box fractal dimension of material fracture was designed.
基于分形理论，从分形基本原理出发，提出了网格维数的二进分形计算方法，编制网格维数的计算程序。
Based on the fractal theory, from fractal fundamental theory, the computing method of binary fractal of gridding dimension was put forward and dimension computing program was worked out.
基于小角X射线散射理论，利用逐级切线法和材料分形理论中的散射强度法，分别计算PAN基炭纤维内微孔大小、体积分数及微孔表面分形维数。
Based on SAXS theory and fractal theory, we obtain the calculating method and calculating formulas of the pore size, pore volume percentage and the fractal of pore surface in PAN - based carbon fiber.
利用分形理论，采用一种新的分形维数计算方法，得出电火花加工表面的二维分形维数。
With fractal theory, a new fractal dimensional calculation is adopted to calculate two dimensional fractal dimension of EDM surface.
文章就在铁谱监测技术中应用分形理论，诸如磨粒识别、分形维数计算等方面进行了初步探讨。
This paper discusses the application of fractal geometry theory in ferrography monitoring technology like the identification of wear particles, the calculation of fractal dimension and so on.
本文从理论上讨论了材料断裂韧性与分形维数的关系。
The relationship between the fracture toughness of materials and the fractal dimension value of fractured surfaces was discussed theoretically.
基于分形理论构建了颗粒填充高分子复合材料拉伸断口的分形模型，进而提出了分形维数计算公式。
A tensile facture fractal model of grain filled polymer composites on the base of the fractal theory was established, and an equitation of the tensile fracture fractal dimension was proposed.
基于分形理论和现场岩体结构面调查，对岩体结构面进行了统计分析、网络模拟和分形维数计算。
Based on the fractal geometry theory and the survey of the on-site rock mass, the statistical analysis, the network simulation and the fractal dimension calculation of the structural planes were made.
SAXS分析表明，该薄膜的分形维数比扩散限制凝聚模型（DLA）的理论值大，团簇是由大量小颗粒构成。
The SAXS analysis show that the fractional dimensions of the film is larger than the theory value of Diffusion Limited Aggregation (DLA) and the clusters consist of a great number of small particles.
同时还应用分形理论得出水泥絮团属于典型的分形结构，其分形维数为1.846 8。
Furthermore studied the flocculated structure with fractal theory, the result show that the flocculation are typical fractal structure and the fractal dimension is 1.846 8.
学习了分形理论的基本概念、原理以及常用的计算分形维数的方法等。
To study the basic concepts, principle and general methods to calculate the fractal dimensions of fractal theory.
从产品性能公差设计的角度探讨分形公差理论的建模、分析、设计等有关方法，着重研究分形维数的计算理论和工程方法。
Some methods about fractal based tolerancing are discussed in this paper. The engineering calculation on profile fractal dimension is presented in detail.
在了解分形理论的基本知识和分形几何的维数的基础上，对分形图形的算法作了总结。
It sums up some fractal algorithm on the basis of mastering the base knowledge of the fractal theory and dimension of the fractal geometry.
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。
By using box dimension, information dimension and correlation dimension, fractal features of Wuyishan Natural and Culture Heritage were studied at a multi-dynamic scale.
并应用了颗粒形态学及分形理论，检测颗粒的相关形态参数：颗粒的投影面积、周长、粒径、形状因子、以及分形维数。
The micro-images of particle morphologic and fractal are applied to process of image processing. Morphologic parameters have been brought forward: area, girth, diameter, shape factor, and fractal.
介绍了分形理论及其在岩石爆破破碎过程中的应用，指出岩石分形维数与岩石所受的压力和作用时间相关联。
The fractal theory is applied to describe the process of the rock blasting. The fractal dimension of rock fracturing is considered to associate with the blasting stress and the impact time.
考虑分形特性，在相同加载速率条件下，所得分形维数越大，则分形裂纹速度也越大，这与理论推导是相符的；
This study also finds that under the same loading rates, increasing fractal dimension will result in an increase of fractal crack velocity which is in full agreement with the theoretical prediction.
利用分形几何学理论对煤孔隙结构进行了定量的描述和研究，推导了煤孔隙分形维数的表达式；
The paper quantitatively stated and researched the coal borehole fissure structure with the sharp geometry theory. The paper derived the expression of the coal borehole fissure sharp dimension.
文摘：将分形理论应用于混凝土损伤断裂，讨论了损伤断裂面的维数公式并进行了实际计算。
Abstract: in this paper, fractal theory is applied in the loss faulting of concrete. The dimension formula of loss faulting volume is probed and calculated.
介绍了分形理论及其特点、分形维数的计算公式与它的物理意义。
Fractional theory and its characteristics were introduced, so were the computational formula of Fractal dimension and its physical significance.
本文分析了分形理论在储层构造裂缝评价中的应用，提出了计算分形维数的网格覆盖法。
This paper presents the application of fractal theory to the evaluation of structural fractures in reservoirs and puts forward a grid-coverage method to calculate the fractal dimension.
尝试应用分形理论表征多孔材料的微结构，介绍了曲线和孔隙面积分形维数的定义，并采用盒维法对2个分形维数进行计算。
Fractal theory is applied to do it. The definition of curve and pore area fractal dimension is introduced. Two fractal dimensions are determined by box-counting method.
尝试应用分形理论表征多孔材料的微结构，介绍了曲线和孔隙面积分形维数的定义，并采用盒维法对2个分形维数进行计算。
Fractal theory is applied to do it. The definition of curve and pore area fractal dimension is introduced. Two fractal dimensions are determined by box-counting method.
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