分形几何

本文讨论了图像压缩的分形几何方法，并提出了形成智能型图像压缩系统的设想。

This paper discusses the fractal geometry method of image compression . And it provides an assumption to form " Intelligent Image Compression System " .

pH值对红土粒度成分影响的分形几何研究

Fractal geometry research on the effect of pH on granulometric composition of red soil

X射线小角散射法随着分形几何理论的发展，受到了越来越多的重视；

With the development of fractal geometry theory , people pay more and more attention to SAXS .

AR模型和分形几何在设备状态监测中的应用研究

Using AR model and fractal geometry for condition monitoring of working machinery

利用分形几何理论对煤的介质损失角正切的特征作了深入的探讨.结果表明，煤的介质损失角正切tgδ具有分形特征；

Characteristic on the tangent of dielectric loss angle for coal has been researched by using fractal geometry theory .

分形几何中Sierpinski海绵改进算法的研究

Research on ameliorative algorithm of sierpinski sponge in fractal graphics

在分形几何中，Hausdorff测度与维数是基本概念，而Hausdorff测度与维数的计算是个困难的问题。

In fractal geometry , Hausdorff measure and Hausdorff dimension are basical concepts , which are difficult to calculate .

基于分形几何的WFA算法在图像压缩中的应用

WFA algorithm based on fractal geometric for application of image compression

通过建立裂纹扩展的分形几何模型，计算了冲击断口的分形维数，研究了冲击韧性与易切削相参数的相关性。影响纵向冲击韧性的是易切削相的面积分数f，由于f？

Studies were made of the calculation of fractal dimension of transverse impact fracture surface , and of the correlation between impact toughness of steel and parameters of free-cutting phase by means of the developed fractal geometry model of crack propagation .

利用带有两参数分形几何公式对安塞油田Y、Z区块特低渗储集层岩心压汞资料数据进行了分析，结果表明，该区块储集层具有单一分形和多重分形特征。

This study of mercury injection curves from cores of extra low permeability reservoirs in Y and Z blocks in Ansai oilfield shows that the reservoirs are of singular and multiple fractal natures using fractal geometric formula with two parameters .

简要介绍了分形几何理论，详细探讨了利用改进的DiamondSquare算法来生成三维分形地形的数学模型及其三维地形中的漫游技术。并在此基础上实现了分形地形的仿真和漫游。

This paper presents the fractal geometry theory briefly and focuses mainly on the mathematics model of the threedimensional fractal terrain scene by using the improved Diamond Square algorithm and the walkthrough of 3D terrain , and implements the simulation and walkthrough of the threedimensional fractal terrain on this basis .

Hausdorff半距离。在分形几何与集值分析的研究中，采用的是对称的Hausdorff距离所构成的完备度量空间，文章证明Hausdorff半距离空间是上完备空间。

Hausdorff semi-metric : In the research of fractal geometry and set-valued analysis , the complete metric space with symmetrical Hausdorff distance is utilized . In this paper , the upper completeness of Hausdorff semi-metric space is proved .

基于分形几何理论，采用Weierstrass-Mandelbrot函数生成不同分维的分形曲线模拟岩石节理不同的粗糙度。

Based on the fractal geometry theory , Weierstrass-Mandelbrot function was used to simulate the rock joint surface with different roughness .

本文简要介绍了“几何画板”在分形几何中的应用情况，给出运用“几何画板”制作分形图的两个典型例子Koch曲线和Sierpinski三角形的作法。

In this paper , it is introduced that applications of The Geometer 's Sketchpad in the Fractal geomety , two typical instances are given to the way how to design Koch Curve and Sierpinski Triangle .

20世纪80年代由曼德勃罗特（B.B.Mandelbrot）创立的分形几何提供了研究不规则几何对象的思想，方法与技巧。

Fractal geometry , which was created by B.B.Mandelbrot in the 1980s , provides the methods and techniques for the study of some irregular sets .

分形几何是曼德勃罗特（B.B.Mandelbrot）1975年创立的。

Fractal geometry was founded by B. B. Mandelbrot in 1975 . Fractal geometry is the geometry of nature and is applied in many fields .

分形几何在内燃机振动信号分析中的应用

Application of fractal geometry to analysis of vibration signal of I.C.engines

分形几何在边坡失稳预测中的应用

Application of fractal geometry on forecasting the stability of the slope

基于孔隙分形几何的生物质型煤固硫性能研究

Research on sulfur retention of bio-briquette based on pore fractal geometry

利用分形几何确定多孔介质的孔尺寸分布

Determination of the pore-size distribution in porous media with fractal geometry

流固催化反应中的分形几何对称模型及其应用前景

Fractal Geometry Symmetry Model in Fluid-Solid Catalysis Reaction and its Prospect

分形几何是一种与标度无关的集合，其自相似机构，意味着它的形状在不同的尺度变化下保持相似性。

Fractal geometry is a muster that is independent on scale .

节理岩体表征单元体的分形几何研究

Fractal study on the representative elementary volume of jointed rock masses

分形几何在植物根系研究中的应用

Application of Fractal Geometry in the Studies of Plant Root Systems

断口定量分析的分形几何方法

The method of fractal geometry for quantitative analysis of fracture surfaces

土壤大孔隙流研究中分形几何的应用进展

Fractal geometry application to the study of macropore flow in soil

分形几何在研究层状岩体断裂滑落中的应用

Application of fractal geometry in the fracture-sliding of stratified rock mass

真空镀铝膜生长过程的分形几何模型的研究

Fractal geometry model for the growth of vapor deposited aluminum film

基于分形几何的图象识别方法研究

Study on the Method of Image Recognition Based on Fractal Geometry

用分形几何法预测毛管压力曲线

Application of Fractal Geometry to Prediction of Capillary Pressure Curves